On the topology of black holes

DOI10.1007/BF02096748zbMath0776.53047OpenAlexW2073339005WikidataQ124862374 ScholiaQ124862374MaRDI QIDQ1208018

Gregory J. Galloway

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1007/bf02096748

zbMATH Keywords

energy conditionstatic body

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) General geometric structures on low-dimensional manifolds (57M50)

Related Items (17)

Scalar curvature deformation and mass rigidity for ALH manifolds with boundary ⋮ Quasi-local mass and the existence of horizons ⋮ \(U(N)\)-monopoles on black holes ⋮ Global and uniqueness properties of stationary and static spacetimes with outer trapped surfaces ⋮ Stationary black holes: Uniqueness and beyond ⋮ The Riemannian Penrose inequality for asymptotically flat manifolds with non-compact boundary ⋮ Static potentials and area minimizing hypersurfaces ⋮ Topological censorship and the topology of black holes ⋮ Reflections on the U(1) problem in general relativity ⋮ A note on the circle actions on Einstein manifolds ⋮ Static vacuum Einstein metrics on bounded domains ⋮ Gauss–Bonnet–Chern approach to the averaged Universe ⋮ Exact solutions with noncommutative symmetries in Einstein and gauge gravity ⋮ Least area tori and 3-manifolds of nonnegative scalar curvature ⋮ Reduction of the \(n\)-dimensional static vacuum Einstein equation and generalized Schwarzschild solutions ⋮ Mean-stable surfaces in static Einstein-Maxwell theory ⋮ Stationary black holes: uniqueness and beyond

Cites Work

• Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature
• The topology of asymptotically Euclidean static perfect fluid space-time
• Maximum principle for hypersurfaces
• A restriction on the topology of Cauchy surfaces in general relativity
• Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
• Singularities in nonsimply connected space–times
• The Large Scale Structure of Space-Time

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