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DECIGOによる宇宙論的距離 での重力理論の検証 西澤篤志 (名古屋大学 KMI) 2018年11月1-2日 @ 名古屋大学 DECIGO ワークショップ

DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

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Page 1: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

DECIGOによる宇宙論的距離での重力理論の検証西澤篤志 (名古屋大学 KMI)

2018年11月1-2日 @ 名古屋大学DECIGO ワークショップ

Page 2: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

小スケール

大スケール弱い重力 強い重力

重力波の生成

重力波の伝播

Psaltis 2008 (modified)

動的 & 宇宙論的距離

動的 & 強い時空の曲率

重力ポテンシャル

準静的 & 弱い

重力波による重力の検証

Page 3: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

1. 動的かつ宇宙論的距離スケールでの重力場を検証できる.

2. 重力理論の微小な修正効果であっても、長距離伝播することにより効果が増幅されて観測できる.

3. 重力波の伝播方程式は様々な重力波源や背景時空に適用できる.

重力波伝播を考える利点

Page 4: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

実効場の理論における、宇宙論的線形摂動でのテンソルモードの運動方程式

重力波の一般化された伝播方程式

Saltas et al. 2014

h00ij + (2 + ⌫)Hh0

ij + (c2T k2 + a2µ2)hij = a2��ij

⌫, cT, µ,� : 時間に依存する任意関数

Page 5: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

CT : 重力波の伝播速度

h00ij + (2 + ⌫)Hh0

ij + (c2T k2 + a2µ2)hij = a2��ij

l ローレンツ対称性の破れ

l 等価原理の破れ

l 修正分散関係

重力波の一般化された伝播方程式実効場の理論における、宇宙論的線形摂動でのテンソルモードの運動方程式 Saltas et al. 2014

Page 6: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

h00ij + (2 + ⌫)Hh0

ij + (c2T k2 + a2µ2)hij = a2��ij

l 有質量重力理論

l コンパクト化された余剰次元

µ : 重力子の質量

重力波の一般化された伝播方程式実効場の理論における、宇宙論的線形摂動でのテンソルモードの運動方程式 Saltas et al. 2014

Page 7: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

h00ij + (2 + ⌫)Hh0

ij + (c2T k2 + a2µ2)hij = a2��ij

l 余剰次元からのエネルギーの流入

l 他の場への非最小結合

� : 重力波に対するソース項

重力波の一般化された伝播方程式実効場の理論における、宇宙論的線形摂動でのテンソルモードの運動方程式 Saltas et al. 2014

Page 8: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

h00ij + (2 + ⌫)Hh0

ij + (c2T k2 + a2µ2)hij = a2��ij

l 重力の強さの時間変化

l 時空の実効的摩擦 (余剰次元への漏れ, 時空の量子効果)

⌫ = H�1 d lnM

2⇤

dt: 実効プランク質量の時間変化率

(変動する重力定数)

重力波の一般化された伝播方程式実効場の理論における、宇宙論的線形摂動でのテンソルモードの運動方程式 Saltas et al. 2014

Page 9: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

GR 解MG の数値解MG の WKB 解

重力波源 at z=1

Nishizawa 2018

振幅減衰率

重力子の質量 伝播速度

Page 10: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

l これまでに 5つの BH 連星と 1つの NS 連星からの重力波が検出されている.

l BH 連星からの重力波により重力子に制限が付けられている.

l GW170817/GRB170817A より重力波の伝播速度に強い制限が与えられた.

l 伝播速度が光速からずれるような修正重力理論はほぼ棄却された.

重力波伝播による検証の現状

�3⇥ 10�15 <cgw � c

c< 7⇥ 10�16

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mg < 7.7⇥ 10�23 eV<latexit sha1_base64="CeOu2NhNvPwS6h85FZA1vqUMRQc=">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</latexit><latexit sha1_base64="DhJxqZ2yt9h4E8JjtLfCxDbxRK8=">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</latexit><latexit sha1_base64="DhJxqZ2yt9h4E8JjtLfCxDbxRK8=">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</latexit><latexit sha1_base64="6moE/HgCVYffnkUaZLPybaYbU9w=">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</latexit>

Baker et al. 2017, Creminelli & Vernizzi 2017, Sakstein & Jain 2017 Ezquiaga & Zumalacarregui 2017, Arai & Nishizawa 2018

