Exploring stable models in f ( R , T , R μ ν T μ ν ) $f(R,T, R_{\mu\nu}T^{\mu\nu})$ gravity

Baffou, Etienne; Houndjo, M. J. S.; Tosssa, J.

doi:10.1007/s10509-016-2958-y

Cited by 54 publications

(37 citation statements)

References 32 publications

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“…µν , h ′ ≡ dh/dL m , and the the identity (21) has been substituted for the matter-curvature tensor.…”

Section: Compatibility With Eibi Gravitymentioning

confidence: 99%

Palatini f(R,Lm,RμνTμν

Fox

2019

Phys. Rev. D

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We investigate Palatini f (R, Lm, Rµν T µν ) modified theories of gravity wherein the metric and affine connection are treated as independent dynamical fields and the gravitational Lagrangian is made a function of the Ricci scalar R, the matter Lagrangian density Lm, and a "matter-curvature scalar" Rµν T µν . The field equations and the equations of motion for massive test particles are derived, and we show that the independent connection can be expressed as the Levi-Civita connection of an auxiliary, energy-momentum dependent metric, related to the physical metric by a matrix transformation. Similar to metric f (R, T, Rµν T µν ) gravity, the field equations impose the nonconservation of the energy-momentum tensor, leading to an appearance of an extra force on massive test particles. We obtain the explicit form of the field equations for massive test particles in the case of a perfect fluid, and an expression for the extra force. The nontrivial modifications to scalar fields and both linear and nonlinear electrodynamics are also considered. Finally, we detail the conditions under which the present theory is equivalent to the Eddington-inspired Born-Infeld (EiBI) model.

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“…µν , h ′ ≡ dh/dL m , and the the identity (21) has been substituted for the matter-curvature tensor.…”

Section: Compatibility With Eibi Gravitymentioning

confidence: 99%

Palatini f(R,Lm,RμνTμν

Fox

2019

Phys. Rev. D

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“…Ayuso et al [19] inspected the consistency and reliability of this complicated theory by choosing some suitable scalar (or vector) fields. Baffou et al [20] explored the power-law solution to understand the early cosmic evolution and checked the stability for some specific models. Sharif and Waseem [21,22] studied certain physical attributes of massive isotropic/anisotropic configured stars and checked their stable regions.…”

Section: Introductionmentioning

confidence: 99%

Study of Decoupled Anisotropic Solutions in f(R, T, RρηTρη) Theory

Naseer

Sharif

2022

Universe

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In this paper, we consider isotropic solution and extend it to two different exact well-behaved spherical anisotropic solutions through minimal geometric deformation method in f(R,T,RρηTρη) gravity. We only deform the radial metric component that separates the field equations into two sets corresponding to their original sources. The first set corresponds to perfect matter distribution while the other set exhibits the effects of additional source, i.e., anisotropy. The isotropic system is resolved by assuming the metric potentials proposed by Krori-Barua while the second set needs one constraint to be solved. The physical acceptability and consistency of the obtained solutions are analyzed through graphical analysis of effective matter components and energy bounds. We also examine mass, surface redshift and compactness of the resulting solutions. For particular values of the decoupling parameter, our both solutions turn out to be viable and stable. We conclude that this curvature-matter coupling gravity provides more stable solutions corresponding to a self-gravitating geometry.

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“…In f (R, T, Q) gravity, some particular scalar and vector fields have been considered by Ayuso et al [24] in which they studied the conditions for stability. Using some peculiar solutions, Baffou et al [25] investigated the stability of f (R, T, Q) theory and concluded that the extra curvature terms could be helpful to understand the early phases of our cosmic evolution. They also discussed the stability of some particular models in f (R, T, Q) theory by obtaining their solution through numerical techniques.…”

Section: Introductionmentioning

confidence: 99%

New Definition of Complexity Factor in $f(R,T,R_{μν}T^{μν})$ Gravity

Yousaf,

Bhatti,

Naseer

2020

Preprint

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This paper is devoted to present new definition of complexity factor for static cylindrically symmetric matter configurations in f (R, T, R µν T µν ) gravity. For this purpose, we have considered irrotational static cylindrical spacetime coupled with a locally anisotropic relativistic fluid. After formulating gravitational field and conservation equations, we have performed orthogonal splitting of the Riemann curvature tensor. Unlike GR (for spherical case) the one of the structure scalars X T F , has been identified to be a complexity factor. This factor contains effective forms of the energy density, and anisotropic pressure components. Few peculiar relations among complexity factor, Tolman mass and Weyl scalar are also analyzed with the modified f (R, T, R µν T µν ) corrections.

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Exploring stable models in f ( R , T , R μ ν T μ ν ) $f(R,T, R_{\mu\nu}T^{\mu\nu})$ gravity

Cited by 54 publications

References 32 publications

Palatini f(R,Lm,RμνTμν

Palatini f(R,Lm,RμνTμν

Study of Decoupled Anisotropic Solutions in f(R, T, RρηTρη) Theory

New Definition of Complexity Factor in $f(R,T,R_{μν}T^{μν})$ Gravity

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