Anisotropic spheres in f (R, G)gravity with Tolman-Kuchowicz spacetime

In this paper, we review some anisotropic stellar spheres in the framework of modified f (R, G)gravity. For this purpose, we have capitalized the Tolman-Kuchowicz spacetime Tolman (1939); kuchowicz(1968). The equations of motion have been formulated by considering anisotropic matter distribution along with metric potentials, a = Br-2 + 2lnC and b = In (1 + alpha r(2) + beta r(4)). To determine the new constraints, observational data of 4U 1538 - 52,HerX - land SAX J1808.4 - 3658have been pre-owned. Dynamical equations have been evaluated by making use of Starobinsky model f (R, G) = R + lambda R-2 + G(2). Many physical aspects have been enlightened, such as energy density, pressure evolutions, adiabatic index, TOV equations and surface redshift. The credibility of our presented model has been confirmed by observing the evolution of some physical aspects and it is concluded that our system is free from all singularities and is physically stable.

Automated summary

This paper reviews anisotropic stellar spheres within the framework of modified f (R, G) gravity, formulating motion equations and evaluating dynamical equations based on anisotropic matter distribution and metric potentials. The credibility of the presented model is confirmed through the observation of physical aspects, showing freedom from singularities and physical stability in the system.