"Stationary Black Holes: Uniqueness and Beyond"
by
Markus Heusler
Hide Subsections
Abstract
1
Introduction
1.1
General
1.2
Organization
2
Classification of Stationary Electrovac Black Hole Space-Times
2.1
Rigidity, staticity and circularity
2.2
The uniqueness theorems
2.3
Black holes with degenerate horizons
3
Beyond Einstein–Maxwell
3.1
Spherically symmetric black holes with hair
3.2
Static black holes without spherical symmetry
3.3
The Birkhoff theorem
3.4
The staticity problem
3.5
Rotating black holes with hair
4
Stationary Space-Times
4.1
Killing horizons
4.2
Reduction of the Einstein–Hilbert action
4.3
The coset structure of vacuum gravity
4.4
Stationary gauge fields
4.5
The stationary Einstein–Maxwell system
5
Applications of the Coset Structure
5.1
The Mazur identity
5.2
Mass formulae
5.3
The Israel–Wilson class
6
Stationary and Axisymmetric Space-Times
6.1
Integrability properties of Killing fields
6.2
Boundary value formulation
6.3
The Ernst equations
6.4
The uniqueness theorem for the Kerr–Newman solution
7
Conclusion
8
Acknowledgments
References
Footnotes
Figures
