Conformally Flat Pseudoprojective Symmetric Spacetimes in f (R, G) Gravity

Article Mathematics, Applied

On generalized projective P-curvature tensor

Uday Chand De et al.

Summary: This paper introduces and investigates the generalized P-curvature tensor, proving geometric properties of manifolds and providing classification theorems for them, followed by a detailed scrutiny of space-times with specific characteristics.

JOURNAL OF GEOMETRY AND PHYSICS (2021)

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Article Physics, Multidisciplinary

Energy conditions for a (WRS)4 spacetime in F(R)-gravity

Avik De et al.

Summary: This paper focuses on studying four-dimensional weakly Ricci symmetric spacetimes with nonzero constant Ricci scalar and F(R)-gravity field equations. It is found that certain F(R) models support the universe's accelerating behavior and satisfy energy conditions, while strong energy conditions are violated.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

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Article Physics, Multidisciplinary

A conformally flat generalized Ricci recurrent spacetime in F(R)-gravity

Avik De et al.

Summary: This study examines a conformally flat generalized Ricci recurrent perfect fluid spacetime as a solution of modified F(R)-gravity theory, showing the characteristics of various energy conditions. The results indicate that both cases studied in the context of current observational studies of accelerated expansion of the Universe satisfy the energy conditions, while violating the strong energy condition.

PHYSICA SCRIPTA (2021)

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Article Physics, Multidisciplinary

How a Conformally Flat (GR)4 Impacts Gauss-Bonnet Gravity?

Avik De et al.

Summary: The study examines a 4-dimensional conformally flat generalized Ricci recurrent spacetime as a solution of f(R,G)-gravity theory, showing that additional terms from the modification of the gravitational sector can be expressed as a perfect fluid. Energy conditions are investigated for two models, indicating satisfaction of weak, null, and dominant energy conditions while violation of the strong energy condition, in agreement with recent observational studies on the accelerating universe.

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS (2021)

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Article Mathematics