Characterization of solitons in a pseudo-quasi-conformally flat and pseudo- $ W_8 $ flat Lorentzian Kähler space-time manifolds

B. B. Chaturvedi; Kunj Bihari Kaushik; Prabhawati Bhagat; Mohammad Nazrul Islam Khan; B. B. Chaturvedi; Kunj Bihari Kaushik; Prabhawati Bhagat; Mohammad Nazrul Islam Khan

doi:10.3934/math.2024951

AIMS Mathematics

2024, Volume 9, Issue 7: 19515-19528. doi: 10.3934/math.2024951

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Research article

Characterization of solitons in a pseudo-quasi-conformally flat and pseudo- $ W_8 $ flat Lorentzian Kähler space-time manifolds

1.
Department of Mathematics, Guru Ghasidas Vishwavidyalaya (A Central University) 495009, Bilaspur (C.G.), India
2.
Department of Computer Engineering, College of Computer, Qassim University, Saudi Arabia

Received: 02 May 2024 Revised: 30 May 2024 Accepted: 05 June 2024 Published: 13 June 2024
MSC : 35C08, 53C50, 53C55

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.
Citation: B. B. Chaturvedi, Kunj Bihari Kaushik, Prabhawati Bhagat, Mohammad Nazrul Islam Khan. Characterization of solitons in a pseudo-quasi-conformally flat and pseudo- $ W_8 $ flat Lorentzian Kähler space-time manifolds[J]. AIMS Mathematics, 2024, 9(7): 19515-19528. doi: 10.3934/math.2024951

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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.

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