Abstract
The relationship between relativistic thermodynamics of the early Universe with the Logunov metric and a gravitational analog of statistical mechanics is examined. An equation of state for gravitational atoms is derived. These atoms can be the medium that gave rise to the contents of our Universe or miniUniverses. A gravitational analog of the first law of thermodynamics is obtained. It is also found that the symmetrical in time Liouville equation can have a partial solution with a broken symmetry in time.
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