Study of Decoupled Anisotropic Solutions in f(R, T, RρηTρη) Theory

In this paper, we consider isotropic solution and extend it to two different exact well-behaved spherical anisotropic solutions through minimal geometric deformation method in f(R,T,R rho eta T rho eta) gravity. We only deform the radial metric component that separates the field equations into two sets corresponding to their original sources. The first set corresponds to perfect matter distribution while the other set exhibits the effects of additional source, i.e., anisotropy. The isotropic system is resolved by assuming the metric potentials proposed by Krori-Barua while the second set needs one constraint to be solved. The physical acceptability and consistency of the obtained solutions are analyzed through graphical analysis of effective matter components and energy bounds. We also examine mass, surface redshift and compactness of the resulting solutions. For particular values of the decoupling parameter, our both solutions turn out to be viable and stable. We conclude that this curvature-matter coupling gravity provides more stable solutions corresponding to a self-gravitating geometry.

Automated summary

In this paper, the isotropic solution is extended to two different anisotropic solutions through minimal geometric deformation method in f(R,T,R rho eta T rho eta) gravity. The physical acceptability and stability of the obtained solutions are analyzed, and it is concluded that this curvature-matter coupling gravity provides more stable solutions corresponding to a self-gravitating geometry.