Stability of Squashed Kaluza-Klein Black Holes

Abstract

The stability of squashed Kaluza-Klein black holes is studied. The squashed Kaluza-Klein black hole looks like five dimensional black hole in the vicinity of horizon and four dimensional Minkowski spacetime with a circle at infinity. In this sense, squashed Kaluza-Klein black holes can be regarded as black holes in the Kaluza-Klein spacetimes. Using the symmetry of squashed Kaluza-Klein black holes, $SU(2)\times U(1)\simeq U(2)$, we obtain master equations for a part of the metric perturbations relevant to the stability. The analysis based on the master equations gives a strong evidence for the stability of squashed Kaluza-Klein black holes. Hence, the squashed Kaluza-Klein black holes deserve to be taken seriously as realistic black holes in the Kaluza-Klein spacetime.

23 pages, 4 figures, v2: Erratum added to end, v3: changed the figure in Erratum

References in corpus (18)

• Black Saturn
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Black diring and infinite nonuniqueness
• Stability of multidimensional black holes: complete numerical analysis
• A Rotating Kaluza-Klein Black Hole with Squashed Horizons
• Kaluza-Klein Multi-Black Holes in Five-Dimensional Einstein-Maxwell Theory
• Hawking radiation in a Rotating Kaluza-Klein Black Hole with Squashed Horizons
• A Note on Separability of Field Equations in Myers-Perry Spacetimes
• Dilaton black holes with squashed horizons and their thermodynamics
• Mass and Thermodynamics of Kaluza-Klein Black Holes with Squashed Horizons
• Topology Change of Coalescing Black Holes on Eguchi-Hanson Space
• Hawking Radiation from Squashed Kaluza-Klein Black Holes -- A Window to Extra Dimensions --
• Kaluza-Klein black holes with squashed horizons and $d=4$ superposed monopoles
• Cosmological Black Holes on Taub-NUT space in Five-Dimensional Einstein-Maxwell Theory
• Mass and Free energy in Thermodynamics of Squashed Kaluza-Klein Black Holes
• Coalescence of Rotating Black Holes on Eguchi-Hanson Space
• Nonlinear perturbations of the Kaluza-Klein monopole
• A note on Klein-Gordon equation in a generalized Kaluza-Klein monopole background

Cited by in corpus (28)

• Primordial Black Holes
• Quasinormal modes of test fields around regular black holes
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Einstein-Maxwell-Dilaton theories with a Liouville potential
• Gravitational stability of simply rotating Myers-Perry black holes: tensorial perturbations
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Stability of Lovelock Black Holes under Tensor Perturbations
• Looking at the Gregory-Laflamme instability through quasi-normal modes
• Instability of Small Lovelock Black Holes in Even-dimensions
• Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory
• Hawking radiation as tunneling from squashed Kaluza-Klein black hole
• Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
• Quasinormal modes and stability of a five-dimensional dilatonic black hole
• A simple test for stability of black hole by $S$-deformation
• From black strings to black holes: nuttier and squashed AdS${}_5$ solutions
• Multioscillating black holes
• Stability analysis of black holes by the $S$-deformation method for coupled systems
• Superradiant instability of black resonators and geons
• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Thermodynamics of five-dimensional static three-charge STU black holes with squashed horizons
• Stability analysis of Squashed Kaluza-Klein Black Holes with Charge
• Massive fields affected by echoes: New physics vs. astrophysical environment
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• New forms and thermodynamics of the neutral rotating squashed black hole in five-dimensional vacuum Einstein gravity theory
• Static four-charge squashed black hole in five-dimensional $STU-W^{2}U$ supergravity and its thermodynamics
• New Lorentzian Taub-NUT and Euclidean Eguchi-Hanson Solutions in $f(R)$ gravity