Non-singular bouncing model in energy momentum squared gravity

Abstract

This work is concerned to study the bouncing nature of the Universe for an isotropic configuration of fluid and Friedmann-Lemaître-Robertson-Walker metric scheme. This work is carried out under the novel gravitation by assuming a specific model i.e. = with α and λ are constants, serving as free parameters. The terms and served as an Gauss-Bonnet invariant and square of the energy-momentum trace term as an inclusion in the gravitational action respectively, and is proportional to . A specific functional form of the Hubble parameter is taken to provide the evolution of cosmographic parameters. A well known equation of state parameter, is used to represent the dynamical behavior of energy density, matter pressure and energy conditions. A detailed graphical analysis is also provided to review the bounce. Furthermore, all free parameters are set in a way, to make the supposed Hubble parameter act as the bouncing solution and ensure the viability of energy conditions. Conclusively, all necessary conditions for a bouncing model are checked.