Abstract
We explore the recently introduced modified Gauss–Bonnet gravity (Sharif and Ikram in Eur Phys J C 76:640, 2016), f(mathcal {G},T) pragmatic with mathcal {G}, the Gauss–Bonnet term, and T, the trace of the energy-momentum tensor. Noether symmetry approach has been used to develop some cosmologically viable 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(mathcal {G},T) gravity model.
Highlights
The cosmological aspect of research has proven to be the main resource of modern diverse theories of gravity
The onset of General relativity (GR) being a physical theory has been a great success of the last century
GR alone does not provide us with the sufficient fundamental platform to solve the problems like initial singularity, flatness issues, dark energy and dark matter problems
Summary
The cosmological aspect of research has proven to be the main resource of modern diverse theories of gravity. GR alone does not provide us with the sufficient fundamental platform to solve the problems like initial singularity, flatness issues, dark energy and dark matter problems. It fails when one is interested to express this wide universe as a whole, at the extreme conditions for the ultraviolet scales and for the expression of the quantum structure of space-time. The researchers have considered a new generalized approach of the Gauss–Bonnet (GB) theory named as f (G) gravity [19,20,21,22,23]. Further modification of the theory by involving scalar curvature along with GB invariant has been presented which is named
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