Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
Keiju Murata, Jiro Soda
TL;DR
This paper proves the stability of five-dimensional Myers-Perry black holes with equal angular momenta by deriving and analyzing master equations for relevant metric perturbations, providing strong evidence for their stability.
Contribution
It introduces a method to analyze stability using symmetry-based master equations specifically for five-dimensional Myers-Perry black holes with equal angular momenta.
Findings
Proves stability under certain metric perturbations.
Derives master equations leveraging U(2) symmetry.
Supports the overall stability of these black holes.
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.
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