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

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.

22 pages, 3 figures

References in corpus (3)

• A rotating black ring in five dimensions
• The General Kerr-de Sitter Metrics in All Dimensions
• Black ring with two angular momenta

Cited by in corpus (42)

• Quasinormal modes of black holes: from astrophysics to string theory
• Black holes, hidden symmetries, and complete integrability
• Numerical Methods for Finding Stationary Gravitational Solutions
• An instability of higher-dimensional rotating black holes
• Instability and new phases of higher-dimensional rotating black holes
• `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
• Bar-mode instability of rapidly spinning black hole in higher dimensions: Numerical simulation in general relativity
• Catastrophic Instability of Small Lovelock Black Holes
• Ultraspinning instability of rotating black holes
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• Instability of rotating black holes: large D analysis
• Stability of Lovelock Black Holes under Tensor Perturbations
• Quasinormal modes of asymptotically flat rotating black holes
• Instabilities of Kerr-AdS_5 x S^5 Spacetime
• Higher-dimensional numerical relativity: Formulation and code tests
• Instability of Small Lovelock Black Holes in Even-dimensions
• Closed conformal Killing-Yano tensor and uniqueness of generalized Kerr-NUT-de Sitter spacetime
• Ultraspinning instability: the missing link
• Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory
• Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
• Chaos and pole-skipping in a simply spinning plasma
• Instability of higher dimensional extreme black holes
• Graviton emission from simply rotating Kerr-de Sitter black holes: Transverse traceless tensor graviton modes
• Rotating 5D Black Holes: Interactions and deformations near extremality
• Non-Axisymmetric Instability of Rotating Black Holes in Higher Dimensions
• Geodesic motion in equal angular momenta Myers-Perry-AdS spacetimes
• Higher dimensional black holes
• Multioscillating black holes
• Superradiant instability of black resonators and geons
• Phase Transitions and Stability of Eguchi-Hanson-AdS Solitons
• Gregory-Laflamme encounters Superradiance
• Conformal weights in the Kerr/CFT correspondence
• Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters
• Instability in near-horizon geometries of even-dimensional Myers-Perry black holes
• Resolving the information loss paradox from the five-dimensional minimal supergravity black hole
• Spinning exact solutions with Sasakian structure in Gauss-Bonnet Maxwell gravity
• Pseudospectrum and (in)stability of black hole total transmission modes