Study of Anisotropic Fluid Distributed Hyperbolically in f(R,T,Q) Gravity

The core of this manuscript is to conduct a broad investigation into the features of static matter configurations with hyperbolical symmetry, which might possibly serve as formation of corresponding spacetime within the limits of f(R,T,Q) gravity, where (Q =R alpha sigma T alpha sigma). We recognize that such matter distributions can be anisotropic in pressure, with just two primary stresses unequal and a negative energy density. Usually, negative matter densities are suggested in extreme cosmological and astrophysical situations, particularly with regard to quantum occurrences that might occur within the horizon. Eventually, we construct a generic formalism that allows every static hyperbolically symmetric (HS) fluid solution to be expressed with respect to two generating functions (GFs).

Automated summary

The core objective of this manuscript is to conduct a comprehensive investigation into the characteristics of static matter configurations with hyperbolic symmetry, which may potentially serve as the formation of corresponding spacetime within f(R,T,Q) gravity. We find that such matter distributions exhibit anisotropic pressure, with only two unequal primary stresses and a negative energy density. Negative matter densities are commonly suggested in extreme cosmological and astrophysical scenarios, especially with regards to quantum phenomena occurring within the horizon. Ultimately, we establish a generic formalism that allows the expression of any static hyperbolically symmetric (HS) fluid solution in terms of two generating functions (GFs).