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Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta

High Energy Physics - Theory 2008-12-18 v2 General Relativity and Quantum Cosmology

Abstract

We study the stability of five-dimensional Myers-Perry black holes with equal angular momenta which have an enlarged symmetry, U(2). Using this symmetry, we derive master equations for a part of metric perturbations which are relevant to the stability. Based on the master equations, we prove the stability of Myers-Perry black holes under these perturbations. Our result gives a strong evidence for the stability of Myers-Perry black holes with equal angular momenta.

Keywords

Cite

@article{arxiv.0803.1371,
  title  = {Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta},
  author = {Keiju Murata and Jiro Soda},
  journal= {arXiv preprint arXiv:0803.1371},
  year   = {2008}
}

Comments

22 pages, 3 figures