A Note on the Strong Hyperbolicity of $f(R)$ Gravity with Dynamical Shifts

Cao, Li-Ming; Wu, Liang-Bi

doi:10.48550/arxiv.2112.07336

Cited by 2 publications

(2 citation statements)

References 39 publications

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“…Malik et al [55] gave a few numerical solutions after solving the associated differential equations to represent the distribution of hyperbolically symmetric matter throughout the cylindrical geometry. Cao and Wu [56] analyzed the occurrence of strong hyperbolicity under certain gauge restrictions by taking into consideration metric f (R) gravity.…”

Section: Introductionmentioning

confidence: 99%

Significance of Charge on the Dynamics of Hyperbolically Distributed Fluids

et al. 2022

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This manuscript is devoted to analyze hyperbolically symmetric non-static fluid distribution incorporated with heat flux and electromagnetic field. We have developed a general framework in order to examine the dynamic regime of the matter configuration which eventually results in the static spacetime. With the aim of doing this, we constructed the Einstein-Maxwell (EM) field equations and obtained the conservation equation. Furthermore, the formulation of mass function indicates the presence of the negative energy density, which leads towards the significant quantum implications. Taking into account the transport equation, we have observed the thermodynamical attributes of the fluid. Additionally, quasi- homologous constraint has been utilized to construct several models. We have deduced the worthwhile applications of the astrophysical objects by evaluating several analytical solutions in terms of the kinematical variables.

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Section: Introductionmentioning

confidence: 99%

Significance of Charge on the Dynamics of Hyperbolically Distributed Fluids

et al. 2022

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“…Miguel [26] studied few characteristics of HSS and found the non-convex Cauchy temporal function for the conformal families of solutions. Cao and Wu [27] considered the metric version of f (R) gravity and discussed the occurrence of strong hyperbolicity under some specific gauge constraints. Recently, Herrera et al [1] carried out a brief study on HSS after calculating conformally flat and zero complexity solutions.…”

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confidence: 99%

Spatially Hyperbolic Gravitating Sources in $Λ$-Dominated Era

Yousaf

2022

Preprint

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This study focuses on the impact of cosmological constant on hyperbolically symmetric matter configurations in static background. We extend the work of Herrera [1] and describe the influences of such repulsive character on a few realistic features of hyperbolical anisotropic fluids. After describing Einstein-Λ equations of motion, we elaborated the corresponding mass function along with its conservation laws. In our study, besides observing negative energy density, we notice the formation of Minkowskian core as matter content is compelled itself not to follow inward motion near the axis of symmetry. Three families of solution are found in Λ-dominated epoch. First is calculated by keeping zero value to Weyl scalar, 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 type of theoretical setup suggests its direct link to study a few particular quantum scenarios where negative behavior of energy density is noticed at Λ dominated regime.

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A Note on the Strong Hyperbolicity of $f(R)$ Gravity with Dynamical Shifts

Cited by 2 publications

References 39 publications

Significance of Charge on the Dynamics of Hyperbolically Distributed Fluids

Significance of Charge on the Dynamics of Hyperbolically Distributed Fluids

Spatially Hyperbolic Gravitating Sources in $Λ$-Dominated Era

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