Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RICCI ρ-SOLITON IN A PERFECT FLUID SPACETIME WITH A GRADIENT VECTOR FIELD

  • Dibakar Dey (Department of Pure Mathematics University of Calcutta) ;
  • Pradip Majhi (Department of Pure Mathematics University of Calcutta)
  • Received : 2022.02.18
  • Accepted : 2022.05.16
  • Published : 2023.01.31
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Abstract

In this paper, we studied several geometrical aspects of a perfect fluid spacetime admitting a Ricci ρ-soliton and an η-Ricci ρ-soliton. Beside this, we consider the velocity vector of the perfect fluid space time as a gradient vector and obtain some Poisson equations satisfied by the potential function of the gradient solitons.

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Acknowledgement

The authors would like to thank the anonymous referee for his/her careful reading and valuable suggestions that have improved the paper.

References

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