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How a projectively flat geometry regulates F (R)-gravity theory?
In the present paper we examine a projectively flat spacetime solution of F (R)-gravity theory.
It is seen that once we deploy projective flatness in the geometry of the spacetime, the matter …
It is seen that once we deploy projective flatness in the geometry of the spacetime, the matter …
A conformally flat generalized Ricci recurrent spacetime in F (R)-gravity
In the present paper we study a conformally flat generalized Ricci recurrent perfect fluid
spacetime with constant Ricci scalar as a solution of modified F (R)-gravity theory. We show …
spacetime with constant Ricci scalar as a solution of modified F (R)-gravity theory. We show …
Investigations on solitons in -gravity
The prime purpose of this paper is to characterize the f (R)-gravity, when Ricci solitons,
gradient Ricci solitons and gradient Yamabe solitons, respectively are its metrics. At first, the …
gradient Ricci solitons and gradient Yamabe solitons, respectively are its metrics. At first, the …
Impact of curvature based geometric constraints on F(R) theory
Theories of gravity are fundamentally a relation between matter and the geometric structure
of the underlying spacetime. So once we put some additional restrictions on the spacetime …
of the underlying spacetime. So once we put some additional restrictions on the spacetime …
Characterizations of weakly Ricci-symmetric spacetimes and -gravity
In this paper, we characterize weakly Ricci-symmetric (shortly,(WRS) 4) spacetimes and
their solutions in f (ℛ)-gravity. It is demonstrated that a (WRS) 4 spacetime represents a stiff …
their solutions in f (ℛ)-gravity. It is demonstrated that a (WRS) 4 spacetime represents a stiff …
Characterizations of vacuum solutions of f (R)− gravity in space-times admitting Z tensor of Codazzi type
In this work, characterizations of vacuum solutions of f (R)-gravity are established in a space-
time whose Z tensor is of Codazzi type. We prove that the associated covector of a (PZS) n …
time whose Z tensor is of Codazzi type. We prove that the associated covector of a (PZS) n …
Impact of quasi-conformal curvature tensor in spacetimes and -gravity
At first, we show that a quasi-conformally flat perfect fluid spacetime is a de-Sitter spacetime
as well as a Robertson-Walker spacetime. We study this spacetime as a solution of\(f\left …
as well as a Robertson-Walker spacetime. We study this spacetime as a solution of\(f\left …
Spacetimes admitting concircular curvature tensor in f (R) gravity
The main object of this paper is to investigate spacetimes admitting concircular curvature
tensor in f (R) gravity theory. At first, concircularly flat and concircularly flat perfect fluid …
tensor in f (R) gravity theory. At first, concircularly flat and concircularly flat perfect fluid …
Solitons in -Gravity
The goal of this book chapter is to examine the perfect fluid spacetimes fulfilling f (R, T)-
gravity when Ricci and gradient Ricci solitons, Yamabe and gradient Yamabe solitons, η …
gravity when Ricci and gradient Ricci solitons, Yamabe and gradient Yamabe solitons, η …
Ricci-Yamabe Solitons in f (R)-gravity
The main objective of this paper is to describe the perfect fluid spacetimes fulfilling f(R)-
gravity, when Ricci-Yamabe, gradient Ricci-Yamabe and η-Ricci-Yamabe solitons are its …
gravity, when Ricci-Yamabe, gradient Ricci-Yamabe and η-Ricci-Yamabe solitons are its …