General Dynamical Equations for Dingle's Space-Times Filled with a Charged Non-perfect Fluid

Details General Dynamical Equations for Dingle's Space-Times Filled with a Charged Non-perfect Fluid General Dynamical Equations for Dingle's Space-Times Filled with a Charged Non-perfect Fluid

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009ijtp...48.3510h&link_type=abstract

International Journal of Theoretical Physics, Volume 48, Issue 12, pp.3510-3516

Physics

Newman-Penrose Formalism, General Dynamical Equations, Energy-Momentum Scalar, Free Gravitational Energy

Scientific paper

In this paper we have assumed charged non-perfect fluid as the material content of the space-time. The expression for the “ mass function- M( r, y, z, t)” is obtained for the general situation and the contributions from the Ricci tensor in the form of material energy density ρ, pressure anisotropy [p2+p3/2-p1] , electromagnetic field energy ℰ and the conformal Weyl tensor, viz. energy density of the free gravitational field ɛ (=-3Ψ2/4π) are made explicit. This work is an extension of the work obtained earlier by Rao and Hasmani (Math. Today XIIA:71, 1993; New Directions in Relativity and Cosmology, Hadronic Press, Nonantum, 1997) for deriving general dynamical equations for Dingle’s space-times described by this most general orthogonal metric, ds^2=exp(ν)dt^2-exp(λ)dr^2-exp(2α)dy^2-exp(2β)dz^2, where ν, λ, α and β are functions of all four space-time variables r, y, z and t.

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