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

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

1999-12-21

arxiv.org/abs/gr-qc/9912088v1

Int.J.Mod.Phys. D8 (1999) 659-668

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1142/S0218271899000468

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., $\alpha
\neq 0$) is also a conformal Killing vector.

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