Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.
Quantum equivalence off(R)gravity and scalar–tensor theories in the Jordan and Einstein frames
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Frame invariant diffusive formulation of scalar-tensor gravity
Scalar-tensor gravity admits a frame-invariant perfect-fluid description with zero temperature, so that general relativity corresponds to diffusive equilibrium for both minimal and nonminimal theories.