Topology and Uniqueness of Higher Dimensional Black Holes

Abstract

We review recent results concerning general properties of higher dimensional black holes. The topics selected with particular focus are those concerning topology, symmetry, and uniqueness properties of asymptotically flat vacuum black holes in higher dimensional general relativity.

Invited review for Prog. Theor. Phys. Suppl, 41 pages, 4 figures, v2: references added

References in corpus (2)

• Black ring with two angular momenta
• Rigidity of marginally trapped surfaces and the topology of black holes

Cited by in corpus (25)

• Stationary Black Holes: Uniqueness and Beyond
• Black hole uniqueness theorems in higher dimensional spacetimes
• Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant
• Static spacetimes with/without black holes in dynamical Chern-Simons gravity
• Applied Holography of the AdS${}_5$-Kerr Spacetime
• Uniqueness of charged static asymptotically flat black holes in dynamical Chern-Simons gravity
• Dilatons and the Dynamical Collapse of Charged Scalar Field
• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• Complex scalar field in strictly stationary Einstein-Maxwell-axion-dilaton spacetime with negative cosmological constant
• Strictly static spacetimes and positive mass in the Einstein-Gauss-Bonnet theory
• Uniqueness of dilaton Melvin-Schwarzschild solution
• Domain Structure of Black Hole Space-Times with a Cosmological Constant
• Balancing Static Vacuum Black Holes with Signed Masses in 4 and 5 Dimensions
• 5-Dimensional Space-Periodic Solutions of the Static Vacuum Einstein Equations
• Mass angular momentum and charge inequalities for black holes in Einstein-Maxwell-axion-dilaton gravity
• Matter ouside a Static Higher-dimensional Black Hole
• Multipole Hair of Schwarzschild-Tangherlini Black Holes
• Static black holes and strictly static spacetimes in Einstein-Gauss-Bonnet gravity with gauge field
• The Angular Tension of Black Holes
• Uniqueness of dark matter magnetized static black hole spacetime
• On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole
• Can Dirac fermions Destroy Yang-Mills Black Hole?
• Stationary Vacuum Black Holes in 5 Dimensions
• Electric Multipole Fields of Higher-Dimensional Massive Bodies
• On uniqueness of static spacetime with conformal scalar in higher dimensions