Abstract
We find a solution of the Einstein-Maxwell system of field equations for a class of accelerating, expanding and shearing spherically symmetric metrics. This solution depends on a particularansatz for the line element. The radial behaviour of the solution is fully specified while the temporal behaviour is given in terms of a quadrature. By setting the charge contribution to zero we regain an (uncharged) perfect fluid solution found previously with the equation of statep = μ + constant, which is a generalisation of a stiff equation of state. Our class of charged shearing solutions is characterised geometrically by a conformal Killing vector.
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Moodley, K., Maharaj, S.D. & Govinder, K.S. A charged spherically symmetric solution. Pramana - J Phys 61, 493–499 (2003). https://doi.org/10.1007/BF02705472
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DOI: https://doi.org/10.1007/BF02705472