On curvature properties of Som-Raychaudhuri spacetime
Differential Geometry
2015-10-20 v1
Abstract
Som-Raychaudhuri spacetime is a stationary cylindrical symmetric solution of Einstein field equation corresponding to a charged dust distribution in rigid rotation. The main object of the present paper is to investigate the curvature restricted geometric structures admitting by the Som-Raychaudhuri spacetime and it is shown that such a spacetime is a 2-quasi-Einstein, generalized Roter type, manifold satisfying , , and its Ricci tensor is cyclic parallel and Riemann compatible. Finally, we make a comparison between G\"odel spacetime and Som-Raychaudhuri spacetime.
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Cite
@article{arxiv.1510.05062,
title = {On curvature properties of Som-Raychaudhuri spacetime},
author = {Absos Ali Shaikh and Haradhan Kundu},
journal= {arXiv preprint arXiv:1510.05062},
year = {2015}
}
Comments
The paper contained 14 pages