Cosmological arrow of time in f(R) gravity

Abstract

The cosmological arrow of time may be linked to the thermodynamic arrow by second law of thermodynamics. The time asymmetry is also associated with dissipative fluid as Tolman introduced a viscous fluid to generate an arrow of time in cyclic cosmology. An arrow of time in cyclic cosmology has been shown using scalar field.In this work we find out the cosmological arrow of time in f(R) gravity. Here we use the relation between a new scalar field and $f(R)$. The dynamics of this new scalar field may emerge the arrow of time.

Paper presented at Summer School on Cosmology (6-17 June, 2016) at the Abdus Salam Internationl Centre for Theoretical Physics, Trieste, Italy