@article {
author = {Mallick, S. and Zhao, P. and De, U. C.},
title = {Spacetimes admitting quasi-conformal curvature tensor},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {6},
pages = {1535-1546},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {The object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. At first we prove that a quasi-conformally flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein's field equation with cosmological constant is covariant constant. Next, we prove that if the perfect fluid pacetime with vanishing quasi-conformal curvature tensor obeys Einstein's field equation without cosmological constant, then the spacetime has constant energy density and isotropic pressure and the perfect fluid always behave as a cosmological constant and also such a spacetime is infinitesimally spatially isotropic relative to the unit timelike vector field $U$. Moreover, it is shown that in a purely electromagnetic distribution the spacetime with vanishing quasi-conformal curvature tensor is filled with radiation and extremely hot gases. We also study dust-like fluid spacetime with vanishing quasi-conformal curvature tensor. },
keywords = {Quasi-conformal curvature tensor,Einstein space,perfect fluid spacetime,Einstein's field equation,energy momentum tensor},
url = {http://bims.iranjournals.ir/article_908.html},
eprint = {http://bims.iranjournals.ir/article_908_ca47683e2d4c028ece8b6d5e9a07b102.pdf}
}