TY - JOUR

T1 - Tests of general relativity using multiband observations of intermediate mass binary black hole mergers

AU - Datta, Sayantani

AU - Gupta, Anuradha

AU - Kastha, Shilpa

AU - Arun, K. G.

AU - Sathyaprakash, B. S.

N1 - Funding Information: We thank Emanuele Berti, Ssohrab Borhanian, Arnab Dhani, Muhammed Saleem, and especially Ajit Mehta for useful discussions and comments. B. S. S. is supported in part by NSF Grants No. PHY-1836779, No. AST-1716394, and No. AST-1708146. S. D. and K. G. A. also acknowledge partial support by Swarnajayanti Grant No. DST/SJF/PSA-01/2017-18 of DST-India. K. G. A. also acknowledges partial support by SERB Grant No. EMR/2016/005594 and a grant from the Infosys Foundation. This document has LIGO preprint No. P2000209 .

PY - 2021/1/20

Y1 - 2021/1/20

N2 - Observation of gravitational waves (GWs) in two different frequency bands is referred to as multiband GW astronomy. With the planned Laser Interferometric Space Antenna (LISA) operating in the 10(-4)-0.1 Hz range, and third-generation (3G) ground-based detectors such as the Cosmic Explorer (CE) and Einstein Telescope (ET) operating in the 1-10(4) Hz range, multiband GWastronomy could be a reality in the coming decades. In this paper, we present the potential of multiband observations of intermediate-mass binary black holes (IMBBHs) of component masses similar to 10(2)-10(3) M-circle dot to test general relativity (GR). We show that mutiband observations of IMBBHs would permit multiparameter tests of GR-tests where more than one post-Newtonian (PN) coefficient is simultaneously measured-yielding more rigorous constraints on possible modifications to GR. We also find that the improvement due to multibanding can often be much larger than the best of the bounds from either of the two observatories. The origin of this result, as we shall demonstrate, can be traced to the lifting of degeneracies among the various parameters when the information from LISA and 3G is taken together. Abinary of redshifted total mass of 200 M-circle dot gives the best bounds. Such a system at 1 Gpc and mass ratio m(1)/m (2) = 2 would bound the deviations on all the PN coefficients to below 10 and additionally place simultaneous bounds on the first seven PNcoefficients to below 50%.

AB - Observation of gravitational waves (GWs) in two different frequency bands is referred to as multiband GW astronomy. With the planned Laser Interferometric Space Antenna (LISA) operating in the 10(-4)-0.1 Hz range, and third-generation (3G) ground-based detectors such as the Cosmic Explorer (CE) and Einstein Telescope (ET) operating in the 1-10(4) Hz range, multiband GWastronomy could be a reality in the coming decades. In this paper, we present the potential of multiband observations of intermediate-mass binary black holes (IMBBHs) of component masses similar to 10(2)-10(3) M-circle dot to test general relativity (GR). We show that mutiband observations of IMBBHs would permit multiparameter tests of GR-tests where more than one post-Newtonian (PN) coefficient is simultaneously measured-yielding more rigorous constraints on possible modifications to GR. We also find that the improvement due to multibanding can often be much larger than the best of the bounds from either of the two observatories. The origin of this result, as we shall demonstrate, can be traced to the lifting of degeneracies among the various parameters when the information from LISA and 3G is taken together. Abinary of redshifted total mass of 200 M-circle dot gives the best bounds. Such a system at 1 Gpc and mass ratio m(1)/m (2) = 2 would bound the deviations on all the PN coefficients to below 10 and additionally place simultaneous bounds on the first seven PNcoefficients to below 50%.

UR - http://www.scopus.com/inward/record.url?scp=85100305013&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2006.12137

DO - 10.48550/arXiv.2006.12137

M3 - Article

VL - 103

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 2

M1 - 024036

ER -