Geodesic
$k$-Yamabe and quasi $k$-Yamabe solitons on imperfect fluid generalized Robertson --- Walker spacetime
Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 25 (2022) no. 1, pp. 21-33.

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In this research article, we estimate the behavior of an imperfect fluid generalized Robertson — Walker spacetime ($GRW$) in terms of $k$-Yamabe soliton with torseforming vector field. Besides this, we evaluate a specific situation when the potential vector filed $\xi$ is of the form of gradient i.e., $\xi = \mathrm{grad}\,(\Psi)$, we extract a Laplace — Poisson equation, and Liouville equation from the quasi $k$-Yamabe soliton equation.
Keywords: $k$-Yamabe soliton, imperfect fluid generalized Robertson — Walker spacetime, torse-forming vector field, Einstein manifold.
Mots-clés : quasi $k$-Yamabe soliton 
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     author = {M. D. Siddiqi and Sh. A. Siddiqui},
     title = {$k${-Yamabe} and quasi $k${-Yamabe} solitons on imperfect fluid generalized {Robertson} --- {Walker} spacetime},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
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     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/VVGUM_2022_25_1_a1/}
}
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M. D. Siddiqi; Sh. A. Siddiqui. $k$-Yamabe and quasi $k$-Yamabe solitons on imperfect fluid generalized Robertson --- Walker spacetime. Matematičeskaâ fizika i kompʹûternoe modelirovanie, Tome 25 (2022) no. 1, pp. 21-33. http://geodesic.mathdoc.fr/item/VVGUM_2022_25_1_a1/