On Pseudo Ricci Symmetric Manifolds

De, Uday Chand; Gazi, Abul Kalam

doi:10.2478/v10157-012-0001-3

Cited by 7 publications

(6 citation statements)

References 8 publications

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“…In a recent paper [6], it was shown that a pseudo-Ricci symmetric quasi Einstein perfect fluid spacetime represents the equation of state in the radiation era in the evolution of our universe.…”

Section: Introductionmentioning

confidence: 99%

On Conformally Flat Almost Pseudo-Ricci Symmetric Spacetimes

Özgür

2012

Int J Theor Phys

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We consider a conformally flat almost pseudo-Ricci symmetric spacetime. At first we show that a conformally flat almost pseudo-Ricci symmetric spacetime can be taken as a model of the perfect fluid spacetime in general relativity and cosmology. Next we show that if in a conformally flat almost pseudo-Ricci symmetric spacetime the matter distribution is perfect fluid whose velocity vector is the vector field corresponding to 1-form B of the spacetime, the energy density and the isotropic pressure are not constants. We also show that a conformally flat almost pseudo-Ricci symmetric spacetime is the Robertson-Walker spacetime. Finally we give an example of a conformally flat almost pseudo-Ricci symmetric spacetime with non-zero non-constant scalar curvature admitting a concircular vector field.

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Section: Introductionmentioning

confidence: 99%

On Conformally Flat Almost Pseudo-Ricci Symmetric Spacetimes

Özgür

2012

Int J Theor Phys

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“…The pseudo Ricci symmetric manifolds have been also studied by Arslan et. al [1], Chaki and Saha [8], De and Mazumder [12], De, Murathan andÖzgür [13],Özen [20] and many others. The relation (1.3) can be written as…”

Section: Introductionmentioning

confidence: 99%

On φ-pseudo Symmetries of (LCS)_n-Manifolds

Hui¹

2013

Kyungpook mathematical journal

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“…(3) A conformally-flat almost pseudo-Ricci symmetric spacetime is the Robertson-Walker spacetime. When the manifold is quasi-Einstein manifold, in [10], the authors proved that a pseudo-Ricci symmetric quasi-Einstein perfect fluid spacetime represents the equation of state in the radiation era in the evolution of our universe.…”

Section: B şAhin and A Yıldızmentioning

confidence: 99%