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Ricci soliton vector fields of Kantowski–Sachs spacetimes

Ahmad T. Ali

Faculty of Science, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Faculty of Science, Mathematics Department, Al-Azhar University, Nasr City 11884, Cairo, Egypt

E-mail Address: atali71@yahoo.com

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and

Suhail Khan

https://orcid.org/0000-0002-0837-3771

Department of Mathematics, University of Peshawar, Peshawar, Khyber Pakhtunkhwa, Pakistan

E-mail Address: suhail_74pk@yahoo.com

Corresponding author.

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https://doi.org/10.1142/S0217732322501462Cited by:7 (Source: Crossref)

Abstract

In this paper our focus is on exploring the Ricci solitons of the Kantowski–Sachs spacetime. All the obtained Ricci solitons are expanding only. Also in all the cases except one case, Ricci soliton manifolds are Einstein and hence the Ricci solitons are the trivial Ricci solitons. Only in one particular case the obtained Ricci soliton is non-Einstein and expanding. We have also shown that in some cases the obtained Ricci soliton vector fields are potential fields while in other cases they are not potential fields.

Keywords:

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