English

Reconsideration of the Regge-Wheeler equation

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

Reconsideration of the Regge-Wheeler equation is processed by using the Painlev\'{e} coordinate and "good" timelier to define the initial time. We find that: the Regge-Wheeler equation could has positive imaginary frequency. Because the Regge-Wheeler equation is the odd (angular) perturbation to the Schwarzschild black hole, the conclusion is that the Schwarzschild black hole is unstable with respect to the rotating perturbation.

Keywords

Cite

@article{arxiv.gr-qc/0509030,
  title  = {Reconsideration of the Regge-Wheeler equation},
  author = {Guihua Tian and Shikun Wang and Zhao Zheng},
  journal= {arXiv preprint arXiv:gr-qc/0509030},
  year   = {2007}
}