Consequences of electric charge on anisotropic hyperbolically symmetric static spacetime

Abstract

The investigation of hyperbolically symmetric sources under the impact of electromagnetic field is conducted in this paper, with a focus on the fluid distributed in static spacetime. To do this, we choose the metric $f(R)$ gravity. It is observed that the fluid does not have the capacity to occupy the space surrounding the center, meaning that it exhibits cavity around the core. Furthermore, calculating the energy density indicates that it is invariably negative in the presence of correction terms, which might be crucial in comprehending certain quantum field occurrences, due to the fact that negative energies are directly tied with the quantum field theory. In this modified gravity, we implement the orthogonal splitting of the curvature tensor and derive the structure scalars. Following that, some cosmological models exhibiting the hyperbolical symmetry as well as their substantial determinants are investigated using two generating functions. The model of less-complex relativistic system of Einstein gravity is offered to explore precisely the role of $f(R)$ terms under the influence of electromagnetic field.

Stellar models with like-Wyman IIa complexity factor

“…In particular, the complexity criteria is a cutting-edge instrument that enables us to create new anisotropic solutions, as a result of which new solutions have recently been found given the use of this factor in [90][91][92][93][94][95][96][97][98][99][100][101][102][103]. But also, this definition is so adequate that it has allowed to carry out, its implementation on the study of black holes in the framework of the Newman-Penrose formalism [104], construct traversable wormholes geometries [105,106], an study of the departure from spheroidicity of self-gravitating spheres [107], its extension for the time dependent case [108], the study of the dynamics of the gravitational collapse of a compact object [109], for study of axially symmetric systems [110,111], for the study of cylindrical fluid systems [112][113][114], even it has been used in the study of symmetric hyperbolical fluids [115][116][117][118][119][120][121][122][123][124][125][126][127][128], among others. This paper is organized as follows: In Sect.…”

Complexity of charged anisotropic spherically symmetric fluids in f() gravity

“…They also discussed the correspondence of these cosmologically feasible  ( ) f models with Solar system constraints [9]. One may read the articles [10][11][12][13][14][15][16][17][18] for additional information on the modified gravity theories and dark energy. The term 'system' is based on the Latin word ' ē syst ma.'…”

Significance of Charge on the Dynamics of Hyperbolically Distributed Fluids

“…Yousaf et al [51][52][53][54] examined the anisotropic static fluid distributed hyperbolically in the framework of different modified theories. They carried out this analysis both in the presence as well as in the absence of charge.…”