English

Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity

General Physics 2017-01-31 v2

Abstract

We explore the recently introduced modified Gauss-Bonnet gravity [1], f(G,T)f(\mathcal{G},T) pragmatic with G\mathcal{G}, the Gauss-Bonnet term, and T{T}, the trace of the energy-momentum tensor. Noether symmetry approach has been used to develop some cosmologically viable f(G,T)f(\mathcal{G},T) gravity models. The Noether equations of modified gravity are reported for flat FRW universe. Two specific models have been studied to determine the conserved quantities and exact solutions. In particular, the well known deSitter solution is reconstructed for some specific choice of f(G,T)f(\mathcal{G},T) gravity model.

Keywords

Cite

@article{arxiv.1611.07338,
  title  = {Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity},
  author = {M. Farasat Shamir and Mushtaq Ahmad},
  journal= {arXiv preprint arXiv:1611.07338},
  year   = {2017}
}

Comments

15 Pages, revised version, to appear in EPJC