Configurational entropy in $f(T)$ gravity

TL;DR

This paper studies the evolution of configurational entropy in a specific $f(T)$ gravity model, revealing its negative, decreasing nature with scale factor and how model parameters influence cosmic dynamics and entropy dissipation.

Contribution

It introduces the evolution of configurational entropy within the power-law $f(T)$ gravity framework, highlighting the effects of the parameter $b$ on cosmic evolution and entropy behavior.

Findings

Configurational entropy is negative and decreases with scale factor.

Maximum entropy dissipation occurs when $b=0$.

Hubble parameter evolves rapidly for larger $b$ values.

Abstract

The evolution of the configurational entropy of the universe relies on the growth rate of density fluctuations and on the Hubble parameter. In this work, I present the evolution of configurational entropy for the power-law $f(T)$ gravity model of the form $f(T) = \zeta (-T)^ b$, where, $\zeta = (6 H_{0}^{2})^{(1-s)}\frac{\Omega_{P_{0}}}{2 s -1}$ and $b$ a free parameter. From the analysis, I report that the configurational entropy in $f(T)$ gravity is negative and decreases with increasing scale factor and therefore consistent with an accelerating universe. The decrease in configurational entropy is the highest when $b$ vanishes since the effect of dark energy is maximum when $b=0$. Additionally, I find that as the parameter $b$ increases, the growth rate, growing mode, and the matter density parameter evolve slowly whereas the Hubble parameter evolves rapidly. The rapid evolution of the Hubble parameter in conjunction with the growth rate for the $b=0$ may provide an explanation for the large dissipation of configurational entropy.