TY - JOUR

T1 - Testing the multipole structure and conservative dynamics of compact binaries using gravitational wave observations

T2 - The spinning case

AU - Kastha, Shilpa

AU - Gupta, Anuradha

AU - Arun, K. G.

AU - Sathyaprakash, B. S.

AU - Van Den Broeck, Chris

N1 - Funding Information:
S. K. and K. G. A. thank B. Iyer, G. Date, A. Ghosh, and J. Hoque for several useful discussions and N. V. Krishnendu for cross-checking some of the calculations reported here. We thank B. Iyer for critical reading of the manuscript and providing useful comments. K. G. A., A. G., S. K., and B. S. S. acknowledge the support by the Indo-US Science and Technology Forum through the Indo-US Centre for the Exploration of Extreme Gravity , Grant No. IUSSTF/JC-029/2016. A. G. and B. S. S. are supported in part by NSF Grants No. PHY-1836779, No. AST-1716394, and No. AST-1708146. K. G. A. is partially supported by a grant from Infosys Foundation, the Grant No. EMR/2016/005594 of SERB and Swarnajayanti Fellowship Grant No. DST/SJF/PSA-01/2017-18. C. V. D. B. is supported by the research programme of the Netherlands Organisation for Scientific Research (NWO). Computing resources for this project were provided by the Pennsylvania State University. This document has LIGO preprint number LIGO-P1900136 .

PY - 2019/8/6

Y1 - 2019/8/6

N2 - In an earlier work [S. Kastha et al., Phys. Rev. D 98, 124033 (2018)PRVDAQ2470-001010.1103/PhysRevD.98.124033], we developed the parametrized multipolar gravitational wave phasing formula to test general relativity, for the nonspinning compact binaries in quasicircular orbit. In this paper, we extend the method and include the important effect of spins in the inspiral dynamics. Furthermore, we consider parametric scaling of post-Newtonian (PN) coefficients of the conserved energy for the compact binary, resulting in the parametrized phasing formula for nonprecessing spinning compact binaries in quasicircular orbit. We also compute the projected accuracies with which the second and third generation ground-based gravitational wave detector networks as well as the planned space-based detector LISA will be able to measure the multipole deformation parameters and the binding energy parameters. Based on different source configurations, we find that a network of third-generation detectors would have comparable ability to that of LISA in constraining the conservative and dissipative dynamics of the compact binary systems. This parametrized multipolar waveform would be extremely useful not only in deriving the first upper limits on any deviations of the multipole and the binding energy coefficients from general relativity using the gravitational wave detections, but also for science case studies of next generation gravitational wave detectors.

AB - In an earlier work [S. Kastha et al., Phys. Rev. D 98, 124033 (2018)PRVDAQ2470-001010.1103/PhysRevD.98.124033], we developed the parametrized multipolar gravitational wave phasing formula to test general relativity, for the nonspinning compact binaries in quasicircular orbit. In this paper, we extend the method and include the important effect of spins in the inspiral dynamics. Furthermore, we consider parametric scaling of post-Newtonian (PN) coefficients of the conserved energy for the compact binary, resulting in the parametrized phasing formula for nonprecessing spinning compact binaries in quasicircular orbit. We also compute the projected accuracies with which the second and third generation ground-based gravitational wave detector networks as well as the planned space-based detector LISA will be able to measure the multipole deformation parameters and the binding energy parameters. Based on different source configurations, we find that a network of third-generation detectors would have comparable ability to that of LISA in constraining the conservative and dissipative dynamics of the compact binary systems. This parametrized multipolar waveform would be extremely useful not only in deriving the first upper limits on any deviations of the multipole and the binding energy coefficients from general relativity using the gravitational wave detections, but also for science case studies of next generation gravitational wave detectors.

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U2 - 10.1103/PhysRevD.100.044007

DO - 10.1103/PhysRevD.100.044007

M3 - Article

AN - SCOPUS:85072174556

VL - 100

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 4

M1 - 044007

ER -