Remarks on the size of apparent horizons

DOI10.1007/s11005-023-01739-yarXiv2308.03728MaRDI QIDQ6187133

Gregory J. Galloway

Publication date: 10 January 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.03728

zbMATH Keywords

stabilityinitial data setMOTS

Mathematics Subject Classification ID

Black holes (83C57) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

• Unnamed Item
• Existence, regularity, and properties of generalized apparent horizons
• Rigidity of area-minimizing two-spheres in three-manifolds
• The existence of a black hole due to condensation of matter
• A generalization of Hawking's black hole topology theorem to higher dimensions
• Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes
• The area of horizons and the trapped region
• Proof of the positive mass theorem. II
• Rigidity of marginally outer trapped \(2\)-spheres
• The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight
• Initial data rigidity results
• Some uniqueness results for dynamical horizons
• Some remarks on the size of bodies and black holes
• Geometric Relativity

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