Living Reviews in Relativity

"Black Holes in Higher Dimensions"
by
Roberto Emparan and Harvey S. Reall  

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Abstract
1 Introduction
1.1 Why gravity is richer in d > 4
1.2 Why gravity is more difficult in d > 4
2 Scope and Organization of this Article
2.1 Scope
2.2 Organization
3 Basic Concepts and Solutions
3.1 Conserved charges
3.2 The Schwarzschild–Tangherlini solution and black p-branes
3.3 Stability of the static black hole
3.4 Gregory–Laflamme instability
4 Myers–Perry Solutions
4.1 Rotation in a single plane
4.2 General solution
4.3 Symmetries
4.4 Stability
5 Vacuum Solutions in Five Dimensions
5.1 Black rings
5.2 Stationary axisymmetric solutions with d − 3 rotational symmetries
5.3 Multiple-black-hole solutions
5.4 Stability
6 Vacuum Solutions in More Than Five Dimensions
6.1 Approximate solutions from curved thin branes
6.2 Phase diagram
6.3 Stability
7 Solutions with a Gauge Field
7.1 Introduction
7.2 Topologically-spherical black holes
7.3 Black rings with gauge fields
7.4 Solution-generating techniques
7.5 Multiple-black-hole solutions
8 General Results and Open Problems
8.1 Introduction
8.2 Black-hole topology
8.3 Uniqueness of static black holes
8.4 Stationary black holes
8.5 Supersymmetric black holes
8.6 Algebraic classification
8.7 Laws of black-hole mechanics
8.8 Hawking radiation and black-hole thermodynamics
8.9 Apparent and isolated horizons and critical phenomena
9 Solutions with a Cosmological Constant
9.1 Motivation
9.2 Schwarzschild-AdS
9.3 Stationary vacuum solutions
9.4 Gauged supergravity theories
9.5 Static charged solutions
9.6 Stationary charged solutions
10 Acknowledgments
Open References References
Footnotes
Figures