LIGO Scientific Collaboration 2017

LIGO Scientific Collaboration 2016-2017

LSC + Fermi + INTEGRAL, ApJL 848, L13

Page 11: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

重力波の振幅減衰率と重力定数

h = e�DhGR<latexit sha1_base64="7lFm3ozeSO5euonoHPfW+rhwLRA=">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</latexit><latexit sha1_base64="Bq94bbrg7PHfHWgy8CLB+2GAsUM=">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</latexit><latexit sha1_base64="Bq94bbrg7PHfHWgy8CLB+2GAsUM=">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</latexit><latexit sha1_base64="mWcTO8QF3jkYRVVTBDYotVAPgBA=">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</latexit>

D =1

2

Z z

0

1 + z0dz0

⌫ = ↵M = H�1 d logM

2⇤

dt<latexit sha1_base64="lYPf82FQJcnexuhSVrpMWMTwyQ8=">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</latexit><latexit sha1_base64="TsNuhujMUOIVKmzVJ9v1ldPBYvw=">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</latexit><latexit sha1_base64="TsNuhujMUOIVKmzVJ9v1ldPBYvw=">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</latexit><latexit sha1_base64="XmFJAK1E3gWtmM/t/VaHzGxlRYA=">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</latexit>

e�D =M⇤(z)

M⇤(0)=

sGgw(0)

Ggw(z)<latexit sha1_base64="eEkqTpUCyD1eKHeDGUiZdpqKF0I=">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</latexit><latexit sha1_base64="kGMQxQuBe/obMZrSbRWwY7Tqqew=">AAACkXichVBNSxtRFD2OH41pNdFsCm4GxaKC4Y0bbaEQrKJQRI1GBaPDm/ElHZyvzrxEdJg/4FpwUbpQ8D9040Lc9A904abbFrqs4NabSUBbUe+Dd8899xwu9xq+bYWSsas2pb2js+tFqjv98lVPbybb178WerXAFCXTs71gw+ChsC1XlKQlbbHhB4I7hi3Wjd0Pjf56XQSh5bmrct8XWw6vulbFMrkkSs8WxXY0HpVNbqszcay+V8uVgJvRgj42cjAaJ5mNJnz4OZBRszunR+XAUat7caN5vyRPrGeHWJ4loT4EWgsMFWYXL87P+r4uedkjlLEDDyZqcCDgQhK2wRHS24QGBp+4LUTEBYSspC8QI03eGqkEKTixu/RXqYoIe6TxSP+UitPExpR9ygYpVQwLX88cvl65edblUJb4dOd61LFJrEQFU8kOFm3oJ0xjV7Pprx8c/115VxyO3rBT9of9YCfsil2y78ytX5tny6L4BWk6rfb/IR+CtYm8xvLaMt14Gs1IYQCDGKFLTqKAeSyhRHO/4Sd+4beSU94qBaWlVdpanhz+CeXjLUqpn98=</latexit><latexit sha1_base64="kGMQxQuBe/obMZrSbRWwY7Tqqew=">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</latexit><latexit sha1_base64="OtOT1ADxN55hJWuGzt/q0wXnbG8=">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</latexit>

↵T = c2T � 1 = 0<latexit sha1_base64="6Zw+dzx2x9SmHqMz8N41JVV8JoY=">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</latexit><latexit sha1_base64="GyxIa9DyM2CoK9ZgeO3AaMqiM3M=">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</latexit><latexit sha1_base64="GyxIa9DyM2CoK9ZgeO3AaMqiM3M=">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</latexit><latexit sha1_base64="X9O7NW/2b/MkFuZQHTRxdhBIS5E=">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</latexit>

Ggw<latexit sha1_base64="kqZuKETmCzhSwr2TSgLRGFhyvDA=">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</latexit><latexit sha1_base64="Fuo3VsOwzeOqYEZfzzsjQQoa6A0=">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</latexit><latexit sha1_base64="Fuo3VsOwzeOqYEZfzzsjQQoa6A0=">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</latexit><latexit sha1_base64="A+tAc90CGeyWpEziFkqZjY1NMuI=">AAACR3ichVC7SgNBFD0bXzE+ErURbIIhYhVmbRSroIWWeZgHJiHsrpO4ZF/sbiIx5AesAxaioOCX2OgHWOQbLCwUtfRmsyAa1Dswc+bcc7jcI1ua6riM9YXA2PjE5FRwOjQzOzcfjiws5h2zaSs8p5iaaRdlyeGaavCcq7oaL1o2l3RZ4wW5sTvoF1rcdlTTOHDbFq/oUt1Qa6oiuUQd7lU7ZVuP1k+61UiMJZhX0VEg+iAGv1JmpIcyjmBCQRM6OAy4hDVIcOiUIILBIq6CDnE2IdXrc3QRIm+TVJwUErENuuv06xA2SWOS/i+VRBMHU9r0yqSMIs6tavhsOfv+r0un18Xxl+tXR4lYFzVseTuotKHlMYNdlaG/dXr+kt3OxDtr7IY9sUd2zfrsjt0zo/Wq3KZ55gIhilb8GeQoyG8kRJYQ0yyW3PFDDmIFq1inJDeRxD5SyNFcAz1c4kp4EJ6FN+FjKA0IvmcJ3yogfAJGV4Ri</latexit>

