Spatially Hyperbolic Gravitating Sources in Λ-Dominated Era

Abstract

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.

Gaussian curvature of spherical shells: a geometric measure of complexity

“…Recent studies in complexity include gravitational collapse, embedding, gravitational coupling and static irrotational matter [13,[28][29][30], in radiating stars in general relativity. Some other recent works on complexity in self-gravitaing systems are contained in the works [31][32][33][34][35].…”

Anisotropic Stellar Systems in f(R)$f(R)$ Connected Static Spacetime

“…They found a few arena of spacetime where such CS are likely to exists. Yousaf and his collaborators [44][45][46][47] provided a general platform to analyze less complex astronomical structures within the background of extra curvature ingredients. Blázquez-Salcedo et al [48] analyzed the black hole shadows within a specific quasi-normal backgrounds.…”

Significance of Charge on the Dynamics of Hyperbolically Distributed Fluids

“…Reissner-Nordström (RN) [17,18] for charged static black holes, Kerr for rotating black holes [19], and Kerr-Newman [20] for charged rotating black holes were later proposed as black hole solutions to the EFE. Harrison [21] was the first one to derive alternative solution to Einstein equations of the sort characterized by hyperbolic symmetry, it has since become the subject of investigation in several disciplines [22][23][24][25][26][27][28][29][30][31][32][33][34][35].…”