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

Abstract

We study compact stars for f($\mathcal{G}$) gravity model using modified Tolman–Oppenheimer–Volkoff equation. Firstly, the hydrostatic equilibrium equations have been developed in the context of f($\mathcal{G}$) 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 – 4b), ρ being the energy density, ω, a and b are the specific constants. For f($\mathcal{G}$) = α${{\mathcal{G}}^{2}}$ 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($\mathcal{G}$) gravity, neutron and strange stars follow physically accepted patterns and the results agree with those already available in literature.