Remarks on the distributional Schwarzschild geometry

DOI10.1063/1.1448684zbMath1059.83007arXivgr-qc/0112047OpenAlexW2093496294WikidataQ56020678 ScholiaQ56020678MaRDI QIDQ4830753

J. Mark Heinzle, Roland Steinbauer

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0112047

Mathematics Subject Classification ID

Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Miscellaneous applications of functional analysis (46N99)

Related Items (7)

Curvature singularity of the distributional Bañados, Teitelboim, and Zanelli black hole geometry ⋮ The singularity theorems of general relativity and their low regularity extensions ⋮ Alternative entropies and consistent black hole thermodynamics ⋮ A point mass and continuous collapse to a point mass in general relativity ⋮ Weak second Bianchi identity for static, spherically symmetric spacetimes with timelike singularities ⋮ Can quantum particles cross a horizon? ⋮ Generalized pseudo-Riemannian geometry

Cites Work

• Generalized pseudo-Riemannian geometry
• Distributional curvature of time dependent cosmic strings
• Distributional geometry
• The energy-momentum tensor of a black hole, or what curves the Schwarzschild geometry?
• DISTRIBUTIONAL SOURCES IN GENERAL RELATIVITY: TWO POINT-LIKE EXAMPLES REVISITED
• Invariance of the distributional curvature of the cone under smooth diffeomorphisms
• Generalized functions and distributional curvature of cosmic strings

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