Cosmological arrow of time in f(R) gravity

TL;DR

This paper investigates the origin of the cosmological arrow of time within f(R) gravity by exploring the dynamics of a related scalar field, linking thermodynamic and cosmological time asymmetries.

Contribution

It introduces a novel approach to derive the cosmological arrow of time in f(R) gravity through the dynamics of a new scalar field associated with the theory.

Findings

Scalar field dynamics can generate the arrow of time in f(R) gravity

The approach links thermodynamic and cosmological time asymmetries

Provides a new perspective on time asymmetry in cyclic cosmology

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.