ZhETF, Vol. 147,
p. 57 (January 2015)
(English translation - JETP,
Vol. 120, No. 1,
available online at www.springer.com
SOME EXACT ANISOTROPIC SOLUTIONS VIA NOETHER SYMMETRY IN f(R) GRAVITY
Sharif M., Nawazish I.
Received: June 16, 2014
We attempt to find exact solutions of the Bianchi I model in f(R) gravity using the Noether symmetry approach. For this purpose, we take a perfect fluid and formulate conserved quantities for the power-law f(R) model. We discuss some cosmological parameters for the resulting solution which are responsible for expanding behavior of the universe. We also explore Noether gauge symmetry and the corresponding conserved quantity. It is concluded that symmetry generators as well as conserved quantities exist in all cases and the behavior of cosmological parameters shows consistency with recent observational data.