(m,ρ)-quasi-Einstein solitons on 3-dimensional trans-Sasakian manifolds and its applications in spacetimes
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Published:2023-08-24
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Volume:
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ISSN:0219-8878
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Container-title:International Journal of Geometric Methods in Modern Physics
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language:en
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Short-container-title:Int. J. Geom. Methods Mod. Phys.
Author:
Sarkar Avijit1ORCID,
Biswas Urmila1ORCID
Affiliation:
1. Department of Mathematics, University of Kalyani, Kalyani 741235, Nadia, West Bengal, India
Abstract
This paper characterizes [Formula: see text]-quasi-Einstein solitons on [Formula: see text]-dimensional trans-Sasakian manifolds. It has been shown that a closed [Formula: see text]-quasi-Einstein soliton on a [Formula: see text]-dimensional trans-Sasakian manifold is either cosymplectic or Einstein under certain restrictions. Moreover, we investigate [Formula: see text]-quasi-Einstein solitons with certain potential vector fields on [Formula: see text]-dimensional trans-Sasakian manifolds. As an application of this soliton, we also analyze super quasi-Einstein spacetimes whose metrics are associated with [Formula: see text]-quasi-Einstein solitons.
Funder
University Grants Commission
Publisher
World Scientific Pub Co Pte Ltd
Subject
Physics and Astronomy (miscellaneous)