International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2021, Vol. 6, Issue 1, Part B

P1-Curvature tensor in the space time of general relativity


Author(s): FZ Chagpar, GP Pokhariyal and SK Moindi

Abstract: The P1 - curvature tensor defined from W3 - curvature tensor has been studied in the space time of general relativity. The Bianchi like differential identity is satisfied by P1 - tensor if and only if the Ricci tensor is of Codazzi type. It is shown that Einstein like field equations can be expressed with the help of the contracted part of P1 - tensor, which is conserved if the energy momentum tensor is Codazzi type. Considering P1 -flat space time satisfying Einstein’s field equations with cosmological term, the existence of Killing vector field ξ is shown if and only if the Lie derivative of the energy-momentum tensor vanishes with respect to ξ, as well as admitting a conformal Killing vector field is established if and only if the energy-momentum tensor has the symmetry inheritance property. Finally for a P1 - flat perfect fluid space time satisfying Einstein’s equations with cosmological term, some results are obtained.

DOI: 10.22271/maths.2021.v6.i1b.645

Pages: 148-152 | Views: 52 | Downloads: 10

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How to cite this article:
FZ Chagpar, GP Pokhariyal, SK Moindi. P1-Curvature tensor in the space time of general relativity. Int J Stat Appl Math 2021;6(1):148-152. DOI: 10.22271/maths.2021.v6.i1b.645
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