Spherical collapse with heat dissipation in f(R,T,RμνTμν) gravity

Bhatti, M. Z.; Yousaf, Z.; Nawaz, M.

doi:10.1142/s0219887820500176

Cited by 16 publications

(6 citation statements)

References 55 publications

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“…They evaluated anisotropic dynamical source and determined the relating generalized scalars to check out the their effects on the systematic description of radiating stars. Bhatti et al [45][46][47] computed the f (R) scalars for the physical manifestation of various gravitating bodies and formulated the stellar consequences via scalar functions to explore the physical aspects of matter configurations. They also developed static-solutions to entail the influence of f (R) version of scalars.…”

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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Section: Introductionmentioning

confidence: 99%

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

et al. 2022

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“…The investigation of dynamical characteristics of selfgravitating body is a key problem. Therefore, the study of gravitational collapse has gained wide attention in Einstein gravity theory [35,36] as well as in MGTs [37,38]. Herrera and collaborators [39,40] explored Some dynamical structures for cylindrical as well as spherical collapsing fluids after the evaluation of matching conditions.…”

Section: Introductionmentioning

confidence: 99%

Quasi Static Evolution of Compact Objects in Modified Gravity

Yousaf,

Bamba,

Bhatti

et al. 2022

Preprint

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In this paper, the quasi static-approximation on the hydrodynamics of compact objects is proposed in f (R, T ) gravity, where R is the scalar curvature and T is the trace of stress-energy tensor, by exploring the axial and reflection symmetric space time stuffed with anisotropic and dissipative matter contents. The set of invariant-velocities is defined to comprehend the concept of quasi static-approximation. As a consequence, the evolution of compact objects is shown by analyzing the corresponding modified field, dynamical and scalar equations in this approximation to evoke all the feasible outcomes. Furthermore, the significance of kinematical quantities, modified heat-fluxes and scalar variables are found through the proposed approximation.

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“…They found that the scalar functions are related to fluid properties and Einstein's solutions can be written in terms of these scalars for the static case. Bhatti and his collaborators [31][32][33] explored these scalar functions for self-gravitating objects in f (R) gravity and formulated the stellar equations associated with structure scalars to study the properties of fluid distribution. They considered static solutions to reveal the consequences of scalar functions in the framework of f (R) gravity.…”

Section: Introductionmentioning

confidence: 99%

Study of Generalized Lema\^ıtre-Tolman-Bondi Spacetime in Palatini $f(R)$ Gravity

Bhatti¹,

Yousaf²,

Hussain³

2021

Preprint

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This paper aims to analyze the generalization of Lemaître-Tolman-Bondi (LTB) spacetime for dissipative dust under the influence of Palatini f (R) gravity. We explore the modified field equations, kinematical variables and mass function in this scenario. We construct Bianchi identities using conservation and differential equations for shear, expansion and curvature scalar in the background of Palatini f (R) gravity. We calculated the scalar functions coming from the orthogonal decomposition of Riemann tensor in this framework. These scalar functions known as structure scalars have been explored for LTB spacetime using modified field equations. The symmetric properties of LTB spacetime have been discussed using two subcases. We found that generalized LTB spacetime has properties comparable with LTB and obtained structure scalars in both cases which have similar dependence on material profile even in Palatini gravity.

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Spherical collapse with heat dissipation in f(R,T,RμνTμν) gravity

Cited by 16 publications

References 55 publications

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

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

Quasi Static Evolution of Compact Objects in Modified Gravity

Study of Generalized Lema\^ıtre-Tolman-Bondi Spacetime in Palatini $f(R)$ Gravity

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