Higher dimensional black holes

Abstract

This article reviews black hole solutions of higher-dimensional General Relativity. The focus is on stationary vacuum solutions and recent work on instabilities of such solutions.

Contribution to the proceedings of "Relativity and Gravitation - 100 years after Einstein in Prague" (Prague, June 2012) and the 13th Marcel Grossmann Meeting (Stockholm, July 2012). v2: references added

References in corpus (17)

• A Higher Dimensional Stationary Rotating Black Hole Must be Axisymmetric
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
• Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
• Bicycling Black Rings
• An instability of higher-dimensional rotating black holes
• Black ring with two angular momenta
• Symmetries of Higher Dimensional Black Holes
• Gravitational instability of an extreme Kerr black hole
• Dynamics and Stability of Black Rings
• Black Holes at the LHC
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta
• Nonuniform black strings in various dimensions
• Stable non-uniform black strings below the critical dimension
• Black rings in more than five dimensions
• Perturbations of higher-dimensional spacetimes

Cited by in corpus (12)

• Classification of near-horizon geometries of extremal black holes
• Fate of Strong Cosmic Censorship Conjecture in Presence of Higher Spacetime Dimensions
• Hawking Radiation from Higher-Dimensional Black Holes
• Black ringoids: spinning balanced black objects in $d\ge 5$ dimensions -- the codimension-two case
• Interior volume of ($1+D$) dimensional Schwarzschild black hole
• Lecture Notes: Numerical Relativity in higher dimensional spacetimes
• Balancing a static black ring with a phantom scalar field
• Anti-Evaporation/Evaporation of $n$-dimensional Reissner-Nordström Black Hole
• $D=5$ static, charged black holes, strings and rings with resonant, scalar $Q$-hair
• Caged black hole with Maxwell charge
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$
• Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability