A new distributional approach to signature change

DOI10.1023/A:1001991609020zbMath0968.83031OpenAlexW110624753MaRDI QIDQ1585781

Reza Mansouri, Kourosh Nozari

Publication date: 13 September 2001

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1001991609020

zbMATH Keywords

general relativitysingular hypersurfacesColombeau's generalized functions

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (8)

The methods of gluing manifolds in general relativity ⋮ Isochronous solutions of Einstein’s equations and their Newtonian limit ⋮ JUNCTION CONDITIONS FOR NULL BOUNDARIES IN ADMISSIBLE COORDINATES ⋮ Note on signature change and Colombeau theory ⋮ New junction conditions for signature change: null boundary proposal ⋮ Isochronous spacetimes ⋮ Dynamics of null hypersurfaces in general relativity ⋮ Generalized pseudo-Riemannian geometry

Cites Work

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• Generalized functions. Theory and technique
• Particle production from signature change
• Selection rules for topology change
• Covariant change of signature in classical relativity
• Signature type change and absolute time in general relativity
• Quantum topology and quantisation on the lattice of topologies
• Signature dynamics in general relativity
• On cosmological isotropy, quantum cosmology and the Weyl curvature hypothesis
• Cylindrically symmetric thin walls in general relativity
• Einstein’s equations in the presence of signature change
• The equivalence of Darmois-Israel and distributional method for thin shells in general relativity
• Black holes, cosmological singularities and change of signature
• Generalized functions and distributional curvature of cosmic strings
• Wave function of the Universe
• The Large Scale Structure of Space-Time
• Topology change in classical and quantum gravity

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