Application of Mixed Generalized Quasi-Einstein Spacetimes in General Relativity

Vasiulla, Mohd; Haseeb, Abdul; Mofarreh, Fatemah; Ali, Mohabbat

doi:10.3390/math10203749

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(Zs) 4 Spacetimes Admitting Schouten Tensor1

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2022

2024

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Cited by 3 publications

(1 citation statement)

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“…Recently, spacetimes and its properties have been studied in several ways by various authors such as [16,[26][27][28][29][30][31][32][33][34] and many others. Now we prove the following:…”

Section: (Zs) 4 Spacetimes Admitting Schouten Tensormentioning

confidence: 99%

Z-Symmetric Manifolds Admitting Schouten Tensor

et al. 2022

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The paper deals with the study of Z-symmetric manifolds (ZS)n admitting certain cases of Schouten tensor (specifically: Ricci-recurrent, cyclic parallel, Codazzi type and covariantly constant), and investigate some geometric and physical properties of the manifold. Moreover, we also study (ZS)4 spacetimes admitting Codazzi type Schouten tensor. Finally, we construct an example of (ZS)4 to verify our result.

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“…Recently, spacetimes and its properties have been studied in several ways by various authors such as [16,[26][27][28][29][30][31][32][33][34] and many others. Now we prove the following:…”

Section: (Zs) 4 Spacetimes Admitting Schouten Tensormentioning

confidence: 99%

Z-Symmetric Manifolds Admitting Schouten Tensor

et al. 2022

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A study of mixed super quasi-Einstein manifolds with applications to general relativity

Vasiulla,

Ali,

Ünal

2024

Int. J. Geom. Methods Mod. Phys.

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In this paper, we explore a set of geometric properties of Mixed Super Quasi-Einstein (MSQE) manifolds and provide examples of both Riemannian and Lorentzian MSQE manifolds to demonstrate their existence. Furthermore, we examine MSQE spacetimes in the context of the space-matter tensor, discussing several related properties. Finally, we establish the existence of an MSQE spacetime through a nontrivial example.

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

Bilal,

Vasiulla,

Haseeb

et al. 2023

MATH

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<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>

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Application of Mixed Generalized Quasi-Einstein Spacetimes in General Relativity

Abstract: In the present article, some geometric and physical properties of MG(QE)n were investigated. Moreover, general relativistic viscous fluid MG(QE)4 spacetimes with some physical applications were studied. Finally, through a non-trivial example of MG(QE)4 spacetime, we proved its existence.

Cited by 3 publications

References 14 publications

Z-Symmetric Manifolds Admitting Schouten Tensor

Z-Symmetric Manifolds Admitting Schouten Tensor

A study of mixed super quasi-Einstein manifolds with applications to general relativity

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

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