: 重力波に対する重力定数

波源までの実効的距離は dL,e↵(z) =

sGgw(z)

Ggw(0)dL(z)

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とすると

真の距離と比較するためには、赤方偏移の測定が必要

Nishizawa 2018

Page 12: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

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重力レンズ

銀河クラスタリング 一般相対性理論では全てGN

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Lgw =1

64⇡Ggw

nh2ij � a�2(rhij)

2o

<latexit sha1_base64="IpP1h5vHeEc6gZFCEBlYBZVysJ0=">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</latexit><latexit sha1_base64="5HzowK0Gk5VCDcqgtEi1igt24GQ=">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</latexit><latexit sha1_base64="5HzowK0Gk5VCDcqgtEi1igt24GQ=">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</latexit><latexit sha1_base64="MXb5pXUIvjbcSvtwSuzLTslKumo=">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</latexit>

宇宙論的距離での等価原理を検証

k2 = �4⇡Gmatter(k, ⌧)�⇢m<latexit sha1_base64="XwfAz56Zi7Nseum2O+S9EFwoTDM=">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</latexit><latexit sha1_base64="IIHcdymnPSbs9Ire2jWecrloXhk=">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</latexit><latexit sha1_base64="IIHcdymnPSbs9Ire2jWecrloXhk=">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</latexit><latexit sha1_base64="36bWPLAaLdU7TqcnENHhG/oY3dQ=">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</latexit>

k2( + �) = �8⇡Glight(k, ⌧)�⇢m<latexit sha1_base64="CiF2iB9w+JFqXVhuK7vEPTKO05w=">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</latexit><latexit sha1_base64="B9RNTH9tM0EVjpBzcj2byRlHeXk=">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</latexit><latexit sha1_base64="B9RNTH9tM0EVjpBzcj2byRlHeXk=">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</latexit><latexit sha1_base64="bZgMoHuzdfzam6D5Hco2EUMvM4s=">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</latexit>

宇宙加速膨張を修正重力で説明しようとすると、宇宙論的距離では等価原理が破れてしまう.

重力波

Page 13: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

連星のパラメータ推定

フィッシャー情報行列を用いて、パラメータ推定誤差を見積もる.

l 各500 個の連星を生成し、SNR > 8 のものが検出されるとする.

l 連星の方向や傾き角: 一様ランダム

l 重力波波形:Khan et al. 2016

ポストニュートンインスパイラル波形 (BH-NS, BNS)

現象論的 IMR (Phenom-D) 波形 (BBH)

l 赤方偏移は母銀河の観測または電磁対応天体により決まると仮定.

Page 14: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

HLV network, redshift prior

定数の ⌫, µ

30M� � 30M�

10M� � 10M�

10M� � 1.4M�

�z = 10�3

1.4M� � 1.4M�<latexit sha1_base64="RQSKFvbkcWAUvaNvv93BUD+2ilw=">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</latexit><latexit sha1_base64="vBPPXplOH9JbBNF/pLwdUDeu9LE=">AAACXnichVA9SwNBFJycXzF+JGoTsDAqSgQNeyIoVkEbGyGJJhGMhLvLqkcut8fdJhBDShsbG8HCSsHKVv+ANv4Bi3T2liq2viSCqKhvYXd23gyPN7pjmZ5krOFTOjq7unv8vYG+/oHBYGhoOOOJsmvwtCEs4W7pmsct0+ZpaUqLbzku10q6xbN6cbXZz1a465nC3pRVh++UtD3b3DUNTRKVD42psYXc7Hq+lhMFIeuRuchXIh+aZDHWqshPoH6Ayfh49PX2ODeTEKET5FCAgIEySuCwIQlb0ODR2YYKBoe4HdSIcwmZrT5HHQHylknFSaERW6R7j341woI0gvR/qTSa2JxSpVcnZQRT3MkHj8Ibb/+6SvRK7H+6fnVsEyuxi6XWDiZt6LSY5q5G2185OH3eWE5N1abZBXtiD+ycNdgdu2d25cW4TPLUGQIUrfo9yJ8gMx9TWUxNUsYraJcfo5hAlJJcRBxrSCBNcw9xhWvc+B6VbmVACbaliu/DM4IvpYTfAQssi/Q=</latexit><latexit sha1_base64="vBPPXplOH9JbBNF/pLwdUDeu9LE=">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</latexit><latexit sha1_base64="n97aFlvomljqwS8lPrKIO51i3uQ=">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</latexit>

