Measure of complexity in self-gravitating systems using structure scalars

Yousaf, Z.; Bamba, Kazuharu; Bhatti, M. Z.; Hassan, Komal

doi:10.1016/j.newast.2020.101541

Cited by 30 publications

(7 citation statements)

References 66 publications

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“…He concluded that Y TF plays a role in the fixing of the complexity of relativistic systems. Applications of these results were then provided for various cosmic and stellar backgrounds, first by Herrera et al [43][44][45] and then by their followers [46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Spatially Hyperbolic Gravitating Sources in Λ-Dominated Era

Yousaf

2022

Universe

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This study focuses on the impact of the cosmological constant on hyperbolically symmetric matter configurations in a static background. I extend the work of Herrera et al. 2021. and describe the influences of such a repulsive character on a few realistic features of hyperbolical anisotropic fluids. After describing the Einstein-Λ equations of motion, I elaborate the corresponding mass function along with its conservation laws. In our study, besides observing negative energy density, I notice the formation of a Minkowskian core as matter content is compelled not to follow inward motion near the axis of symmetry. Three families of solutions are found in the Λ-dominated epoch. The first is calculated by keeping the Weyl scalar to a zero value, while the second solution maintains zero complexity in the subsequent changes of the hyperbolical compact object. However, the last model encompasses stiff fluid within the self-gravitating system. Such a type of theoretical setup suggests its direct link to study a few particular quantum scenarios where negative behavior of energy density is noticed at the Λ-dominated regime.

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Section: Introductionmentioning

confidence: 99%

Spatially Hyperbolic Gravitating Sources in Λ-Dominated Era

Yousaf

2022

Universe

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“…Alongside spherically symmetric cases, axially symmetric [25], cylindrically symmetric [26,27] fluid distributions have also been studied. The definition of complexity in GR [19,20] has been subsequently extended in several modified gravity theories as well [28][29][30][31][32][33][34][35][36][37][38][39][40]. In this work, we generate a new interior solution for compact stars by demanding the vanishing of the complexity factor at each interior point of the stellar configuration.…”

Section: Introductionmentioning

confidence: 99%

Relativistic models for vanishing complexity factor and isotropic star in embedding Class I spacetime using extended geometric deformation approach

et al. 2022

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In this work, we employ the Karmarkar condition together with the notion of vanishing complexity (Herrera in Phys Rev D 97:044010, 2018) and isotropization technique to generate models of compact stars within the framework of complete geometric deformation. Starting off with the Kuchowicz ansatz as one of the metric potentials for the seed solution, we impose the Karmarkar condition to obtain fully the gravitational behaviour of a static compact object with anisotropic pressure. This solution is then subjected to the complete geometric deformation algorithm. The novelty in our work is to impose the condition of vanishing complexity and isotropization techniques in order to derive the deformation functions. We present two solutions of the resulting governing equations which are subjected to physical viability tests. We demonstrate that the presence of pressure anisotropy within the bounded object plays a key role in determining its stability. In addition, we show that the magnitude of the decoupling constant determines the direction of energy flow between the generic fluid and the fluid matter distribution.

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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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Measure of complexity in self-gravitating systems using structure scalars

Cited by 30 publications

References 66 publications

Spatially Hyperbolic Gravitating Sources in Λ-Dominated Era

Spatially Hyperbolic Gravitating Sources in Λ-Dominated Era

Relativistic models for vanishing complexity factor and isotropic star in embedding Class I spacetime using extended geometric deformation approach

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

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