Black Holes in Higher Dimensions

Abstract

We review black hole solutions of higher-dimensional vacuum gravity, and of higher-dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of Myers-Perry solutions, black rings, and solution-generating techniques. We discuss black hole solutions of maximal supergravity theories, including black holes in anti-de Sitter space. General results and open problems are discussed throughout.

76 pages, 14 figures; review article for Living Reviews in Relativity. v2: some improvements and refs added

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• Convergence of the Fefferman-Graham expansion and complex black hole anatomy
• Floating Black Hole in the Karch-Randall Model and its Holographic Dual
• Twistor Construction of Higher-Dimensional Black Holes - Part II: Examples
• Schwarzschild black hole levitating in the hyperextreme Kerr field
• General off-diagonal integrability of metric and nonmetric geometric flow and Finsler-Lagrange-Hamilton modified Einstein equations
• Ergoregion instability in bosonic stars: scalar mode structure, universality, and weakly nonlinear effects
• Primordial black holes in Randall-Sundrum: Cosmological signatures
• Metric fluctuations in higher-dimensional black holes
• Black Lenses in Kaluza-Klein Matter
• Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D
• On double-black hole solutions of the Einstein-Maxwell-Dilaton theory in five dimensions
• Quasinormal Modes in Generalized Nariai Spacetimes
• Radiation Spectra and Effective Temperatures in Higher-Dimensional Charged-de Sitter Black Holes
• Spherically symmetric Riemannian manifolds of constant scalar curvature and their conformally flat representations
• Embolic aspects of black hole entropy
• Critical phenomena and information geometry in black hole physics
• Thin-shell wormholes in N-dimensional F(R) gravity
• A black hole solution of higher-dimensional Weyl-Yang-Kaluza-Klein theory
• Chaos in a generalized Euler's three-body problem
• Arising of trapped surfaces with non-trivial topology from colliding shock waves
• Spherical accretion onto higher-dimensional Reissner-Nordström Black Hole
• Generating Black Strings in Higher Dimensions
• Characterising the Most Rapidly Rotating AdS${}_5$-Kerr Black Holes
• Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$
• Gravitational two solitons in Levi-Civita spacetime
• On the Photon Motion Near a Five-Dimensional Schwarzschild Black Hole
• Bertotti-Robinson and soliton string solutions of $D=5$ minimal supergravity
• Microscopic primordial black holes as macroscopic dark matter from large extra dimensions
• Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum
• Non-supersymmetric F1-P black rings
• Properties of generalized Schwarzschild spacetimes with extra dimensions
• The Low Energy Limit of BFSS Quantum Mechanics
• Quasilocal non-equilibrium dynamics of Φ-spinning black rings
• Electric Multipole Fields of Higher-Dimensional Massive Bodies
• The Atmosphere of a Black Hole
• Extrinsic black hole uniqueness in pure Lovelock gravity
• Conformal Rigidity from Focusing
• Squashed black holes at large $D$
• Geometrical and hydrodynamic aspects of five-dimensional Schwarzschild black hole
• Charged and rotating Black AdS Branes in $n+p+2$ dimensions
• Higher-dimensional black holes with multiple equal rotations
• The Penrose Property with a Cosmological Constant