第2世代検出器での測定誤差Nishizawa 2018

⌫<latexit sha1_base64="YLQMcGDP01eglVIyzs3u5cgN94M=">AAACQHichVC7SgNRED3rM66PRG0Em2CIWIW7NoogBm0s8zAPSELYXW/ikn2xuwnEIFgLdmIKKwV/RAv9AYv8gWAhoiBYOdkERIM6A3fOPXMOw4xi65rrMdYRhoZHRsfGAxPi5NT0TDA0O5d1rbqj8oxq6ZaTV2SX65rJM57m6TxvO1w2FJ3nlNpOt59rcMfVLHPPa9q8ZMhVU6toquwRlS6a9XIowmLMj/AgkPogsnUnbh4DSFihMxSxDwsq6jDAYcIjrEOGS1mABAabuBJaxDmENL/PcQSRvHVScVLIxNbordKvRdgijUX6v1QyTexOaVJVSBlGlNvl4MlC+v1fl0HVw8GX61dHgVgPFaz7O2i0oe0z3V3Vnr9x2H5Nb6SirWV2xZ7YA7tkHXbL7pnZeFOvkzx1AZFOK/085CDIrsYkFpOSLBLfRi8CWMQSVuiSa4hjFwlkaG4VpzhHW7gRHoVn4aUnHRL6nnl8C+HjE29rhFA=</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="kiJL5SMmEAmIoBmohq0j7ri9wWg=">AAACQHichVC7SgNBFD0bXzE+ErURbIIhYhVmbRSroI1lHuYBSQi76yQO7ovdTSAGf0CwE1NYKfgj2vgDFvkDwUJEQbDyZrMgGtQ7MHPm3HO43KPaunA9xvpSaGx8YnIqPB2ZmZ2bj8YWFouu1XI0XtAs3XLKquJyXZi84AlP52Xb4Yqh6rykHu0O+qU2d1xhmftex+Y1Q2maoiE0xSMqXzVb9ViCpZhf8VEgByCBoDJW7BxVHMCChhYMcJjwCOtQ4NKpQAaDTVwNXeIcQsLvc5wgQt4WqTgpFGKP6G7Sr0vYIo1F+r9UCk0cTOnQq5IyjiS369HT5fz7vy6DXg+HX65fHRViPTSw5e8gaEPbZwa7akN/+7j3mt/OJbtr7Jo9sQd2xfrsjt0zs/2m3WR57hIRilb+GeQoKG6kZJaSsyyR3glCDmMFq1inJDeRxh4yKNDcJs5wgZ50Kz1Kz9LLUBqSAs8SvpX08QllRoKD</latexit>

は O(1) の誤差で測定可能.

h00ij + (2 + ⌫)Hh0

ij + c2k2hij = 0<latexit sha1_base64="02tCV3HF4Q6SzmkGcoFz1Ql04uc=">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</latexit><latexit sha1_base64="dIoKmayyoKpD48fRAUEzXq+i99A=">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</latexit><latexit sha1_base64="dIoKmayyoKpD48fRAUEzXq+i99A=">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</latexit><latexit sha1_base64="odeoFcYb0OirWU6Lb4D/2pP7W6c=">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</latexit>

Page 15: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

第3世代検出器での測定誤差

⌫<latexit sha1_base64="YLQMcGDP01eglVIyzs3u5cgN94M=">AAACQHichVC7SgNRED3rM66PRG0Em2CIWIW7NoogBm0s8zAPSELYXW/ikn2xuwnEIFgLdmIKKwV/RAv9AYv8gWAhoiBYOdkERIM6A3fOPXMOw4xi65rrMdYRhoZHRsfGAxPi5NT0TDA0O5d1rbqj8oxq6ZaTV2SX65rJM57m6TxvO1w2FJ3nlNpOt59rcMfVLHPPa9q8ZMhVU6toquwRlS6a9XIowmLMj/AgkPogsnUnbh4DSFihMxSxDwsq6jDAYcIjrEOGS1mABAabuBJaxDmENL/PcQSRvHVScVLIxNbordKvRdgijUX6v1QyTexOaVJVSBlGlNvl4MlC+v1fl0HVw8GX61dHgVgPFaz7O2i0oe0z3V3Vnr9x2H5Nb6SirWV2xZ7YA7tkHXbL7pnZeFOvkzx1AZFOK/085CDIrsYkFpOSLBLfRi8CWMQSVuiSa4hjFwlkaG4VpzhHW7gRHoVn4aUnHRL6nnl8C+HjE29rhFA=</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="kiJL5SMmEAmIoBmohq0j7ri9wWg=">AAACQHichVC7SgNBFD0bXzE+ErURbIIhYhVmbRSroI1lHuYBSQi76yQO7ovdTSAGf0CwE1NYKfgj2vgDFvkDwUJEQbDyZrMgGtQ7MHPm3HO43KPaunA9xvpSaGx8YnIqPB2ZmZ2bj8YWFouu1XI0XtAs3XLKquJyXZi84AlP52Xb4Yqh6rykHu0O+qU2d1xhmftex+Y1Q2maoiE0xSMqXzVb9ViCpZhf8VEgByCBoDJW7BxVHMCChhYMcJjwCOtQ4NKpQAaDTVwNXeIcQsLvc5wgQt4WqTgpFGKP6G7Sr0vYIo1F+r9UCk0cTOnQq5IyjiS369HT5fz7vy6DXg+HX65fHRViPTSw5e8gaEPbZwa7akN/+7j3mt/OJbtr7Jo9sQd2xfrsjt0zs/2m3WR57hIRilb+GeQoKG6kZJaSsyyR3glCDmMFq1inJDeRxh4yKNDcJs5wgZ50Kz1Kz9LLUBqSAs8SvpX08QllRoKD</latexit>

は 0.02 の誤差まで測定可能.

3

Nishizawa & Arai, in prep.

Page 16: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

B-DECIGO での測定誤差

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BBHBBHBBH

SNR が大きい方が の測定誤差も小さくなる.

⌫<latexit sha1_base64="YLQMcGDP01eglVIyzs3u5cgN94M=">AAACQHichVC7SgNRED3rM66PRG0Em2CIWIW7NoogBm0s8zAPSELYXW/ikn2xuwnEIFgLdmIKKwV/RAv9AYv8gWAhoiBYOdkERIM6A3fOPXMOw4xi65rrMdYRhoZHRsfGAxPi5NT0TDA0O5d1rbqj8oxq6ZaTV2SX65rJM57m6TxvO1w2FJ3nlNpOt59rcMfVLHPPa9q8ZMhVU6toquwRlS6a9XIowmLMj/AgkPogsnUnbh4DSFihMxSxDwsq6jDAYcIjrEOGS1mABAabuBJaxDmENL/PcQSRvHVScVLIxNbordKvRdgijUX6v1QyTexOaVJVSBlGlNvl4MlC+v1fl0HVw8GX61dHgVgPFaz7O2i0oe0z3V3Vnr9x2H5Nb6SirWV2xZ7YA7tkHXbL7pnZeFOvkzx1AZFOK/085CDIrsYkFpOSLBLfRi8CWMQSVuiSa4hjFwlkaG4VpzhHW7gRHoVn4aUnHRL6nnl8C+HjE29rhFA=</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="kiJL5SMmEAmIoBmohq0j7ri9wWg=">AAACQHichVC7SgNBFD0bXzE+ErURbIIhYhVmbRSroI1lHuYBSQi76yQO7ovdTSAGf0CwE1NYKfgj2vgDFvkDwUJEQbDyZrMgGtQ7MHPm3HO43KPaunA9xvpSaGx8YnIqPB2ZmZ2bj8YWFouu1XI0XtAs3XLKquJyXZi84AlP52Xb4Yqh6rykHu0O+qU2d1xhmftex+Y1Q2maoiE0xSMqXzVb9ViCpZhf8VEgByCBoDJW7BxVHMCChhYMcJjwCOtQ4NKpQAaDTVwNXeIcQsLvc5wgQt4WqTgpFGKP6G7Sr0vYIo1F+r9UCk0cTOnQq5IyjiS369HT5fz7vy6DXg+HX65fHRViPTSw5e8gaEPbZwa7akN/+7j3mt/OJbtr7Jo9sQd2xfrsjt0zs/2m3WR57hIRilb+GeQoKG6kZJaSsyyR3glCDmMFq1inJDeRxh4yKNDcJs5wgZ50Kz1Kz9LLUBqSAs8SvpX08QllRoKD</latexit>

