Abstract
The main concepts of general relativistic thermodynamics and general relativistic statistical mechanics are reviewed in a quantum framework. The main building block of the proper relativistic extension of classical thermodynamics laws is the four-temperature vector \(\beta \). The general relativistic thermodynamic equilibrium condition demands \(\beta \) to be a Killing vector field. A remarkable consequence of this condition is that all Lie derivatives of all physical observables along the four-temperature flow vanish.
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