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

İ. Yılmaz; İ. Yavuz; H. Baysal; İ. Tarhan; U. Camcı

doi:10.1142/S0218271899000468

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

General Relativity and Quantum Cosmology 2016-08-15 v1

Authors: İ. Yılmaz , İ. Yavuz , H. Baysal , İ. Tarhan , U. Camcı

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

Keywords

curvature inheritance symmetry string cloud string fluid conformal Killing vector general relativity Riemannian spaces

Cite

@article{arxiv.gr-qc/9912088,
  title  = {Curvature Inheritance Symmetry In Riemannian Spaces with Applications to String Cloud and String Fluids},
  author = {İ. Yılmaz and İ. Yavuz and H. Baysal and İ. Tarhan and U. Camcı},
  journal= {arXiv preprint arXiv:gr-qc/9912088},
  year   = {2016}
}

Comments

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

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

Abstract

Keywords

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