Charged sphere of shear-free fluids with partial/ρ partial r ≤ 0

Details Charged sphere of shear-free fluids with partial/ρ partial r ≤ 0 Charged sphere of shear-free fluids with partial/ρ partial r ≤ 0

Nov 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37.1911g&link_type=abstract

General Relativity and Gravitation, Volume 37, Issue 11, pp.1911-1918

Physics

2

Charged Sphere, Pressure Gradient

Scientific paper

The Einstein-Maxwell equations for non-static charged shear-free spherically symmetric perfect fluid distribution reduce to a second-order non-linear differential equation in the radial parameter. Several solutions of this equation have been obtained in earlier work without considering the general requirement for physical relevance of the solutions. Generally physically acceptable relativistic fluid models demand that the solutions satisfy the reality conditions ρ ≥ 0, p ≥ 0, ρ r ≤ 0, etc. throughout the fluid model. In this article the expression for density gradient ρ x (or ρ r ) has been utilized to produce charged shear-free relativistic fluid models with non-positive density gradient (NDG)ρ r ≤ 0. Eventually, we have found that none of the Riccati solutions have NDG including Vaidya metric. Also, the solutions with NDG neither possess Lie-symmetries nor Painlevé property. Further, it is observed that the solutions with NDG have no uncharged analogue.

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