Characterization of solitons in a pseudo-quasi-conformally flat and pseudo- $ W_8 $ flat Lorentzian Kähler space-time manifolds-Reference-Cited by-同舟云学术

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

Published:2024 Issue:7 Volume:9 Page:19515-19528
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Chaturvedi B. B.¹,Kaushik Kunj Bihari¹,Bhagat Prabhawati¹,Khan Mohammad Nazrul Islam²

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference34 articles.

1. A. Awane, A. Chkiriba, M. Goze, E. Azizi, M. B. Bah, Vectorial polarized manifolds, Africain Journal of Mathematical Physics, 4 (2007), 33–43.

2. M. B. Ayed, K. E. Mehdi, M. O. Ahmedou, F. Pacella, Energy and Morse index of solutions of Yamabe type problems on thin annuli, J. Eur. Math. Soc., 7 (2005), 283–304. https://doi.org/10.4171/JEMS/29

3. A. M. Blaga, On gradient $\eta$-Einstein solitons, Kragujev. J. Math., 42 (2018), 229–237.

4. A. M. Blaga, Solitons and geometrical structures in a perfect fluid spacetime, Rocky Mountain J. Math., 50 (2020), 41–53. https://doi.org/10.1216/rmj.2020.50.41

5. G. Catino, L. Mazzieri, Gradient Einstein solitons, Nonlinear Analysis, 132 (2016), 66–94. https://doi.org/10.1016/j.na.2015.10.021