Anisotropic spheres in general relativity

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Anisotropy, Einstein Equations, Relativistic Theory, Rotating Spheres, Roots Of Equations, Schwarzschild Metric

Scientific paper

A prescription originally conceived for perfect fluids is extended to
the case of anisotropic pressures. The method is used to obtain exact
analytical solutions of the Einstein equations for spherically-symmetric
self-gravitating distribution of anisotropic matter. The solutions are
matched to the Schwarzschild exterior metric.

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