は 0.008 の誤差まで測定可能.⌫<latexit sha1_base64="YLQMcGDP01eglVIyzs3u5cgN94M=">AAACQHichVC7SgNRED3rM66PRG0Em2CIWIW7NoogBm0s8zAPSELYXW/ikn2xuwnEIFgLdmIKKwV/RAv9AYv8gWAhoiBYOdkERIM6A3fOPXMOw4xi65rrMdYRhoZHRsfGAxPi5NT0TDA0O5d1rbqj8oxq6ZaTV2SX65rJM57m6TxvO1w2FJ3nlNpOt59rcMfVLHPPa9q8ZMhVU6toquwRlS6a9XIowmLMj/AgkPogsnUnbh4DSFihMxSxDwsq6jDAYcIjrEOGS1mABAabuBJaxDmENL/PcQSRvHVScVLIxNbordKvRdgijUX6v1QyTexOaVJVSBlGlNvl4MlC+v1fl0HVw8GX61dHgVgPFaz7O2i0oe0z3V3Vnr9x2H5Nb6SirWV2xZ7YA7tkHXbL7pnZeFOvkzx1AZFOK/085CDIrsYkFpOSLBLfRi8CWMQSVuiSa4hjFwlkaG4VpzhHW7gRHoVn4aUnHRL6nnl8C+HjE29rhFA=</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="w4ebG2Lseu7uEr8ISuqHyNeo0ew=">AAACQHichVC7SgNRED0bX3F9JGoj2ARDxCrctVEEMWhjmYd5QBLC7noTl+yL3U0gBn9AsBNTWKn4I1roD4jkDwQLEQXByskDRIM6A3fOPXMOw4xi65rrMdYWfEPDI6Nj/nFxYnJqOhCcmc24Vs1ReVq1dMvJKbLLdc3kaU/zdJ6zHS4bis6zSnW708/WueNqlrnrNWxeNOSKqZU1VfaIShXMWikYZlHWjdAgkPogvHkrbtiXD2LcCp6ggD1YUFGDAQ4THmEdMlzKPCQw2MQV0STOIaR1+xyHEMlbIxUnhUxsld4K/ZqELdJYpP9LJdPEzpQGVYWUIUS4XQoczafe/3UZVD3sf7l+deSJ9VDGWncHjTa0u0xnV7Xnrx+0XlPryUhziV2wJ3bPzlmb3bA7Ztbf1KsET55BpNNKPw85CDIrUYlFpQQLx7bQCz8WsIhluuQqYthBHGmaW8ExTtESroVH4Vl46Ul9Qt8zh28hfHwC3fKFxA==</latexit><latexit sha1_base64="kiJL5SMmEAmIoBmohq0j7ri9wWg=">AAACQHichVC7SgNBFD0bXzE+ErURbIIhYhVmbRSroI1lHuYBSQi76yQO7ovdTSAGf0CwE1NYKfgj2vgDFvkDwUJEQbDyZrMgGtQ7MHPm3HO43KPaunA9xvpSaGx8YnIqPB2ZmZ2bj8YWFouu1XI0XtAs3XLKquJyXZi84AlP52Xb4Yqh6rykHu0O+qU2d1xhmftex+Y1Q2maoiE0xSMqXzVb9ViCpZhf8VEgByCBoDJW7BxVHMCChhYMcJjwCOtQ4NKpQAaDTVwNXeIcQsLvc5wgQt4WqTgpFGKP6G7Sr0vYIo1F+r9UCk0cTOnQq5IyjiS369HT5fz7vy6DXg+HX65fHRViPTSw5e8gaEPbZwa7akN/+7j3mt/OJbtr7Jo9sQd2xfrsjt0zs/2m3WR57hIRilb+GeQoKG6kZJaSsyyR3glCDmMFq1inJDeRxh4yKNDcJs5wgZ50Kz1Kz9LLUBqSAs8SvpX08QllRoKD</latexit>

preliminary preliminary

Page 17: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

Horndeski 理論

l 2階微分までで最も一般的なスカラーテンソル理論

Horndeski 1974Deffayet, Gao, Steer, and Zahariade 2011Kobayashi, Yamaguchi, Yokoyama 2011

l 1種類のスカラー場の自由度 � X = �rµ�rµ�/2

G2(K), G3, G4, G5l 4つのスカラー場の任意関数

S =

Zdx4p�g

5X

i=2

Li + Lm

!

