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

Alessandro D. A. M. Spallicci·Sofiane Aoudia
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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 $ζ$ 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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BibTeXRIS

Alessandro D. A. M. Spallicci, Sofiane Aoudia. 2003-12-17. Perturbation method in the assessment of radiation reaction in the capture of stars by black holes. https://doi.org/10.1088/0264-9381%2F21%2F5%2F027

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