Complexity factor for static cylindrical objects in f(G, T) gravity

Sharif, M.; Hassan, Komal

doi:10.1007/s12043-022-02298-y

Cited by 13 publications

(7 citation statements)

References 47 publications

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“…5, it is evident that our radiating model suffers from instability towards the centre and instability appears to grow as the collapse proceeds. This is in contrast to the adiabatic case in which isotropic pressure and homogeneous energy density lead to the stability of the vanishing complexity condition [28]. It has been noted that the condition of zero complexity is affected by heat dissipation [29] and initial investigations into non-vanishing complexity for self-gravitating systems have recently been made [12].…”

Section: Discussionmentioning

confidence: 98%

Implications for vanishing complexity in dynamical spherically symmetric dissipative self-gravitating fluids

2022

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The complexity factor, originally based on a probabilistic description of a physical system, was re-defined by Herrera et al. for relativistic systems. This involves an assessment of the energy density inhomogeneity, anisotropic and shear stresses, and in the case of radiating collapse, the effects of heat flux. Already well integrated into the modelling of static configurations, the complexity factor is now being studied with respect to dynamical, self-gravitating systems. For static systems, the constraint of vanishing complexity is typically used however for the non-static case, the physical viability of the vanishing condition is less clear. To this end, we consider the ideal case of vanishing complexity in order to solve for the time-dependent gravitational potentials and generate models. We find that vanishing complexity constrains the metric to be of a form similar to that of Maiti’s conformally flat metric.

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Section: Discussionmentioning

confidence: 98%

Implications for vanishing complexity in dynamical spherically symmetric dissipative self-gravitating fluids

2022

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“…In this section, some physical entities are analyzed to choose the simplest possible evolutionary mode. Equation (22) along with the homologous condition (47) give…”

Section: Some Kinematical and Dynamical Considerationsmentioning

confidence: 99%

“…We have considered two simplest evolutionary patterns for self-gravitating dynamical structure, i.e., homogeneous expansion and homologous evolution, and studied them in modified gravity. We have constructed the possible solutions for metric potentials in the case of dissipation as well as non-dissipation with the help of homologous condition (47) and Y T F = 0. We have also discussed several factors under which the system deviates from complexity-free scenario.…”

Section: Final Remarksmentioning

confidence: 99%

“…Sharif and Majid [42]- [44] found several solutions for self-gravitating systems by extending this definition in Brans-Dicke scenario. The complexity for anisotropic configurations has also been analyzed in the context of f (R, T ) and f (G, T ) theories [45]- [47]. This article addresses evolution and complex composition of the charged dynamical cylinder involving the effects of heat dissipation in f (R, T , R ϕϑ T ϕϑ ) gravity.…”

Section: Introductionmentioning

confidence: 99%

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Complexity analysis of charged dynamical dissipative cylindrical structure in modified gravity

Sharif

Naseer

2022

Eur. Phys. J. Plus

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This article focuses on the formulation of some scalar factors which are uniquely expressed in terms of matter variables for dynamical charged dissipative cylindrical geometry in a standard gravity model R + ΦQ (Φ is the coupling parameter, Q = R ϕϑ T ϕϑ ) and calculates four scalars by orthogonally decomposing the Riemann tensor. We find that only Y T F involves inhomogeneous energy density, heat flux, charge and pressure anisotropy coupled with modified corrections, and thus call it as complexity factor for the considered distribution. Two evolutionary modes are discussed to study the dynamics of cylinder. We then take the homologous condition with Y T F = 0 to calculate unknown metric potentials in the absence as well as presence of heat dissipation. The stability criterion of the later condition is also checked throughout the evolution by applying some constraints. We conclude that the effects of charge and modified theory yield more complex system.

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“…Additional applications of the concept of complexity and information measures may be found in Refs. [13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Configurational entropy as a probe of the stability condition of compact objects

Koliogiannis¹,

Tsalis²,

Panos³

et al. 2022

Preprint

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We systematically explore the statement that the configurational entropy provides an alternative approach to studying gravitational stability of compact objects, carried out in the previous work of M. Gleiser and N. Jiang, Phys. Rev. D 92, 044046 (2015). To guarantee the accuracy of the calculations, we first employ two analytical solutions of the Tolman-Oppenheimer-Volkoff equations, i.e. the Uniform and the Tolman VII. The predictions of the analytical solutions are compared to the corresponding numerical calculations, paying special attention on the use of the Fourier transform, which plays the major role for the connection of the configurational entropy to the bulk neutron star properties. Afterwards, we extend our study in order to include a large set of realistic equations of state. All of them are used extensively in the literature for compact star studies. In particular, we focus on neutron stars, quark stars, as well as on the the third family of compact stars (hybrid stars), where a possible phase transition may lead to the existence of twin stars (stars with equal mass but different radius). We found that a general rule to relate the stability region obtained from the traditional perturbation methods to the one obtained by the minimum of configurational entropy, does not hold. We found only one case which confirms this statement, that is the configuration corresponding to the free Fermi gas equation of state. We conclude that the suggested prediction of the stability by the minimization of the configurational entropy, concerning various compact objects, is rather a conjecture that does not have any basis on theoretical arguments and, even more, is not confirmed either empirically.

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Complexity factor for static cylindrical objects in f(G, T) gravity

Cited by 13 publications

References 47 publications

Implications for vanishing complexity in dynamical spherically symmetric dissipative self-gravitating fluids

Implications for vanishing complexity in dynamical spherically symmetric dissipative self-gravitating fluids

Complexity analysis of charged dynamical dissipative cylindrical structure in modified gravity

Configurational entropy as a probe of the stability condition of compact objects

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