On the existence of Killing fields in smooth spacetimes with a compact Cauchy horizon

DOI10.1088/1361-6382/abc224zbMath1480.83140arXiv2006.08934OpenAlexW3134272115MaRDI QIDQ5163321

Ignacio Bustamante Bianchi, Martín Reiris Ithurralde

Publication date: 3 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08934

zbMATH Keywords

Killing fieldsCauchy horizonscosmological spacetimes

Mathematics Subject Classification ID

Relativistic cosmology (83F05) 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)

Related Items (max. 100)

Surface gravity of compact non-degenerate horizons under the dominant energy condition ⋮ Symmetries of vacuum spacetimes with a compact Cauchy horizon of constant nonzero surface gravity ⋮ Analyticity of quasinormal modes in the Kerr and Kerr-De Sitter spacetimes ⋮ Mathematical aspects of general relativity. Abstracts from the workshop held August 29 -- September 4, 2021 (hybrid meeting) ⋮ Extension of Killing vector fields beyond compact Cauchy horizons

Cites Work

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• Smoothness of compact horizons
• Symmetries of cosmological Cauchy horizons
• Strong cosmic censorship in vacuum space-times with compact, locally homogeneous Cauchy surfaces
• Symmetries of cosmological Cauchy horizons with non-closed orbits
• Area theorem and smoothness of compact Cauchy horizons
• Completeness of Cauchy horizon generators
• Symmetries of higher dimensional black holes
• Symmetries of cosmological Cauchy horizons with exceptional orbits
• Compact Null Hypersurfaces and Collapsing Riemannian Manifolds
• General Relativity

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