Evolution of inhomogeneous LTB geometry with tilted congruence and modified gravity

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

doi:10.1139/cjp-2017-0214

Cited by 12 publications

(4 citation statements)

References 84 publications

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“…Bamba et al [42] calculated the rate of spherical collapse in MTG and discussed some various characteristics of curvature singularity during its collapse. Yousaf et al studied the role of tilted congruences [43,44] as well as MTG on the existence of regular energy density [45,46], and pace of gravitational collapse [47][48][49]. They inferred that extra curvature terms due to MTG tend to slow the collapse process.…”

Section: Introductionmentioning

confidence: 99%

Definition of complexity factor for self-gravitating systems in Palatini f(R) gravity

Yousaf

2020

Phys. Scr.

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The aim of this paper is to explore the complexity factor for those self-gravitating relativistic spheres whose evolution proceeds non- dynamically. We are adopting the definition of CF mentioned in (Herrera 2018 Phys. Rev. D 97, 044010), modifying it to the static spherically symmetric case, within the framework of a modified gravity theory (the Palatini f(R) theory). In this respect, we have considered radial dependent anisotropic matter content coupled with spherical geometry and determined the complexity factor involved in the patterns of radial evolution. We shall explore the field and a well-known Tolman-Oppenheimer-Volkoff equations. After introducing structure scalars from the orthogonal decomposition of the Riemann tensor, we shall calculate complexity factor. An exact analytical model is presented by considering firstly ansatz provided by Gokhroo and Mehra. The role of matter variables and f(R) terms are analyzed in the structure formation as well as their evolution through a complexity factor.

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Section: Introductionmentioning

confidence: 99%

Definition of complexity factor for self-gravitating systems in Palatini f(R) gravity

Yousaf

2020

Phys. Scr.

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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: 75%

Measure of Complexity in Self-Gravitating Systems using Structure Scalars

Yousaf,

Bamba,

Bhatti

et al. 2020

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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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“…These scalars can be determined from the orthogonal breaking down of the Riemann curvature tensor. The role of structural variables on the dynamical instability and irregularity factors of relativistic geometric populations with matter distribution have been investigated by [44]. They concluded that the factors which control the stability and inhomogeneities of the corresponding systems are energy density, modified curvature terms and pressure.…”

Section: Introductionmentioning

confidence: 99%

Stable Charged Radiating Systems Associated with Tilted Observers

Yousaf

2021

Preprint

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This paper is aimed to study the influence of electromagnetic field and tilted congruences on the dynamical features of self-gravitating system. We shall explore the stability of homogeneous energy density in the background of Maxwell-Palatini f (R) gravity. In this respect, we have considered an irrotational non-static planar geometry which is assumed to have two different types of gravitating sources. The role of tilted congruences and the geodesic motion of an evolving system is studied through the divergence of the entropy vector field. The condition for the emergence of Minskoskian cavity is also explored. In order to connect tilted and non-tilted reference frames with inflationary and inverse Ricci scalar corrections in the charged medium, few well-consistent relations are presented. It is concluded that effective electric charge is trying to increase the stability of regular energy density of the planar system.

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Evolution of inhomogeneous LTB geometry with tilted congruence and modified gravity

Cited by 12 publications

References 84 publications

Definition of complexity factor for self-gravitating systems in Palatini f(R) gravity

Definition of complexity factor for self-gravitating systems in Palatini f(R) gravity

Measure of Complexity in Self-Gravitating Systems using Structure Scalars

Stable Charged Radiating Systems Associated with Tilted Observers

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