Thermodynamics of Geodetic Brane Gravity

TL;DR

This paper investigates how Geodetic Brane Gravity influences cosmological thermodynamics, specifically entropy and temperature corrections of the apparent horizon, and examines conditions for thermal equilibrium between horizon and bulk.

Contribution

It introduces a thermodynamical analysis of Geodetic Brane Gravity effects on cosmological horizons and explores horizon-bulk thermal equilibrium conditions.

Findings

Geodetic Brane Gravity modifies entropy and temperature of the apparent horizon.

Thermal equilibrium depends critically on the matter equation-of-state.

Corrections are sensitive to the universe's matter content.

Abstract

In this work, we explore the effect at cosmological level of the extra contribution arising from the Geodetic Brane Gravity model within a thermodynamical perspective. As already known, the universe seen as an extended object embedded within a higher dimensional space time, modifies the dynamical background equations, which in turn results in correction contributions to the entropy and temperature of the apparent horizon. Additionally, we investigate the possibility that the apparent horizon and the bulk remain in thermal equilibrium across various matter contents, demonstrating that such properties are highly sensitive to the equation-of-state parameter.