A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity-Reference-Cited by-同舟云学术

A study of mixed generalized quasi-Einstein spacetimes with applications in general relativity

Published:2023 Issue:10 Volume:8 Page:24726-24739
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bilal Mohd¹,Vasiulla Mohd²,Haseeb Abdul³,Ahmadini Abdullah Ali H.³,Ali Mohabbat²

Affiliation:

1. Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Al Qura University, Makkah 21955, Saudi Arabia

2. Department of Applied Sciences & Humanities, Jamia Millia Islamia (Central University), New Delhi 110025, India

3. Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 2097, Jazan 45142, Saudi Arabia

Abstract

<abstract><p>In the present paper we study Ricci pseudo-symmetry, Z-Ricci pseudo-symmetry and concircularly pseudo-symmetry conditions on a mixed generalized quasi-Einstein spacetime $ MG(QE)_{4} $. Also, it is proven that if $ d\neq \varLambda $, then $ MG(QE)_{4} $ spacetime does not admit heat flux, where $ d $ and $ \varLambda $ are the function and the cosmological constant, respectively. In the end of this paper we construct a non-trivial example of $ MG(QE)_{4} $ to prove its existence.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference23 articles.

1. A. L. Besse, Einstein manifolds, classics in mathematics, Berlin: Springer-Verlag, 1987. https://doi.org/10.1007/978-3-540-74311-8

2. M. C. ChaKi, R. K. Maity, On quasi-Einstein manifolds, Publ. Math. Debrecen, 57 (2000), 297–306. https://doi.org/10.5486/PMD.2000.2169

3. C. A. Mantica, L. G. Molinari, U. C. De, A condition for a perfect fluid spacetime to be a generalized Robertson-WalKer space-time, J. Math. Phys., 57 (2016), 022508. https://doi.org/10.1063/1.4941942

4. C. A. Mantica, Y. J. Suh, U. C. De, A note on generalized Robertson-WalKer spacetimes, Int. J. Geom. Meth. Mod. Phys., 13 (2016), 1650079. https://doi.org/101142/s0219887816500791

5. U. C. De, G. C. Ghosh, On quasi Einstein and special quasi Einstein manifolds, Proc. Int. Conf. Math. Appl., 2004.