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.
Publié le : 2004-07-05
Classification:
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO],
[SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph],
[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]
@article{hal-00120280,
author = {Spallicci, Alessandro D. A. M. and Aoudia, Sofiane},
title = {Perturbation method in the assessment of radiation reaction in the capture of stars by black holes},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00120280}
}
Spallicci, Alessandro D. A. M.; Aoudia, Sofiane. Perturbation method in the assessment of radiation reaction in the capture of stars by black holes. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00120280/