Abstract
Using the Einstein field equations in the presence of a cosmological constant, the equations which describe the hydrostatic equilibrium of a static anisotropic fluid sphere are obtained inD (D≥4) space-time dimensions. With suitable transformations, the equation of mass-continuity and of hydrostatic equilibrium are given in a non-dimensional form. The formalism thus developed is used to study homogeneous charged fluid spheres in higher dimensions and for these configurations a complete solution is obtained.
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Harko, T. Static anisotropic fluid spheres inD space-time dimensions. Acta Physica Hungarica 73, 165–173 (1993). https://doi.org/10.1007/BF03055124
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DOI: https://doi.org/10.1007/BF03055124