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arXiv · 2105.11142

Geometrical structure in a perfect fluid spacetime with conformal Ricci-Yamabe soliton

Soumendu Roy·Santu Dey·Arindam Bhattacharyya
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Abstract

The present paper is to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci-Yamabe metric and conformal η-Ricci-Yamabe metric. Here we have delineated the conditions for conformal Ricci-Yamabe soliton to be expanding, steady, or shrinking. Later, we have acquired Laplace equation from conformal η-Ricci-Yamabe soliton equation when the potential vector field ξ of the soliton is of gradient type. Lastly, we have designated perfect fluid with Robertson-Walker spacetime and some applications of physics and gravity.

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Soumendu Roy, Santu Dey, Arindam Bhattacharyya. 2021-05-24. Geometrical structure in a perfect fluid spacetime with conformal Ricci-Yamabe soliton. https://arxiv.org/abs/2105.11142

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