Information theoretical methods as discerning quantifiers of the equations of state of neutron stars

Avellar, Marcio G. B. de; Souza, Rodrigo Alvares de; Horvath, J. E.; Paret, D. Manreza

doi:10.1016/j.physleta.2014.10.011

Cited by 53 publications

(22 citation statements)

References 30 publications

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“…A definition of complexity for self-gravitating systems is introduced in [11] which is based on the work developed by Lopez-Ruiz and his collaborators [6]. In this definition, probability distribution which appear in the definition of entropy and information is replaced by energy density of the fluids, which has been justified by the argument that this physical quantity is related to the probability of finding some particles at given specified location inside the star, or it proved difficult to suggest a better alternative from the available physical quantities.…”

Section: Introductionmentioning

confidence: 99%

Complexity analysis of cylindrically symmetric self-gravitating dynamical system in f(R,T) theory of gravity

Zubair

Azmat

2020

Physics of the Dark Universe

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In this article, we have studied a cylindrically symmetric self-gravitating dynamical object via complexity factor which is obtained through orthogonal splitting of Reimann tensor in f (R, T) theory of gravity. Our study is based on the definition of complexity for dynamical sources, proposed by Herrera [14]. We actually want to analyze the behavior of complexity factor for cylindrically symmetric dynamical source in modified theory. For this, we define the scalar functions through orthogonal splitting of Reimann tensor in f (R, T) gravity and work out structure scalars for cylindrical geometry. We evaluated the complexity of the structure and also analyzed the complexity of the evolutionary patterns of the system under consideration. In order to present simplest mode of evolution, we explored homologous condition and homogeneous expansion condition in f (R, T) gravity and discussed dynamics and kinematics in the background of a generic viable non-minimally coupled f (R, T) = α1R m T n + α2T (1 + α3T p R q) model. In order to make a comprehensive analysis, we considered three different cases (representing both minimal and non-minimal coupling) of the model under consideration and found that complexity of a system is increased in the presence of higher order curvature terms, even in the simplest modes of evolution. However, higher order trace terms affects the complexity of the system but they are not crucial for simplest modes of evolution in the case of minimal coupling. The stability of vanishing of complexity factor has also been discussed.

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Section: Introductionmentioning

confidence: 99%

Complexity analysis of cylindrically symmetric self-gravitating dynamical system in f(R,T) theory of gravity

Zubair

Azmat

2020

Physics of the Dark Universe

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“…The definition of disequilibrium and information which include probability distribution is redefined in [12]- [17] by the term energy density in the fluid distribution. However, the term energy density is not enough to describe the phenomenon of complexity because the pressure is absent which appears in the energy-momentum tensor and plays a vital role in the structure formation of the fluid distribution.…”

Section: Introductionmentioning

confidence: 99%

“…In literature [12]- [17], the idea of complexity has also been applied to the self-gravitating systems like neutron stars and white dwarfs. Recently, Herrera [18] introduced a quite different definition of complexity for a selfgravitating system.…”

Section: Introductionmentioning

confidence: 99%

Complexity factor for charged spherical system

Sharif

Butt

2018

Eur. Phys. J. C

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In this paper, we study the complexity factor for a charged anisotropic self-gravitating object. We formulate the Einstein-Maxwell field equations, Tolman-Opphenheimer-Volkoff equation, and the mass function. We form the structure scalars by the orthogonal splitting of the Riemann tensor and then find the complexity factor with the help of these scalars. Finally, we investigate some astrophysical objects for the vanishing of complexity condition. It is found that the presence of the electromagnetic field decreases the complexity of the system.

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“…According to this definition, the two systems (ideal gas and a perfect crystal) have zero complexity. The complexity of neutron stars and white dwarfs has been computed by using energy density in place of probability distribution in the above definition [9][10][11][12].…”

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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Information theoretical methods as discerning quantifiers of the equations of state of neutron stars

Cited by 53 publications

References 30 publications

Complexity analysis of cylindrically symmetric self-gravitating dynamical system in f(R,T) theory of gravity

Complexity analysis of cylindrically symmetric self-gravitating dynamical system in f(R,T) theory of gravity

Complexity factor for charged spherical system

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

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