Kyungpook Mathematical Journal

  • 제58권4호
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  • Pages.761-779
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  • 2018
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On Weakly Z Symmetric Spacetimes

  • De, Uday Chand (Department of Pure Mathematics, University of Calcutta 35)
  • 투고 : 2018.02.02
  • 심사 : 2018.06.04
  • 발행 : 2018.12.23
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초록

The object of the present paper is to study weakly Z symmetric spacetimes $(WZS)_4$. At first we prove that a weakly Z symmetric spacetime is a quasi-Einstein spacetime and hence a perfect fluid spacetime. Next, we consider conformally flat $(WZS)_4$ spacetimes and prove that such a spacetime is infinitesimally spatially isotropic relative to the unit timelike vector field ${\rho}$. We also study $(WZS)_4$ spacetimes with divergence free conformal curvature tensor. Moreover, we characterize dust fluid and viscous fluid $(WZS)_4$ spacetimes. Finally, we construct an example of a $(WZS)_4$ spacetime.

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참고문헌

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