Kyungpook Mathematical Journal

  • 제60권1호
  • /
  • Pages.185-195
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  • 2020
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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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The 𝒲⁎-curvature Tensor on Relativistic Space-times

  • 투고 : 2019.06.10
  • 심사 : 2019.11.25
  • 발행 : 2020.03.31
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초록

This paper aims to study the 𝒲⁎-curvature tensor on relativistic space-times. The energy-momentum tensor T of a space-time having a semi-symmetric 𝒲⋆-curvature tensor is semi-symmetric, whereas the whereas the energy-momentum tensor T of a space-time having a divergence free 𝒲⋆-curvature tensor is of Codazzi type. A space-time having a traceless 𝒲⁎-curvature tensor is Einstein. A 𝒲⁎-curvature flat space-time is Einstein. Perfect fluid space-times which admits 𝒲⋆-curvature tensor are considered.

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참고문헌

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