"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
1.2
Why gravity is more difficult in
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
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
References
Footnotes
Figures