Global properties of warped solutions in general relativity

DOI10.1006/aphy.1999.5923zbMath1010.83013arXivgr-qc/9807079OpenAlexW2086079829MaRDI QIDQ1808048

M. O. Katanaev, T. Klösch, Wolfgang Kummer

Publication date: 30 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9807079

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (17)

Scalar fields in multidimensional gravity. No-hair and other no-go theorems ⋮ SPIN-1 GRAVITATIONAL WAVES ⋮ Global solutions in gravity ⋮ \(S\)-curvature of doubly warped product of Finsler manifolds ⋮ On a class of Finsler metrics of quadratic Weyl curvature ⋮ Reissner–Nordstrøm–de Sitter manifold: photon sphere and maximal analytic extension ⋮ (2 + 1) BTZ black hole and multiply warped product spacetimes ⋮ Curvature in special base conformal warped products ⋮ What happens to Petrov classification, on horizons of axisymmetric dirty black holes ⋮ Two-dilaton theories in two dimensions from dimensional reduction ⋮ Unnamed Item ⋮ Nonexistence of \(\mathcal{PR} \)-semi-slant warped product submanifolds in paracosymplectic manifolds ⋮ Global structure of spherically symmetric solutions of Einstein's equations with an electromagnetic field ⋮ A general optimal inequality for warped product submanifolds in paracosymplectic manifolds ⋮ Complex Einstein-Finsler doubly twisted product metrics ⋮ Curvature of multiply warped products ⋮ On Doubly Twisted Product of Complex Finsler Manifolds

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• On the completeness of the black hole singularity in 2D dilaton theories
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• Complete integrability of two-dimensional gravity with dynamical torsion
• All universal coverings of two-dimensional gravity with torsion
• Black Hole Uniqueness Theorems
• Euclidean two-dimensional gravity with torsion
• Classical and quantum gravity in dimensions: I. A unifying approach

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