Averaging Problem in General Relativity, Macroscopic Gravity and Using Einstein's Equations in Cosmology

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dc.creatorZalaletdinov, Roustam M.
dc.date1997-03-06
dc.date.accessioned2026-07-07T03:31:31Z
dc.date.available2026-07-07T03:31:31Z
dc.descriptionThe averaging problem in general relativity is briefly discussed. A new setting of the problem as that of macroscopic description of gravitation is proposed. A covariant space-time averaging procedure is described. The structure of the geometry of macroscopic space-time, which follows from averaging Cartan's structure equations, is described and the correlation tensors present in the theory are discussed. The macroscopic field equations (averaged Einstein's equations) derived in the framework of the approach are presented and their structure is analysed. The correspondence principle for macroscopic gravity is formulated and a definition of the stress-energy tensor for the macroscopic gravitational field is proposed. It is shown that the physical meaning of using Einstein's equations with a hydrodynamic stress-energy tensor in looking for cosmological models means neglecting all gravitational field correlations. The system of macroscopic gravity equations to be solved when the correlations are taken into consideration is given and described.
dc.description16 pages, RevTeX, submitted to Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/gr-qc/9703016
dc.identifierhttp://arxiv.org/abs/gr-qc/9703016
dc.identifierBull.Astron.Soc.India 25 (1997) 401-416
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35888
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleAveraging Problem in General Relativity, Macroscopic Gravity and Using Einstein's Equations in Cosmology
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