Dynamics of Shearfree Dissipative Collapse in f(G) Gravity

Abstract

In this paper, we study the dynamics of shearfree dissipative gravitational collapse in modified Gauss-Bonnet theory of gravity - so called f(G) gravity. The field equations of f(G) gravity are applied to shearfree spherical interior geometry of the dissipative star. We formulate the dynamical as well as transport equations and then couple them to investigate the process of collapse. We conclude that the gravitational force in this theory is much stronger as compared to general relativity which indicates increase in the rate of collapse. Further, the relation between the Weyl tensor and matter components is established. This shows that for constant f(G) the vanishing of the Weyl scalar leads to the homogeneity in energy density and vice versa.