Multiparameter tests of general relativity using a principle component analysis with next-generation gravitational-wave detectors

Datta, Sayantani, Saleem, M., Arun, K. G. and Sathyaprakash, B. S. ORCID: https://orcid.org/0000-0003-3845-7586 2024. Multiparameter tests of general relativity using a principle component analysis with next-generation gravitational-wave detectors. Physical Review D (particles, fields, gravitation, and cosmology) 109 (4) , 044036. 10.1103/PhysRevD.109.044036

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Abstract

Principal component analysis (PCA) is an efficient tool to optimize multiparameter tests of general relativity (GR), wherein one looks for simultaneous deviations in multiple post-Newtonian phasing coefficients. This is accomplished by introducing non-GR deformation parameters in the phase evolution of the gravitational-wave templates used in the analysis. A PCA is performed to construct the “best-measured” linear combinations of the deformation parameters. This helps to set stringent limits on deviations from GR and to more readily detect possible beyond-GR physics. In this paper, we study the effectiveness of this method with the proposed next-generation gravitational-wave detectors, Cosmic Explorer (CE) and Einstein Telescope (ET). For compact binaries at a luminosity distance of 500 Mpc and the detector-frame total mass in the range 20 – 200 M ⊙ , CE can measure the most dominant linear combination with a 1 − σ uncertainty ∼ 0.1 % and the next two subdominant linear combinations with a 1 − σ uncertainty of ≤ 10 % . For a specific range of masses, constraints from ET are better by a factor of a few than CE. This improvement is because of the improved low frequency sensitivity of ET compared to CE (between 1–7 Hz). In addition, we explain the sensitivity of the PCA parameters to the different post-Newtonian deformation parameters and discuss their variation with total mass. We also discuss a criterion for quantifying the number of most dominant linear combinations that capture the information in the signal up to a threshold.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Publisher:	American Physical Society
ISSN:	2470-0010
Date of First Compliant Deposit:	21 March 2024
Date of Acceptance:	18 January 2024
Last Modified:	26 Mar 2024 10:00
URI:	https://orca.cardiff.ac.uk/id/eprint/167427

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