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Relativistic anisotropic charged fluid spheres with varying cosmological constant

Saibal Ray·Sumana Bhadra·Anand S. Sengupta
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Abstract

Static spherically symmetric anisotropic source has been studied for the Einstein-Maxwell field equations assuming the erstwhile cosmological constant $ Λ$ to be a space-variable scalar, viz., $ Λ= Λ(r) $. Two cases have been examined out of which one reduces to isotropic sphere. The solutions thus obtained are shown to be electromagnetic in origin as a particular case. It is also shown that the generally used pure charge condition, viz., $ ρ+ p_r = 0 $ is not always required for constructing electromagnetic mass models.

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Saibal Ray, Sumana Bhadra, Anand S. Sengupta. 2003-10-31. Relativistic anisotropic charged fluid spheres with varying cosmological constant. https://doi.org/10.1007/s10509-008-9843-2

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