Spatial conformal flatness in homogeneous and inhomogeneous cosmologies

Details Spatial conformal flatness in homogeneous and inhomogeneous cosmologies Spatial conformal flatness in homogeneous and inhomogeneous cosmologies

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978jmp....19.1536s&link_type=abstract

Journal of Mathematical Physics, vol. 19, July 1978, p. 1536-1541. Research supported by the Northern Michigan University.

Mathematics

Mathematical Physics

7

Cosmology, Einstein Equations, Inhomogeneity, Spatial Distribution, Homogeneity, Relativity, Space-Time Functions

Scientific paper

A family of exact solutions to the Einstein-equations with a pressure-free matter source is described with reference to models of cosmological inhomogeneity. The solutions, formulated by Szekeres, possess a type of symmetry in which the three spaces orthogonal to the fluid flow are conformally flat. A theorem is thereby proved which restricts the possible inhomogeneous cosmologies with conformally flat 3-surfaces, and it is compared with spatially homogeneous models which admit such surfaces. Attention is given to the retention of spatial conformal flatness while the condition of spatial homogeneity is relaxed.

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