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A static axisymmetric anisotropic fluid solution in general relativity

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Abstract

Einstein's interior field equations in general relativity are considered when spacetime is static and axisymmetric and the energy-momentum tensor represents an anisotropic fluid. After imposing a set of simplifying assumptions a two-parameter solution is derived and its properties are discussed. The solution is found to be physically reasonable in a certain range of the parameters in which case the metric could represent a core of anisotropic matter.

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Haggag, S. A static axisymmetric anisotropic fluid solution in general relativity. Astrophys Space Sci 173, 47–51 (1990). https://doi.org/10.1007/BF00642561

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