Revisiting induced gravity in scalar-tensor thermodynamics

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 analyze general relativity equilibrium states and to investigate the possible existence of an attractor mechanism toward Einstein's theory with a cosmological constant.