A Study of Generalized Quasi Einstein Spacetimes with Applications in General Relativity

Güler, Si̇nem; Demirbağ, Sezgin Altay

doi:10.1007/s10773-015-2692-1

Cited by 43 publications

(16 citation statements)

References 16 publications

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“…Taking a frame field after contraction over Y and Z, we obtain from (3.10) that 11) where i = g(e i , e i ) = ±1. Plugging ω in place of Y and Z in (3.10), we get…”

Section: Conformally Flat (Qe) 4 Spacetimementioning

confidence: 99%

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A Study of Conformally Flat Quasi-Einstein Spacetimes with Applications in General Relativity

Venkatesha

Kumara

2021

KgJMat

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“…Taking a frame field after contraction over Y and Z, we obtain from (3.10) that 11) where i = g(e i , e i ) = ±1. Plugging ω in place of Y and Z in (3.10), we get…”

Section: Conformally Flat (Qe) 4 Spacetimementioning

confidence: 99%

“…In the paper [5], Chaki and Ray studied spacetimes with covariant constant energy momentum tensor. In recent paper [11,17], they studied the quasi-Einstein spacetime and generalized quasi-Einstein spacetime in general relativity. Additionally, there are many works related with spacetime in general relativity [1,13,14,16,19].…”

Section: Introductionmentioning

confidence: 99%

A Study of Conformally Flat Quasi-Einstein Spacetimes with Applications in General Relativity

Venkatesha

Kumara

2021

KgJMat

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“…The geometric properties of generalized quasi-Einstein manifolds have been studied in [7][8][9][10][11]. A generalized quasi-Einstein manifold, in addition to its geometrical features, has remarkable physical applications in general relativity [12][13][14]. Complex η−Einstein manifolds could be considered as a special case of generalized quasi-Einstein manifolds (see [15]).…”

Section: Introductionmentioning

confidence: 99%

Generalized Quasi-Einstein Manifolds in Contact Geometry

Ünal

2020

Mathematics

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In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds. Later, we explore the generalized quasi-constant curvature of normal metric contact pair manifolds. It is proved that a normal metric contact pair manifold with generalized quasi-constant curvature is a generalized quasi-Einstein manifold. Normal metric contact pair manifolds satisfying cyclic parallel Ricci tensor and the Codazzi type of Ricci tensor are considered, and further prove that a generalized quasi-Einstein normal metric contact pair manifold does not satisfy Codazzi type of Ricci tensor. Finally, we characterize normal metric contact pair manifolds satisfying certain curvature conditions related to M-projective, conformal, and concircular curvature tensors. We show that a normal metric contact pair manifold with generalized quasi-constant curvature is locally isometric to the Hopf manifold S2n+1(1)×S1.

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“…Many researchers studied the properties of the space-time. We cite ( [8], [14], [16], [30]) and their references.…”

Section: Introductionmentioning

confidence: 99%

Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric ξ-connection

Chaubey¹,

De²

2019

International Electronic Journal of Geometry

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A Study of Generalized Quasi Einstein Spacetimes with Applications in General Relativity

Cited by 43 publications

References 16 publications

A Study of Conformally Flat Quasi-Einstein Spacetimes with Applications in General Relativity

A Study of Conformally Flat Quasi-Einstein Spacetimes with Applications in General Relativity

Generalized Quasi-Einstein Manifolds in Contact Geometry

Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric ξ-connection

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