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On Weakly Z Symmetric Spacetimes

Uday Chand De
경북대학교 자연과학대학 수학과|2018.12|Kyungpook Mathematical Journal|제58권 제4호|pp. 761-779

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참고문헌

키워드

Robertson-Walker spacetimeweakly Z symmetric manifoldsweakly Z symmetric spacetimesdust fluid and viscous fluid spacetimesWeyl conformal curvature tensor
주제분류수학

초록

The object of the present paper is to study weakly Z symmetric spacetimes (WZS)4. At rst we prove that a weakly Z symmetric spacetime is a quasi-Einstein spacetime and hence a perfect uid spacetime. Next, we consider conformally at (WZS)4 spacetimes and prove that such a spacetime is in nitesimally spatially isotropic relative to the unit timelike vector field. We also study (WZS)4 spacetimes with divergence free conformal curvature tensor. Moreover, we characterize dust uid and viscous uid (WZS)4 spacetimes. Finally, we construct an example of a (WZS)4 spacetime.

Abstract

The object of the present paper is to study weakly Z symmetric spacetimes (WZS)4. At rst we prove that a weakly Z symmetric spacetime is a quasi-Einstein spacetime and hence a perfect uid spacetime. Next, we consider conformally at (WZS)4 spacetimes and prove that such a spacetime is in nitesimally spatially isotropic relative to the unit timelike vector field. We also study (WZS)4 spacetimes with divergence free conformal curvature tensor. Moreover, we characterize dust uid and viscous uid (WZS)4 spacetimes. Finally, we construct an example of a (WZS)4 spacetime.

참고문헌 (34)

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