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Anisotropic spheres in general relativity

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Abstract

A prescription originally conceived for perfect fluids is extended to the case of anisotropic pressure. 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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Rago, H. Anisotropic spheres in general relativity. Astrophys Space Sci 183, 333–338 (1991). https://doi.org/10.1007/BF00637730

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  • DOI: https://doi.org/10.1007/BF00637730

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