Anisotropic spheres in [formula omitted]gravity with Tolman-Kuchowicz spacetime.

• The compact stars Construction with Tolman-Kuchowicz Spacetime in f (R , G) Gravity is discussed. • The anisotropic source of matter has considered for this study. • By making use of field equations, many physical aspects have been discussed. • Some physical aspects are explored under the particular parametric values. 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 = B r 2 + 2 l n C and b = l n (1 + α r 2 + β r 4). To determine the new constraints, observational data of 4 U 1538 − 52 , H e r X − 1 and S A X J 1808.4 − 3658 have been pre-owned. Dynamical equations have been evaluated by making use of Starobinsky model f (R , G) = R + λ 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. [ABSTRACT FROM AUTHOR]