The analytic part of the stress-energy tensor at thermodynamic equilibrium has a universal covariant form independent of specific curved spacetime geometry for the massless scalar field, argued to hold for any quantum field theory.
Becattini, Acta Phys
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abstract
The main concepts of general relativistic thermodynamics and general relativistic statistical mechanics are reviewed. The main building block of the proper relativistic extension of the classical thermodynamics laws is the four-temperature vector \beta, which plays a major role in the quantum framework and defines a very convenient hydrodynamic frame. The general relativistic thermodynamic equilibrium condition demands \beta to be a Killing vector field. We show that a remarkable consequence is that all Lie derivatives of all physical observables along the four-temperature flow must then vanish.
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Real acceleration strengthens deconfining properties of gluonic matter per the one-loop Polyakov-loop potential minimized in the optical metric, while imaginary acceleration yields a confined phase.
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