Spherically symmetric perturbation of the metric of an expanding universe

Details Spherically symmetric perturbation of the metric of an expanding universe Spherically symmetric perturbation of the metric of an expanding universe

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976anihp..24..165p&link_type=abstract

Institut Henri Poincare, Annales, Section A - Physique Theorique, vol. 24, Feb. 16-Mar. 31, 1976, p. 165-170. In French.

Mathematics

5

Cosmology, Einstein Equations, Metric Space, Perturbation Theory, Astronomical Models, Gravitational Fields, Ideal Fluids, Relativity, Schwarzschild Metric, Singularity (Mathematics), Universe

Scientific paper

The paper considers the cosmological problem (in the framework of the Einstein equations) of the spherically symmetric perturbation of the metric of a homogeneous isotropic expanding universe. The interior and exterior solution of Schwarzschild is considered and compared with the unperturbed solution. A perturbed solution is obtained for the case of a flat three-dimensional space using Tolman's solution (1934) for the gravitational field created by the spherically symmetric distribution of an ideal fluid with vanishing pressure.

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