Curvature Inheritance Symmetry In Riemannian Spaces with Applications to String Cloud and String Fluids

Abstract

We study, in this paper, curvature inheritance symmetry (CI), ${\pounds }_{\xi }{R}_{bcd}^a=2\alpha R_{bcd}^a$, where $\alpha$ is a scalar function, for string cloud and string fluid in the context of general relativity. Also, we have obtained some result when a proper CI (i.e., $\alpha \ne 0$) is also a conformal Killing vector.

14 pages, Latex, no figures, to appear in the International Journal of Modern Physics D (IJMPD), Vol.8, No.5(Oct.,1999)