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Universal gravitational self-force for a point mass orbiting around a compact star

2024/06/04 by Xuefeng Feng, Huan Yang, Feng, Xuefeng +1
Physics and Astronomy · #Astro and Planetary Science #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2406.02101

openalex publication_date 2024/06/04 · openalex created_date 2024/06/08 · openalex updated_date 2026/07/28

Abstract

In this work, we study the gravitational back-reaction (i.e., the "self-force") of a point mass moving around a non-rotating, 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 an 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 star-like black hole mimicker, which is relevant for testing General Relativity and exotic compact objects with space-borne gravitational wave detectors.

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