English

Second order perturbations of a Schwarzschild black hole

General Relativity and Quantum Cosmology 2010-04-06 v2 Astrophysics

Abstract

We study the even-parity =2\ell=2 perturbations of a Schwarzschild black hole to second order. The Einstein equations can be reduced to a single linear wave equation with a potential and a source term. The source term is quadratic in terms of the first order perturbations. This provides a formalism to address the validity of many first order calculations of interest in astrophysics.

Keywords

Cite

@article{arxiv.gr-qc/9510049,
  title  = {Second order perturbations of a Schwarzschild black hole},
  author = {Reinaldo Gleiser and Oscar Nicasio and Richard Price and Jorge Pullin},
  journal= {arXiv preprint arXiv:gr-qc/9510049},
  year   = {2010}
}

Comments

6 pages, RevTeX, no figures, major revision, including several changes in formulae and presentation