Universal gravitational self-force for a point mass orbiting around a compact star
Abstract
In this work, we study the gravitational backreaction (i.e., the "self-force") of a point mass moving around a nonrotating, compact star on a circular orbit. We find that the additional self-force, comparing with the case with a point mass orbiting around a Schwarzschild black hole, can be well characterized by a universal frequency-dependent function multiplied by the (dynamical) tidal deformability of the compact star. This finding provides the foundation for building the waveform model for an extreme mass-ratio inspiral system around a starlike black hole mimicker, which is relevant for testing general relativity and exotic compact objects with space-borne gravitational-wave detectors.
- Publication:
-
Physical Review D
- Pub Date:
- August 2024
- DOI:
- 10.1103/PhysRevD.110.044066
- arXiv:
- arXiv:2406.02101
- Bibcode:
- 2024PhRvD.110d4066F
- Keywords:
-
- General relativity;
- alternative theories of gravity;
- General Relativity and Quantum Cosmology
- E-Print:
- 18 pages, 13 figures, 1 table, Comments are welcome