Approximate Symmetries in General Relativity

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dc.creatorZalaletdinov, Roustam
dc.date1999-12-07
dc.date.accessioned2026-07-07T03:33:45Z
dc.date.available2026-07-07T03:33:45Z
dc.descriptionThe problem of finding an appropriate geometrical/physical index for measuring a degree of inhomogeneity for a given space-time manifold is posed. Interrelations with the problem of understanding the gravitational/informational entropy are pointed out. An approach based on the notion of approximate symmetry is proposed. A number of related results on definitions of approximate symmetries known from literature are briefly reviewed with emphasis on their geometrical/physical content. A definition of a Killing-like symmetry is given and a classification theorem for all possible averaged space-times acquiring Killing-like symmetries upon averaging out a space-time with a homothetic Killing symmetry is proved.
dc.description15 pages, LaTeX, extended version (including a review on the subject) of the paper "Approximate Symmetries, Inhomogeneous Spaces and Gravitational Entropy", to appear in Proc. of the Second ICRA Network Workshop "The Chaotic Universe", eds. V. Gurzadyan and R. Ruffini (World Scientific, Singapore, 2000)
dc.identifierhttps://arxiv.org/abs/gr-qc/9912021
dc.identifierhttp://arxiv.org/abs/gr-qc/9912021
dc.identifierProc. of the 2nd ICRA Network Workshop "The Chaotic Universe", Rome-Pescara, February 1999, eds. V. Gurzadyan and R. Ruffini (World Scientific, Singapore, 2000), p. 619635
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36701
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleApproximate Symmetries in General Relativity
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