Ricci Symmetries of Static Space-Times with Maximal Symmetric Transverse Spaces

Akbar, M.

doi:10.1088/0253-6102/49/5/33

Cited by 3 publications

(1 citation statement)

References 26 publications

(45 reference statements)

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“…The relation between RC and isometries for static plane symmetric spacetimes is established in [17]. RC for maximally symmetric transverse spacetimes are considered for both degenerate and non-degenerate cases in [1,2]. The Ricci inheritance symmetries of spherically symmetric spacetimes and Friedman models are discussed in [9] and [10], respectively.…”

Section: Introductionmentioning

confidence: 99%

Conformal Ricci Collineations of Plane Symmetric Static Spacetimes

Ali

2016

Preprint

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This article explores the Conformal Ricci Collineations (CRCs) for the planesymmetric static spacetime. The non-linear coupled CRC equations are solved to get the general form of conformal Ricci symmetries. In the non-degenerate case, it turns out that the dimension of the Lie algebra of CRCs is finite. In the case were the Ricci tensor is degenerate, it found that the algebra of CRCs for the plane-symmetric static spacetime is mostly, but not always, infinite dimensional. In one case of degenerate Ricci tensor, we solved the differential constraints completely and a spacetime metric is obtained along with CRCs. We found ten possible cases of finite and infinite dimensional Lie algebras of CRCs for the considered spacetime.

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Section: Introductionmentioning

confidence: 99%

Conformal Ricci Collineations of Plane Symmetric Static Spacetimes

Ali

2016

Preprint

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Ricci inheritance collineation in Bianchi type I spacetimes

2015

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Ricci inheritance collineations in Kantowski–Sachs spacetimes

Hussain

Musharaf

Khan

2016

Int. J. Geom. Methods Mod. Phys.

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In this paper, we investigate Ricci Inheritance Collineations (RICs) in Kantowski–Sachs spacetimes. RICs are discussed in detail when Ricci tensor is degenerate and nondegenerate. In both the cases, RICs are obtained and it turns out that the dimension of Lie algebra of RICs is finite when Ricci tensor is nondegenerate. In the case when Ricci tensor is degenerate, we get finite as well as infinite dimensional group of RICs.

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Ricci Symmetries of Static Space-Times with Maximal Symmetric Transverse Spaces

Cited by 3 publications

References 26 publications

Conformal Ricci Collineations of Plane Symmetric Static Spacetimes

Conformal Ricci Collineations of Plane Symmetric Static Spacetimes

Ricci inheritance collineation in Bianchi type I spacetimes

Ricci inheritance collineations in Kantowski–Sachs spacetimes

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