Abstract
A thorough examination of static hyperbolically symmetric matter configuration in the context of Palatini f(R) gravitational theory has been carried out in this manuscript. Following the work of Herrera et al. (Phys. Rev. D 103: 024037, 2021) we worked out the modified gravitational equations and matching conditions using the Palatini technique of variation in Einstein–Hilbert action. It is found from the evaluations that the energy density along with the contribution of dark source terms is inevitably negative which is quite useful in explaining several quantum field effects, because negative energies are closely linked with the quantum field theory. Such negative energies may also assist in time-travel to the past and formation of artificial wormholes. Furthermore, we evaluated the algebraic expressions for the mass of interior hyperbolical geometry and total energy budget, i.e., the Tolman mass of the considered source. Also, the structure scalars are evaluated to analyze the properties of matter configuration. Few analytical techniques are also presented by considering several cases to exhibit the exact analytical static solutions of the modified gravitational equations.
Highlights
The dilemma of present-day accelerated expansion of the universe, i.e., the dark energy problem is an elementary issue in theoretical physics of modern history
The fascinating mysteries of the universe like blackholes, gravitational waves and wormholes exist in this theory [34– 36]
It incorporate no additional degrees of freedom instead, the dynamical equations are changed by the addition of new terms indicating the curvature amendments of the theory
Summary
The dilemma of present-day accelerated expansion of the universe, i.e., the dark energy problem is an elementary issue in theoretical physics of modern history. Bhatti et al [22,23] constructed the modified structure scalars for spherically symmetric dissipative system by taking into account the Palatini f (R) gravity theory from the point of view of a tilted observer with and without the presence of electromagnetic force. They evaluated certain dynamical equations including the Raychaudhuri equation and the Bianchi identities. Tariq et al [27] explored the pressure isotropy condition for a spherically symmetric dissipative astronomical system in the background of Palatini f (R) gravity by working out a differential equation for Weyl scalar They demonstrated that the factors like energy density, shear stress and dissipative flux are responsible for inducing the pressure anisotropy in the system.
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