Complexity for self-gravitating fluid distributions in f(G, T) gravity

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

doi:10.1140/epjp/s13360-020-00408-6

Cited by 43 publications

(23 citation statements)

References 53 publications

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“…Not only for static but also in the non-static case, the structure scalar Y TF has been identified as the complexity factor in GR [42,43]. This result has also been found applicable in various modified theories of gravity [46,47]. One can study the non-complex Bondi as well as axially symmetric solutions by keeping Y TF = 0 [44,45].…”

Section: Non-complex Hss Modelmentioning

confidence: 73%

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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: Non-complex Hss Modelmentioning

confidence: 73%

“…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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“…Alternatively,

illustrates how these two variables change the value of the Tolman mass, comparable to its value for the homogeneous isotropic fluid. This sparked the idea of complexity, which was discussed in [ 54 , 55 , 56 , 57 , 58 , 59 , 60 ].…”

Section: Orthogonal Splitting Of Curvature Tensorsmentioning

confidence: 99%

A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity

Yousaf

Bhatti

Khlopov

et al. 2022

Entropy

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This paper is devoted to understanding a few characteristics of static irrotational matter content that assumes hyperbolical symmetry. For this purpose, we use metric f(R) gravity to carry out our analysis. It is noticed that the matter distribution cannot fill the region close to the center of symmetry, thereby implying the existence of an empty core. Moreover, the evaluation of the effective energy density reveals that it is inevitably negative, which could have utmost relevance in understanding various quantum field events. To derive the structure scalars, we perform the orthogonal splitting of the Riemann tensor in this modified gravity. Few relationships among matter variables and both Tolman and Misner Sharp are determined. Through two generating functions, some hyperbolically symmetric cosmological models, as well as their physical interpretations, are studied. To delve deeply into the role of f(R) terms, the model of the less-complex relativistic system of Einstein gravity is presented.

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“…Complexity factors have been derived for different symmetries and matter distributions in the background of other modified theories as well [23]. Recently, Yousaf et al [24] checked the behavior of complexity factor in the context of f (G, T ) gravity for charged as well as uncharged static sphere and concluded that complexity increases in both scenarios. It is interesting to mention here that the definition of complexity given in [15] is not associated to entropy and information, instead it is based on the premise that the simplest system is characterized by the isotropic pressure in homogeneous matter distribution.…”

Section: Introductionmentioning

confidence: 99%

Complexity for Dynamical Anisotropic Sphere in f(G,T) Gravity

Sharif,

Hassan

2021

Preprint

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This paper is devoted to the formulation of a complexity factor for dynamical anisotropic sphere in the framework of f (G, T ) gravity, where G is the Gauss-Bonnet invariant and T is the trace of energymomentum tensor. Inhomogeneous energy density, anisotropic pressure, heat dissipation and modified terms create complexity within the self-gravitating system. We evaluate the structure scalars by orthogonal splitting of the Riemann tensor to evaluate a complexity factor which incorporates all the fundamental properties of the system. Moreover, we examine the dynamics of the sphere by assuming homologous mode as the simplest pattern of evolution. We also discuss dissipative as well as non-dissipative scenarios corresponding to homologous and complexity free conditions. Finally, we establish a criterion under which the complexity free condition remains stable throughout the process of evolution. We conclude that the presence of dark source terms of f (G, T ) gravity increase the system's complexity.

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Complexity for self-gravitating fluid distributions in f(G, T) gravity

Cited by 43 publications

References 53 publications

Spatially Hyperbolic Gravitating Sources in Λ-Dominated Era

Spatially Hyperbolic Gravitating Sources in Λ-Dominated Era

A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity

Complexity for Dynamical Anisotropic Sphere in f(G,T) Gravity

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