Perturbation method in the assessment of radiation reaction in the capture of stars by black holes

Abstract

This work deals with the motion of a radially falling star in Schwarzschild geometry and correctly identifies radiation reaction terms by the perturbative method. The results are: i) identification of all terms up to first order in perturbations, second in trajectory deviation, and mixed terms including lowest order radiation reaction terms; ii) renormalisation of all divergent terms by the $\zeta$ Riemann and Hurwitz functions. The work implements a method previously identified by one of the authors and corrects some current misconceptions and results.

arXiv comment10 pages, no figures. Email: [email protected] To appear on Classical and Quantum Gravity March 2004

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Cited by in corpus (5)

• A fully relativistic radial fall
• Gauge dependence and self-force from Galilean to Einsteinian free fall, compact stars falling into black holes, Hawking radiation and the Pisa tower at the general relativity centennial
• Indirect (source-free) integration method. II. Self-force consistent radial fall
• A semi-relativistic approach to the circular restricted three body problem and a numerical experiment around the 3:2 resonance
• Free fall and self-force: an historical perspective