Perfect fluid spheres in general relativity

Details Perfect fluid spheres in general relativity Perfect fluid spheres in general relativity

Jan 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15...65s&link_type=abstract

General Relativity and Gravitation, vol. 15, Jan. 1983, p. 65-77.

Mathematics

Logic

13

Cosmology, Equations Of State, Gravitational Collapse, Ideal Fluids, Relativity, Stellar Models, Gravitational Fields, Metric Space, Space-Time Functions, Spheres, Stellar Mass, Uniqueness

Scientific paper

Spherically symmetric perfect fluid distributions in general relativity have been investigated under the assumptions of (1) uniform expansion or contraction and (2) the validity of an equation of state of the form p = p(rho) with nonuniform density. An exact solution which is equivalent to a solution found earlier by Wyman (1946) is obtained, and it is shown that the solution is unique. The boundary conditions at the interface of fluid distribution and the exterior vacuum are discussed, and as a consequence the following theorem is established: uniform expansion or contraction of a perfect fluid sphere obeying an equation of state with nonuniform density is not admitted by the field equations. It is further shown that the Wyman metric is not suitable on physical grounds to represent a cosmological solution.

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