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

2008/03/31 by Keiju Murata, Jiro Soda · 5 citations
Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Mathematical physics #Metric (unit) #Nonlinear Waves and Solitons #Physics #Stability (learning theory) #Symmetry (geometry) #gr-qc #hep-th

paper · pdf · doi:10.1143/ptp.120.561

published as Prog.Theor.Phys.120:561-579,2008 · 22 pages, 3 figures

openalex publication_date 2008/09/01 · arxiv created 2008/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 the metric perturbations that are relevant to the stability. Using the master equations, we prove the stability of Myers-Perry black holes under these perturbations. Our results provide evidence on the stability of Myers-Perry black holes with equal angular momenta.

Citations

• The general Kerr–de Sitter metrics in all dimensions

Cited by

• An instability of higher-dimensional rotating black holes
• Spinning exact solutions with Sasakian structure in Gauss-Bonnet-Maxwell gravity
• SEPARABILITY OF GRAVITATIONAL PERTURBATION IN GENERALIZED KERR–NUT–DE SITTER SPACE–TIME
• HIGHER DIMENSIONAL BLACK HOLES
• Instability of rotating black holes: large D analysis

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