Conformal Ricci and Matter Collineations for Two Perfect Fluids
نویسنده
چکیده
Conformal Ricci and conformal matter collineations for the combination of two perfect fluids in General Relativity are investigated. We study the existence of timelike and spacelike conformal Ricci and matter collineations by introducing the kinematical and dynamical properties of such fluids and using the Einstein field equations. Some recent studies on conformal collineations are extended and new results are found. It is worth mentioning that we recover all the previous results a special cases.
منابع مشابه
Conformal Ricci and Matter Collineations for Anisotropic Fluid
We study the consequences of timelike and spaccelike conformal Ricci and conformal matter collineations for anisotropic fluid in the context of General Relativity. Necessary and sufficient conditions are derived for a spacetime with anisotropic fluid to admit conformal Ricci and conformal matter collineations parallel to u and x. These conditions for timelike and spacelike conformal Ricci and c...
متن کاملMatter Collineations of Some Static Spherically Symmetric Spacetimes
We derive matter collineations for some static spherically symmetric spacetimes and compare the results with Killing, Ricci and Curvature symmetries. We conclude that matter and Ricci collineations are not, in general, the same.
متن کامل2 Ju n 20 00 Symmetries of Bianchi I space - times
All diagonal proper Bianchi I space-times are determined which admit certain important symmetries. It is shown that for Homotheties, Conformal motions and Kinematic Self-Similarities the resulting space-times are defined explicitly in terms of a set of parameters whereas Affine Collineations, Ricci Collineations and Curvature Collineations, if they are admitted, they determine the metric modulo...
متن کاملSpherically Symmetric Static Spacetimes
In this paper we discuss matter inheritance collineations by giving a complete classification of spherically symmetric static spacetimes by their matter inheritance symmetries. It is shown that when the energy-momentum tensor is degenerate, most of the cases yield infinite dimensional matter inheriting symmetries. It is worth mentioning here that two cases provide finite dimensional matter inhe...
متن کاملLie symmetries of the energy-momentum tensor for plane symmetric static spacetimes
Matter collineations (MCs) are the vector fields along which the energymomentum tensor remains invariant under the Lie transport. Invariance of the metric, the Ricci and the Riemann tensors have been studied extensively and the vectors along which these tensors remain invariant are called Killing vectors (KVs), Ricci collineations (RCs) and curvature collineations (CCs), respectively. In this p...
متن کامل