Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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W5-CURVATURE TENSOR IN THE SPACE-TIME OF GENERAL RELATIVITY

  • Ganesh Prasad Pokhariyal (Department of Mathematics, Graphic Era Hill University) ;
  • Sudhakar Kumar Chaubey (Department of Information Technology, University of Technology and Applied Sciences)
  • Received : 2024.03.27
  • Accepted : 2024.08.07
  • Published : 2024.12.20
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Abstract

The W5-curvature tensor has been studied in the space- time of general relativity. The space-time satisfying Einstein's field equations with cosmological term and vanishing W5-curvature tensor has been considered and it has been shown that metric tensor is proportional to the energy-momentum tensor. The existence of Killing as well as conformal Killing vector fields have been shown. Further for a W5-flat perfect fluid space-time satisfying Einstein's field equations, the isotropic pressure has been found to be the function of cosmological constant and non-zero gravitational constant.

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Acknowledgement

The authors express their sincere thanks to the Editor and anonymous referees for their valuable suggestions in the improvement of the paper.

References

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