Spherically symmetric density perturbation in relativistic cosmology.

Details Spherically symmetric density perturbation in relativistic cosmology. Spherically symmetric density perturbation in relativistic cosmology.

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jmp....32.2279l&link_type=abstract

Journal of Mathematical Physics, Vol. 32, No. 8, p. 2279 - 2282

Mathematics

Mathematical Physics

1

Scientific paper

Einstein's field equations for spherically symmetric perfect fluids are reduced to two equations plus three definitions, and from these the spherical density perturbation equation is derived. It is found that this perturbation equation can be separated into two equations by the method of separation of variables and can be solved explicitly in some special cases. An interesting result is that for matter-dominated era the perturbation equation is found to be of the Bonnor form of Newtonian theory.

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