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Ricci soliton and geometrical structure in a perfect fluid spacetime with torse-forming vector field

  • VenkateshaEmail author
  • H. Aruna Kumara
Article
  • 76 Downloads

Abstract

In this paper geometrical aspects of perfect fluid spacetime with torse-forming vector field \(\xi \) are described and Ricci soliton in perfect fluid spacetime with torse-forming vector field \(\xi \) are determined. Conditions for the Ricci soliton to be expanding, steady or shrinking are also given.

Keywords

Perfect fluid spacetime Einstein field equation Energy momentum tensor Lorentz space Ricci soliton 

Mathematics Subject Classification

53B50 53C44 53C50 83C02 

Notes

Acknowledgements

The author’s is very much grateful to the reviewer’s for some valuable comments and many editorial corrections.

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsKuvempu UniversityShivamoggaIndia

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