LTB geometry with tilted and nontilted congruences in f(R,T) gravity

Yousaf, Z.; Bhatti, M. Z.; Rafaqat, Aamna

doi:10.1142/s0218271817500997

Cited by 25 publications

(5 citation statements)

References 32 publications

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“…Herrera et al [8] obtained that five different scalar quantities from the orthogonal splitting of Riemann tensor exist in order to study the structure and evolution of self-gravitating spherical fluids. Yousaf et al [9][10][11][12][13] also found same number variables in the realm of modified gravity. They have also checked their role in the modeling Raychaudhari equations.…”

Section: Introductionmentioning

confidence: 76%

Measure of Complexity in Self-Gravitating Systems using Structure Scalars

Yousaf,

Bamba,

Bhatti

et al. 2020

Preprint

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The aim of this paper is to present the definition of complexity for static selfgravitating anisotropic matter proposed in f (G, T ) theory, where G is the Gauss-Bonnet term and T is the trace of energy momentum tensor. We evaluate field equations, Tolman-Oppenheimer-Volkoff equation, mass functions and structure scalars. Among the calculated modified scalar variables that are obtained from the orthogonal splitting of Riemann tensor, a single scalar function has been identified as the complexity factor. After exploring the corresponding Tolmann mass function, it is seen that the complexity factor along with the f (G, T ) terms have greatly influenced its formulation and its role in the subsequent radial phases of the spherical system. We have also used couple of ansatz in order to discuss possible solutions of equations of motion in the study of the structure of compact object.

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Section: Introductionmentioning

confidence: 76%

Measure of Complexity in Self-Gravitating Systems using Structure Scalars

Yousaf,

Bamba,

Bhatti

et al. 2020

Preprint

Self Cite

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“…relations. There has been very interesting works of the evolution of relativistic systems on non-comoving (tilted) frames [45][46][47][48][49][50][51]. Herrera and Santos [52] discussed that the gravitational collapse is highly dissipative phenomenon to study the physical characteristics of stellar objects.…”

Section: Interior Spacetimementioning

confidence: 99%

Dissipative self-gravitating systems in modified gravity

Bhatti

Bamba

Yousaf

et al. 2019

J. Cosmol. Astropart. Phys.

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We discuss the gravitational collapse of spherical compact objects in the background of f (R, T, Q) theory, where R represent the Ricci scalar, T is the trace of energy momentum tensor while Q ≡ R µν T µν , and investigate the influence of anisotropy and heat dissipation in this scenario. We provide an analysis on the role of distinct material terms considered while studying the dynamical equation. The dynamical equation is coupled with a heat transport equation and discussed in the background of f (R, T, Q) theory of gravity. The reduction element in the density of inertial mass, is re-acquired which is based on the internal position of thermodynamics. In collation with the equivalence relation, the reduction quantity in density is similar as appeared with gravitational force. We formulate the connection of Weyl tensor with different matter variables to see the non-identical outcomes. The inhomogeneous nature of energy density is also analyzed in the framework of modified gravity.

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“…Herrera et al [54] presented the generalization of LTB space-time by introducing tilted-congruence and explores the effects inhomogeneity of energy composition. Yousaf et al [55,56] performed the evolution of LTB geometry under the investigation of tilted-congruence with and without the influence of charged field in the perspective of MGTs. Fernandes et al [57] checked the consequences of higher derivatives corrections on LTB space-time.…”

Section: Introductionmentioning

confidence: 99%

Study of generalized Lemaître–Tolman–Bondi spacetime in Palatini f(R) gravity

et al. 2022

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The objective of this paper is to investigate the continuation of Lemaître–Tolman–Bondi (LTB) space-time for dissipative dust configuration in the direction of Palatini f(R) theory. In this context, the generalized form of field and dynamical equations will be formulated. We explore the effects of kinematical variables and curvature invariant on our proposed fluid configuration. The significance of Palatini f(R) scalar variables computing through the orthogonal splitting of Riemann-tensor for dissipative dust spheres will be reported. Furthermore, two subcases of LTB space-time have been carried out to note down its symmetric aspects. It is revealed that extended LTB space-time has characteristics comparable to that of LTB and computed scalar variables in both situations have identical dependance on source profile even under the effects of Palatini technique.

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LTB geometry with tilted and nontilted congruences in f(R,T) gravity

Cited by 25 publications

References 32 publications

Measure of Complexity in Self-Gravitating Systems using Structure Scalars

Measure of Complexity in Self-Gravitating Systems using Structure Scalars

Dissipative self-gravitating systems in modified gravity

Study of generalized Lemaître–Tolman–Bondi spacetime in Palatini f(R) gravity

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