Thermal aspects of the anomalous ω→∞ limit of Brans–Dicke gravity

Brans–Dicke gravity does not always reduce to General Relativity in the limit ω → ∞ of the coupling constant. This anomalous behavior is examined within a thermal analogy of scalar-tensor gravity with a dissipative fluid. It is shown that this effect is linked to the non-vanishing nature of the chemical potential, in the Einstein frame formulation of the thermal analogy, in the ω → ∞ limit.