Some exact solutions in f(G, T) gravity via Noether symmetries

This paper is devoted to investigate the recently proposed modified Gauss-Bonnet f(G, T) gravity, with G, the Gauss-Bonnet term, coupled with T, the trace of energy-momentum tensor. We have used the Noether symmetry methodology to discuss some cosmologically important f(G, T) gravity models with anisotropic background. In particular, the Noether symmetry equations for modified f(G, T) gravity are reported for locally rotationally symmetric Bianchi type I universe. Explicitly, two models have been proposed to explore the exact solutions and the conserved quantities. It is concluded that the specific models of modified Gauss-Bonnet gravity may be used to reconstruct Lambda CDM cosmology without involving any cosmological constant.