On the question of the characteristics of the spatial distribution of metric inhomogeneities in a general solution to Einstein equations in the vicinity of a cosmological singularity

Details On the question of the characteristics of the spatial distribution of metric inhomogeneities in a general solution to Einstein equations in the vicinity of a cosmological singularity On the question of the characteristics of the spatial distribution of metric inhomogeneities in a general solution to Einstein equations in the vicinity of a cosmological singularity

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993zhetf.103..721k&link_type=abstract

Zhurnal Eksperimental'noj i Teoreticheskoj Fiziki (ISSN 0044-4510), vol. 103, no. 3, p. 721-729.

Mathematics

13

Einstein Equations, Gravitational Fields, Metric Space, Relativity, Spatial Distribution, Hamiltonian Functions, Inhomogeneity, Singularity (Mathematics)

Scientific paper

The paper is concerned with the effect of a stochastic oscillatory regime on the properties of large-scale metric inhomogeneities with a characteristic size that is much larger than the size of the horizon. The inhomogeneities are described using the canonical formalism, with four physically arbitrary functions isolated in explicit form. It is shown that, in the process of evolution, one of the functions, which has the meaning of an ADM Hamiltonian, remains constant, whereas the other three functions become arbitrary coordinate functions. A statistical description is obtained for the latter.

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