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ZhETF, Vol. 149, No. 1, p. 121 (January 2016)
(English translation - JETP, Vol. 122, No. 1, p. 104, January 2016 available online at )

Noether symmetries in f(G) gravity
Sharif M., Fatima H.I.

Received: June 24, 2015

DOI: 10.7868/S0044451016010107

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We explore Noether symmetries of the Friedmann-Robertson-Walker universe model in modified Gauss-Bonnet gravity for both vacuum and nonvacuum (dust fluid) cases. We evaluate symmetry generators and the corresponding conserved quantities by using separation of variables and a power-law form. We construct exact f(G) models and study accelerating expansion of the universe in terms of a scale factor, deceleration, and the EoS parameters. We also check the validity of energy conditions through the weak energy conditions for our constructed model. The state finder parameters indicate the resemblance of our constructed models to the Λ CDM model. We conclude that our results are consistent with the recent astrophysical observations.

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