<latexit sha1_base64="4gNhAS8QuKYNl5z9bx7y7Wb514U=">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</latexit><latexit sha1_base64="WuRTZ2+VspT1XRcsxMp4UjS1aLM=">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</latexit><latexit sha1_base64="WuRTZ2+VspT1XRcsxMp4UjS1aLM=">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</latexit><latexit sha1_base64="Dz7vsdr7hegF0iYUryo1fVI1OGM=">AAACkHichVBNSxxBEH2O0ehqdNWLkEvjohjEpUciiiB+5BLEg+tmVXB0mBl718b5cqZ3UYf5A56FHHJKIL8hP8CLf8CDB6968KjgNbXrgqio1dD16tV7FFV26MpYcX7RorV+aGv/2NGZ6er+1NOb7etfi4Nq5IiSE7hBtGFbsXClL0pKKldshJGwPNsV6/bet3p/vSaiWAb+D3UYii3PqviyLB1LEWVmC8VZQ/qK7Rxsf2VGvB+pZLySMsMVZTVKRNUzEzk7kW4nkylLDMdy2XJqSjb2WCRG5DGPPJGs7KovZjbH87wR7CXQmyCHZqwE2RMY2EEAB1V4EPChCLuwENPbhA6OkLgtJMRFhGSjL5AiQ94qqQQpLGL36K9QlRAOSBOQ/i2VRRPrUw4p26RkGBah2Xs8WLx/1+VRVth9dL3q2CRWoYzpxg6SNgwbTH1X58FfO/p5W5xZHU5G+B9+w8/5b37BT/kZ92t3zt+CWP2FDJ1Wf37Il2BtIq/zvF7gufnF5pE78BlDGKVLTmEe37GCEs39h0tc4Vrr16a1OW3hQaq1ND0DeBLa0n/IppwM</latexit>

Page 18: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

モデルの分類

log |2�g|

log|⌫|

Arai & Nishizawa 2018

Page 19: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

モデルの分類

log |2�g|

log|⌫|

Arai & Nishizawa 2018

Page 20: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

モデルの分類

log |2�g|

log|⌫|

Arai & Nishizawa 2018

excluded excluded excluded excluded

Page 21: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

振幅減衰率からの制限

= ⌫<latexit sha1_base64="I2Pdq4K1rxnVe4bY9aERUrF/M/o=">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</latexit><latexit sha1_base64="DjwhXhr7mX+3bJbGGBruUxkZDR8=">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</latexit><latexit sha1_base64="DjwhXhr7mX+3bJbGGBruUxkZDR8=">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</latexit><latexit sha1_base64="pxZU1AZu4NvlKlE1ojhZzjOrba4=">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</latexit>

重力波観測で まで制限できれば、のモデルをほぼ棄却できる.

�⌫ ⇠ O(0.01)<latexit sha1_base64="lZsz8XmkdpQrAKL96wX5HB8bmd0=">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</latexit><latexit sha1_base64="vLvna9qiRX/FPZqhyREgs6JAVNM=">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</latexit><latexit sha1_base64="vLvna9qiRX/FPZqhyREgs6JAVNM=">AAACXXichVC7SgNBFD1Z3/EVtVAQZIkoihBmbRSroBZ2JtEYwZUwu446uC92J4EY7KysAxZWCja2+gc2/oBFKj/AUsHWm0QQFfUOzD1z5hwu91iBIyPFWD2mtbV3dHZ198R7+/oHBhNDw1uRXwptkbd9xw+3LR4JR3oir6RyxHYQCu5ajihYRyuN/0JZhJH0vU1VCcSuyw88uS9trogqJibMVeEorpteSTcj6epV0+aOvn4yw1LMmC0mJqk3S/8JjA8wmU6ac7V6upLxEzWY2IMPGyW4EPCgCDvgiOjswABDQNwuqsSFhGTzX+AEcfKWSCVIwYk9ovuAXlXCPml80v+l4jSxMaVC3SKljikRFAfPxjbe/nW51BUOP12/OnaIVdjHYnMHSRsGTaaxq93yl4/PXzaWclPVaXbFntkju2R1ds8emFd+ta+zIneBOEVrfA/yJ9iaTxksZWQp42W0qhvjSGKGklxAGmvIIE9zT3GDW9zFnrQOrU8baEm12IdnBF9KG30HioeLIw==</latexit><latexit sha1_base64="3706PZ76H/Vtx2wqQD2HUWwX8bg=">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</latexit>

