Complexity factor for self-gravitating system in modified Gauss–Bonnet gravity

Sharif, M.; Majid, Amal; Nasir, M. M. M.

doi:10.1142/s0217751x19502105

Cited by 37 publications

(21 citation statements)

References 55 publications

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“…Complexity is encoded in a structure scalar containing components from inhomogeneity, in the energy density, and local anisotropy arising from shear viscosity. Several studies have applied the ideas of Herrera [1] to general relativity [2][3][4][5][6][7][8][9][10][11], and modified gravity theories, especially Einstein-Gauss-Bonnet gravity [12]. Another general concept that may be applied to self-gravitating fluids is energy conditions [13].…”

Section: Introductionmentioning

confidence: 99%

Inhomogeneous and Radiating Composite Fluids

Brassel

Maharaj

Goswami

2021

Entropy

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We consider the energy conditions for a dissipative matter distribution. The conditions can be expressed as a system of equations for the matter variables. The energy conditions are then generalised for a composite matter distribution; a combination of viscous barotropic fluid, null dust and a null string fluid is also found in a spherically symmetric spacetime. This new system of equations comprises the energy conditions that are satisfied by a Type I fluid. The energy conditions for a Type II fluid are also presented, which are reducible to the Type I fluid only for a particular function. This treatment will assist in studying the complexity of composite relativistic fluids in particular self-gravitating systems.

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Section: Introductionmentioning

confidence: 99%

Inhomogeneous and Radiating Composite Fluids

Brassel

Maharaj

Goswami

2021

Entropy

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“…The choice ( 15) is physically reasonable as Z is regular at the centre (Z(0) = 1) and remains positive inside the stellar body. Therefore, the potential y in (12) takes the form…”

Section: Exact Solutionsmentioning

confidence: 99%

“…Several studies have been made involving complexity in models arising in general relativity [2][3][4][5][6][7][8][9][10]. Note that the idea of complexity may be applied to extended theories of gravity [11,12]. Recently Jasim et al [13] showed that a strange star in Einstein-Gauss-Bonnet gravity can be developed which is consistent with complexity.…”

Section: Introductionmentioning

confidence: 99%

A Tolman-like Compact Model with Conformal Geometry

Matondo

Maharaj

2021

Entropy

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In this investigation, we study a model of a charged anisotropic compact star by assuming a relationship between the metric functions arising from a conformal symmetry. This mechanism leads to a first-order differential equation containing pressure anisotropy and the electric field. Particular forms of the electric field intensity, combined with the Tolman VII metric, are used to solve the Einstein–Maxwell field equations. New classes of exact solutions generated are expressed in terms of elementary functions. For specific parameter values based on the physical requirements, it is shown that the model satisfies the causality, stability and energy conditions. Numerical values generated for masses, radii, central densities, surface redshifts and compactness factors are consistent with compact objects such as PSR J1614-2230 and SMC X-1.

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“…This function adjusts the values by assigning a mass to the scalar field ( ) which leads to an extension of BD gravity known as self-interacting BD (SBD) theory. Sharif and Manzoor formulated structure scalars to study the evolution of dynamical spheres [27,28] and cylinders [29,30,[35][36][37][38] in SBD theory. Recently, the complexity of different geometries has also been explored by employing Herrera's definition and it was shown that complexity of the self-gravitating structures increases in the presence of a massive scalar field [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Complexity of dynamical sphere in self-interacting Brans–Dicke gravity

Sharif

Majid

2020

Eur. Phys. J. C

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This paper aims to derive a definition of complexity for a dynamic spherical system in the background of self-interacting Brans–Dicke gravity. We measure complexity of the structure in terms of inhomogeneous energy density, anisotropic pressure and massive scalar field. For this purpose, we formulate structure scalars by orthogonally splitting the Riemann tensor. We show that self-gravitating models collapsing homologously follow the simplest mode of evolution. Furthermore, we demonstrate the effect of scalar field on the complexity and evolution of non-dissipative as well as dissipative systems. The criteria under which the system deviates from the initial state of zero complexity is also discussed. It is concluded that complexity of the sphere increases in self-interacting Brans–Dicke gravity because the homologous model is not shear-free.

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Complexity factor for self-gravitating system in modified Gauss–Bonnet gravity

Cited by 37 publications

References 55 publications

Inhomogeneous and Radiating Composite Fluids

Inhomogeneous and Radiating Composite Fluids

A Tolman-like Compact Model with Conformal Geometry

Complexity of dynamical sphere in self-interacting Brans–Dicke gravity

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