Revisiting induced gravity in scalar-tensor thermodynamics

TL;DR

This paper explores induced gravity within scalar-tensor theories through thermodynamic methods, deriving temperature evolution and analyzing equilibrium states and attractor mechanisms towards Einstein's gravity with a cosmological constant.

Contribution

It introduces a thermodynamic framework for induced gravity in scalar-tensor theories, deriving temperature evolution and examining stability and attractor behavior.

Findings

Derived the temperature of gravity and its evolution equation.

Analyzed equilibrium states in General Relativity.

Investigated the existence of an attractor mechanism toward Einstein's theory.

Abstract

Induced gravity, defined as a globally scale-invariant ``first-generation'' scalar-tensor theory, is investigated within the framework of the thermodynamics of modified gravity theories. The ``temperature of gravity'' and its evolution equation are derived for this model, and the resulting expressions are used to analyse General-Relativity equilibrium states and to investigate the possible existence of an attractor mechanism toward Einstein's theory with a cosmological constant.