Gmatter 6= Glight<latexit sha1_base64="W9cnx/At2/dxCCSMUAiv7XcPgWs=">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</latexit><latexit sha1_base64="q++RyrERoZ2BqJLcUpRa/UGOs3c=">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</latexit><latexit sha1_base64="q++RyrERoZ2BqJLcUpRa/UGOs3c=">AAACYHichVC7SgNBFD1ZXzFRE7URbVZjxCrM2ihWooWWvmICSQi765gM7svdSUBDasFasLBSsLTVD7DxByxsbS19td48QDSod2DmzLnncLnH8CwRSMYeQ0pXd09vX7g/Eh0YHIrFh0d2ArfimzxtupbrZw094JZweFoKafGs53PdNiyeMfZXGv1MlfuBcJ1teejxgq2XHLEnTF0SVYxPrhZred9WbV1K7tfVvMMP1DZniVJZ1ovxBEuxZqmdQGuDxNL0281dNfq+7sZPkccuXJiowAaHA0nYgo6ATg4aGDziCqgR5xMSzT5HHRHyVkjFSaETu093iX41wi5pXNL/pdJpYmPKIb0GKVUkuVeMnYxtffzrsumVKH+5fnXkiJXYw0JzB0Ebek2msavZ8lePzl62FjeTtRl2yZ7ZA7tgj+yO3TOn+mpebfDNc0QoWu1nkJ1gZy6lsZS2QRkvo1VhTGAKs5TkPJawhnWkae4xrnGD29CTElZiynBLqoTanlF8K2X8E59Tj2U=</latexit><latexit sha1_base64="Imec60T6KZ3NB3IUPEZ49MJ6s/Q=">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</latexit>

月のレーザー測距や連星パルサーからの制限

L = G2(�, X)�G3(�, X)⇤�+G4(�)R<latexit sha1_base64="84+OEcRljXkyLnN0xcrOXSRXlKo=">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</latexit><latexit sha1_base64="KBDp8Y3lXoiFE8xFEe1IEVzGfVU=">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</latexit><latexit sha1_base64="KBDp8Y3lXoiFE8xFEe1IEVzGfVU=">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</latexit><latexit sha1_base64="4h54gUipWNWBn3IKFQjIj3xQLU4=">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</latexit>

Nishizawa & Arai, in prep.

GN/GN . 0.02H0<latexit sha1_base64="ggNAuoSBclrnDzvq5OG4nA01P6k=">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</latexit><latexit sha1_base64="W5Fm/lSeP3Gtky8BXYmJOyWpJ3g=">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</latexit><latexit sha1_base64="W5Fm/lSeP3Gtky8BXYmJOyWpJ3g=">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</latexit><latexit sha1_base64="T+zu8fFAwC4CaNalJkO+En7Jk8o=">AAACbXichVC7SsRQED0b3+trVQRBkeDio5D1ZhvFSrTQSnytCkZCEq962SQ3JHcXNOwPWAsWVgr+hK0W/oCF32BhoWDr7LoiKupcuHPmzDkMM07oiVgx9pDSGhqbmlta29LtHZ1d3Zme3s1YliKXF1zpyWjbsWPuiYAXlFAe3w4jbvuOx7ec4kK1v1XmUSxksKGOQr7r2weB2BeurYiyMjlzT6pksWIlZuTry5WpxQ+kmx6P41j4OsuxvDmpL1lMtzJZqmqh/wRGHWRRjxWZOYWJPUi4KMEHRwBF2IONmN4ODDCExO0iIS4iJGp9jgrS5C2RipPCJrZI/wFVCWFJGkn6v1Q2TaxOOaLskFLHKA+t7pOB9dd/XT5lhcNP16+OHWIV9jFT20HQhmGNqe7qvvvLx2fP67Nro8kYu2SP7J5dsAd2w+5YUH5xr1b52jnSdFrj+yF/gs18zmA5Y5Vl5+brR27FIEYwQZecxhyWsIICzT3FNW5wm3rS+rUhbfhdqqXqnj58CW38DVdvjno=</latexit>

Page 22: DECIGOによる宇宙論的距離 での重力理論の検証 · 1. 動的かつ宇宙論的距離スケールでの重力場を検証できる. 2. 重力理論の微小な修正効果であっても、長距離伝播する

まとめ

l 宇宙論的距離における等価原理は実験的にあまり精度良く検証されていない. 宇宙加速膨張を説明する重力理論の検証のために非常に重要な検証事項.

l 重力波伝播により振幅減衰率 を測定することで、重力波に対する重力定数を測定することができる.

l の測定精度:

現在の検出器ネットワーク (aLIGO や KAGRA など)

将来の検出器 (ET-D, CE, B-DECIGO など)

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