Thermal description of braneworld effective theories

TL;DR

This paper explores the thermodynamics of effective theories in braneworld models, focusing on how bulk effects influence the approach to general relativity and the role of radion fields in the thermodynamic behavior.

Contribution

It analyzes the thermodynamic properties of scalar-tensor effective theories in braneworld scenarios, especially the impact of bulk contributions and stabilization mechanisms.

Findings

Radion potential's gravitational part affects thermodynamics.

Thermodynamic analysis reveals attractor behavior towards GR.

Bulk stabilizing fields influence radion dynamics and thermodynamics.

Abstract

Low-energy effective theories provide the natural description of four-dimensional physics in higher-dimensional geometries, where the imprint of the bulk appears as parameters of the lower dimensional theory. Motivated by the recent progress in the first-order thermodynamic formulation of modified gravity theories, we investigate the thermodynamics of effective theories in braneworld scenarios and thereby the attractor mechanism towards general relativity in such theories. We consider the two-brane Randall-Sundrum model where the low-energy theory on either brane is of scalar-tensor nature with the extra-dimensional radion playing the role of the scalar. We study the thermodynamic implications of a non-vanishing gravitational contribution to the radion potential, and further explore the dynamics in the presence of a bulk stabilizing field.