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

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

2003-09-07

arxiv.org/abs/gr-qc/0309039v2

Class.Quant.Grav. 21 (2004) S563-S572

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figures. Email: spallicci@obs-nice.fr To appear on Classical and Quantum Gravity March 2004

Scientific paper

10.1088/0264-9381/21/5/027

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.

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