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

Understand

Principal Component Analysis (PCA) is an efficient tool to optimize the multiparameter tests of general relativity (GR) where one tests for simultaneous deviations in multiple post-Newtonian (PN) phasing coefficients by introducing fractional deformation parameters.

• We use PCA to construct the `best-measured' linear combinations of the PN deformation parameters from the data.
• This helps to set stringent limits on deviations from GR and 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).