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Research Article | Open Access

Characterization of solitons in a pseudo-quasi-conformally flat and pseudo- W 8 flat Lorentzian Kähler space-time manifolds

B. B. Chaturvedi1, Kunj Bihari Kaushik1, Prabhawati Bhagat1, Mohammad Nazrul Islam Khan2( )
Department of Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University) 495009, Bilaspur (C.G.), India
Department of Computer Engineering, College of Computer, Qassim University, Saudi Arabia
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Abstract

The present paper dealt with the study of solitons of Lorentzian Kähler space-time manifolds. In this paper, we have discussed different conditions for solitons to be steady, expanding, or shrinking in terms of isotropic pressure, the cosmological constant, energy density, nonlinear equations, and gravitational constant in pseudo-quasi-conformally flat and pseudo- W 8 flat Lorentzian Kähler space-time manifolds.

Keywords

Lorentzian Kähler space-time manifoldssolitonsdifferential equationspartial differential equationspseudo-quasi-conformal curvature tensorpseudo-W8 curvature tensornonlinear equations
CLC number: 35C08, 53C50, 53C55

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 19515-19528
DOI: 10.3934/math.2024951

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Chaturvedi BB, Kaushik KB, Bhagat P, et al. Characterization of solitons in a pseudo-quasi-conformally flat and pseudo- W 8 flat Lorentzian Kähler space-time manifolds. AIMS Mathematics, 2024, 9(7): 19515-19528. https://doi.org/10.3934/math.2024951

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Received: 02 May 2024
Revised: 30 May 2024
Accepted: 05 June 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)