Stationary Black Holes: Uniqueness and Beyond

1998/05/08 by Markus Heusler · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.12942/lrr-1998-6

openalex publication_date 1998/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Abstract The spectrum of known black hole solutions to the stationary Einstein equations has increased in an unexpected way during the last decade. In particular, it has turned out that not all black hole equilibrium configurations are characterized by their mass, angular momentum and global charges. Moreover, the high degree of symmetry displayed by vacuum and electro-vacuum black hole space-times ceases to exist in self-gravitating non-linear field theories. This text aims to review some of the recent developments and to discuss them in the light of the uniqueness theorem for the Einstein-Maxwell system.

Citations

• The Flatter Regions of Newman, Unti, and Tamburino's Generalized Schwarzschild Space
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• A Method for Generating Solutions of Einstein's Equations
• Black holes in general relativity
• On the proof of the positive mass conjecture in general relativity
• On Massive Neutron Cores
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• Approche comparative de la conception des droits de l'homme, dans la philosophie occidentale et africaine
• Particle creation by black holes
• A new proof of the positive energy theorem
• The Highly Collapsed Configurations of a Stellar Mass
• On Continued Gravitational Contraction
• The Maximum Mass of Ideal White Dwarfs

Cited by

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• Perturbed stellar motions around the rotating black hole in Sgr A* for a generic orientation of its spin axis
• Post-conflict statebuilding and forced migration
• Theorems on Existence and Global Dynamics for the Einstein Equations
• General relativity [wikipedia]