Classical and quantum implications of the causality structure of two-dimensional space–times with degenerate metrics

DOI10.1063/1.531755zbMath0863.53067arXivgr-qc/9606065OpenAlexW2085404314MaRDI QIDQ5284672

Robin W. Tucker, Jonathan Gratus

Publication date: 28 May 1997

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9606065

zbMATH Keywords

Laplace equationsignature changetwo-dimensional spacetimedomain of dependence

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Applications of differential geometry to physics (53Z05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Space-time singularities, cosmic censorship, etc. (83C75) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (4)

CASIMIR EFFECT FOR A SPHERICAL SHELL IN DE SITTER SPACE–TIME WITH SIGNATURE CHANGE ⋮ CASIMIR STRESS ON PARALLEL PLATES IN DE SITTER SPACE WITH SIGNATURE CHANGE ⋮ Casimir effect for concentric spheres in de Sitter spacetime with signature change ⋮ Casimir effect in a two-dimensional signature changing space-time

Cites Work

• Particle production from signature change
• Non-existence of trouser-worlds
• Signature type change and absolute time in general relativity
• Change of signature in classical relativity
• Signature dynamics in general relativity
• Signature transitions in quantum cosmology
• Change of signature and topology in a five-dimensional cosmological model
• Smooth and discontinuous signature type change in general relativity
• Transverse, type changing, pseudo riemannian metrics and the extendability of geodesics
• Topology change and the propagation of massless fields
• Initial-value problems and signature change
• Domain of Dependence

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