Hyperbolically symmetric sources in f (R, T) gravity

This paper studies the static fluid distributions admitting the hyperbolically symmetric structure by extending the work of Herrera et al. (2021) in f (R, T) gravity. The unavailability of the fluid distribution in the region which is close to the center of symmetry has been observed. A vacuum cavity can be used to depict this region around the center. The effective matter density emerges inevitably to be negative and this implies that the conceivable use of such fluids needs transcendental physical conditions when the significant quantum effects are observed. Furthermore, the Tolman mass, as well as an appropriate for-mulation of the mass function, are particularly computed. Along with this, we evaluated the structure scalars through the orthog-onal splitting of the Riemann tensor in this modified gravity. Imposing the conditions of conformal flatness and stiff equation of state, we constructed several models for the less-complex systems. We also evaluated the generating functions to study the fluid distribution in this theory. A general hypothesis to attain precise solutions are also conferred through matter-curvature coupling.(c) 2022 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the static fluid distributions with hyperbolically symmetric structure in f (R, T) gravity. It observes that the fluid distribution is unavailable near the center of symmetry and suggests using a vacuum cavity to depict this region. The study computes the Tolman mass and mass function, evaluates the structure scalars using the orthogonal splitting of the Riemann tensor, and constructs models for less-complex systems by imposing conditions of conformal flatness and stiff equation of state. The paper also proposes a general hypothesis for obtaining precise solutions through matter-curvature coupling.