Conformally flat, anisotropic spheres in general relativity

Details Conformally flat, anisotropic spheres in general relativity Conformally flat, anisotropic spheres in general relativity

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jpha...15.2419s&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 15, Aug. 1982, p. 2419-2427.

Astronomy and Astrophysics

Astrophysics

27

Anisotropic Media, Astrophysics, Relativity, Space-Time Functions, Spheres, Conformal Mapping, Einstein Equations, Ideal Fluids, Mass Distribution, Tensor Analysis

Scientific paper

Static, spherically symmetric, conformally flat interior solutions are examined. The Einstein field equations in the case of a static, spherically symmetric energy-momentum tensor and a conformally flat line element are examined, and the remaining freedom in the field equations is used to choose the functional form of the mass distribution. Four physically reasonable models of anisotropic fluids are developed and their properties compared with those of the conformally flat Schwarzschild tensor.

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