Author
Venkatesha
Bio: Venkatesha is an academic researcher from Kuvempu University. The author has contributed to research in topics: Spacetime & Stress–energy tensor. The author has an hindex of 1, co-authored 1 publications receiving 9 citations.
Topics: Spacetime, Stress–energy tensor, Perfect fluid, Vector field
Papers
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TL;DR: In this paper, geometrical aspects of perfect fluid spacetime with torse-forming vector field are described and conditions for the Ricci soliton to be expanding, steady or shrinking are also given.
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.
9 citations
Cited by
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TL;DR: In this article , the authors studied the relativistic space-time with a torse-forming potential vector field, and evaluated the characterization of the metrics when the space time with a semi-symmetric energy-momentum tensor admits an η1-Einstein soliton, whose potential field is torseforming.
Abstract: The present research paper consists of the study of an η1-Einstein soliton in general relativistic space-time with a torse-forming potential vector field. Besides this, we try to evaluate the characterization of the metrics when the space-time with a semi-symmetric energy-momentum tensor admits an η1-Einstein soliton, whose potential vector field is torse-forming. In adition, certain curvature conditions on the space-time that admit an η1-Einstein soliton are explored and build up the importance of the Laplace equation on the space-time in terms of η1-Einstein soliton. Lastly, we have given some physical accomplishment with the connection of dust fluid, dark fluid and radiation era in general relativistic space-time admitting an η1-Einstein soliton.
17 citations
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TL;DR: In this paper , the authors studied general relativistic spacetime obeying an η-Ricci-Bourguignon soliton, whose potential vector field is torse-forming.
Abstract: In this article, we study some characterization of general relativistic spacetime obeying an η-Ricci-Bourguignon soliton admitting torse forming potential vector field. Also, we have discussed some enactment of the soliton when the spacetime equipped with semi-symmetric energy-momentum tensor in terms of η-Ricci-Bourguignon soliton, whose potential vector field is torse-forming. Besides, we investigate certain curvature conditions on the spacetime that admits an η-Ricci-Bourguignon soliton. Next, we have given some physical phenomenon with the connection of dust fluid, dark fluid and radiation era in general relativistic spacetime admitting an η-Ricci-Bourguignon soliton. Lastly, we describe a harmonic feature of η-Ricci-Bourguignon soliton on a general relativistic spacetime.
6 citations
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TL;DR: In this paper, the geometrical aspects of a perfect fluid spacetime in terms of conformal Ricci soliton and conformal η-Ricci solitons with torse-forming vector field were studied.
Abstract: In this paper, we studied the geometrical aspects of a perfect fluid spacetime in terms of conformal Ricci soliton and conformal η-Ricci soliton with torse-forming vector field ξ. Condition for the...
5 citations
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TL;DR: In this paper, the authors studied the Riemann soliton and gradient almost-Riemann-soliton on a certain class of almost Kenmotsu manifolds.
Abstract: The aim of this paper, is to study the Riemann soliton and gradient almost Riemann soliton on certain class of almost Kenmotsu manifolds. Also, some suitable examples of Kenmotsu and (κ,μ)′-almost ...
5 citations