On the role of f (G, T) terms in structure scalars

Yousaf, Z.

doi:10.1140/epjp/i2019-12582-5

Cited by 74 publications

(20 citation statements)

References 86 publications

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“…which is consistent with Eqs. ( 35) and (37). Now, presume the situation in which the sphere is completely filled with the fluid, i.e., we take ξ = 0.…”

Section: Novel Definition Of Velocity U and Some Additional Conditionsmentioning

confidence: 99%

“…For some specified form of f (G, T) gravity models, Bhatti et al [36] formulated the existence of some compact cosmic structures and examined the compactness and energy conditions at the core of the compact star. Yousaf [37] worked out the theoretical formulation of some dynamical variables, which have a key role to explain the physical features of cosmological structures with the aid of certain theoretical model of f (G, T) gravity. Yousaf [38] figured out some scalar functions for time-dependent orthogonally symmetric spherical sources under f (G, T) = αG n + β ln[G] + λT, where n, α and β are the constant parameters.…”

Section: Introductionmentioning

confidence: 99%

“…where η is an arbitrary real constant. To incorporate the Gauss-Bonnet corrections, we take the functional g 1 (G) [37,53] as follows…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

$f(\mathcal{G},T_{αβ}T^{αβ})$ Theory and Complex Cosmological Structure

Yousaf,

Bhatti,

Khan

et al. 2021

Preprint

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The basic objective of this investigation is to explore the impact of a novel gravitational modification, specifically, the f (G, T 2 ) (where G := R 2 + R αβσς R αβσς − 4R αβ R αβ and T 2 := T αβ T αβ , T αβ denotes the stress-energy tensor) model of gravitation, upon the complexity of time-dependent dissipative as well as non-dissipative spherically symmetric celestial structures. To find the complexity factor (CF) from the generic version of the structural variables, we performed Herrera's scheme for the orthogonal cracking of Riemann tensor. In this endeavor, we are mainly concerned with the issue of relativistic gravitational collapse of the dynamically relativistic spheres fulfilling the presumption of minimal CF. The incorporation of a less restrictive condition termed as quasi-homologous (QH) condition together with the zero CF, allows us to formulate a range of exact solutions for a particular choice of f (G, T 2 ) model. We find that some of the given exact solutions relax the Darmois junction conditions and describe thin shells by satisfying the Israel conditions, while some exhibit voids by fulfilling the Darmois constraints on both boundary surfaces. Eventually, few expected applications of the provided solutions in the era of modern cosmology are debated.

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“…which is consistent with Eqs. ( 35) and (37). Now, presume the situation in which the sphere is completely filled with the fluid, i.e., we take ξ = 0.…”

Section: Novel Definition Of Velocity U and Some Additional Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

$f(\mathcal{G},T_{αβ}T^{αβ})$ Theory and Complex Cosmological Structure

Yousaf,

Bhatti,

Khan

et al. 2021

Preprint

Self Cite

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“…Therefore, different modified theories are presented to create different ways for researchers to reveal the important facts about the accelerating expansion. Some of these theories are f (R), f (R, T ), f (G), f (G, T ) and f (R, G), where R is the Ricci scalar, G is the Gauss-Bonnet (GB) term and T is the trace of energy-momentum tensor [13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

A study of cylindrically symmetric solutions in $$f(R, \phi , X)$$ theory of gravity

et al. 2022

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In this article, we aim to investigate some cylindrically symmetric solutions in a very well known modified theory named as $$f(R, \phi , X)$$ f ( R , ϕ , X ) theory of gravity, where the terms R, $$\phi $$ ϕ and X are clarified as Ricci Scalar, scalar potential, and kinetic term respectively. For this purpose, we consider the cylindrically symmetric space-time to discuss the cylindrical solutions in some realistic regions. We further discuss six distinct cases of exact solutions using the field equations of $$f(R, \phi , X)$$ f ( R , ϕ , X ) modified theory of gravity. Furthermore, we set some suitable values of $$U_0$$ U 0 and $$\alpha $$ α in $$f(R, \phi , X)=R+\alpha R^2 - V(\phi )+ X$$ f ( R , ϕ , X ) = R + α R 2 - V ( ϕ ) + X for the investigation of well-known Levi–Civita and cosmic string solutions. The Energy conditions are also investigated for all different cases and observed that null energy conditions are violated, which is the indication of the existence of cylindrical wormholes.

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“…They established a connection between Weyl scalar and kinematical quantities with the help of Taub mass formalism and discussed the consequences of the charge on the evolution of matter variables. Yousaf [16] investigated how f (G, T ) terms affect the formation of scalar functions as well as evolution equations. They dealt with a geometry linked with viscous dissipative matter content and established the relationship between Misner-Sharp mass and curvature scalar.…”

Section: Introductionmentioning

confidence: 99%

Generalized Lemaítre–Tolman–Bondi spacetime under the influence of electric charge and Palatini f(R) gravity

2021

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The objective of this article is to investigate the effects of electromagnetic field on the generalization of Lemaître–Tolman–Bondi (LTB) spacetime by keeping in view the Palatini f(R) gravity and dissipative dust fluid. For performing this analysis, we followed the strategy deployed by Herrera et al. (Phys Rev D 82(2):024021, 2010). We have explored the modified field equations along with kinematical quantities and mass function and constructed the evolution equations to study the dynamics of inhomogeneous universe along with Raychauduary and Ellis equations. We have developed the relation for Palatini f(R) scalar functions by splitting the Riemann curvature tensor orthogonally and associated them with metric coefficients using modified field equations. We have formulated these scalar functions for LTB and its generalized version, i.e., GLTB under the influence of charge. The properties of GLTB spacetime are consistent with those of the LTB geometry and the scalar functions found in both cases are comparable in the presence of charge and Palatini f(R) curvature terms. The symmetric properties of generalized LTB spacetime are also studied using streaming out and diffusion approximations.

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On the role of f (G, T) terms in structure scalars

Cited by 74 publications

References 86 publications

$f(\mathcal{G},T_{αβ}T^{αβ})$ Theory and Complex Cosmological Structure

$f(\mathcal{G},T_{αβ}T^{αβ})$ Theory and Complex Cosmological Structure

A study of cylindrically symmetric solutions in $$f(R, \phi , X)$$ theory of gravity

Generalized Lemaítre–Tolman–Bondi spacetime under the influence of electric charge and Palatini f(R) gravity

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