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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Acknowledgments
The author would like to express its gratitude to F. Barbaresco and G. De Saxcé for pointing out relevant papers and references.
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Becattini, F. (2017). Thermodynamic Equilibrium and Relativity: Killing Vectors and Lie Derivatives. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Computer Science(), vol 10589. Springer, Cham. https://doi.org/10.1007/978-3-319-68445-1_52
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DOI: https://doi.org/10.1007/978-3-319-68445-1_52
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