Compact Stars with Modified Gauss–Bonnet Tolman–Oppenheimer–Volkoff Equation

We study compact stars for f ( ) gravity model using modified Tolman–Oppenheimer–Volkoff equation. Firstly, the hydrostatic equilibrium equations have been developed in the context of f ( ) gravity. Secondly, the profiles of energy density, pressure and mass of stars are investigated through two different equations of state models, p = ωρ 5/3 and p = a (ρ – 4 b ), ρ being the energy density, ω, a and b are the specific constants. For f ( ) = α model with α being an arbitrary constant, the physical attributes of the compact objects have been discussed for the different values of model parameter α. It is concluded that in the framework of f ( ) gravity, neutron and strange stars follow physically accepted patterns and the results agree with those already available in literature.