Bouncing universe in f(G,T) gravity

Abstract

This paper is devoted to investigating the oscillating universe in f ( G , T ) gravity, where G is the Gauss–Bonnet term and T is the trace of energy–momentum tensor. Purpose of this paper is twofold: First, we consider a Gauss–Bonnet cosmological model with logarithmic trace term. We explore the possibility of bouncing solutions by choosing a well-known equation of state parameter. Secondly, we consider a Gauss–Bonnet cosmological model with linear trace term. A detailed graphical analysis is done for analyzing the bouncing universe for both models. The energy conditions are studied for both the cases. It is worthwhile to notice that null and strong energy conditions are violated near the neighborhood of bouncing points justifying the accelerating universe in the light of the recent observational data. The behavior of Hubble and deceleration parameters is also examined. An initial and a future bounce is predicted for both the cases. Most important attribute of the present study is the discussion of conservation equation in the context of modified theories of gravity. Possibility of some suitable constraint equation has been argued which may recover the usual general relativity conservation equation. All the results in the study indicate that proposed f ( G , T ) gravity models provide good bouncing solutions with the chosen EoS and model parameters.