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.
Similar content being viewed by others
REFERENCES
M. Born, The Classical Mechanics of Atoms, Ungar, New York, 1960.
M. Gell-Mann, The Quark and the Jaguar, Little, Brown, 1994.
I. Prigogine and D. Kondepudi, Modern Thermodynamics: From Heat Engines to Dissipative Structures, John Wiley & Sons, Chichester, 1998.
I. Prigogine, Non-Equilibrium Statistical Mechanics, Wiley, New York, 1962.
D. N. Zubarev, V. G. Morozov, and G. Renke, Statistical Mechanics of Non-Equilibrium Processes, V. 1 [in Russian], Fizmatlit, Moscow, 2002.
V. V. Lasukov, Russ. Phys. J., No. 2, 133 (2002).
S. R. De Groot and P. Mazur, Non-Equilibrium Thermodynamics, NorthHolland, Amsterdam, 1962.
V. V. Lasukov, Russ. Phys. J., No. 9, 903 (2003).
V. Heisenberg, Usp. Fiz. Nauk, 121, 657 (1977).
D. N. Zubarev, V. G. Morozov, and G. Renke, Statistical Mechanics of Non-Equilibrium Processes V. 2 [in Russian], Fizmatlit, Moscow, 2002.
R. C. Tolmen, Relativity, Thermodynamics, and Cosmology, Clarendon Press, Oxford, 1969.
V. V. Lasukov, Russ. Phys. J., No. 6, 638 (2004).
V. V. Lasukov, Russ. Phys. J., No. 4, 407 (2003).
V. V. Lasukov, Russ. Phys. J., No. 5, 528 (2002).
V. V. Lasukov, Russ. Phys. J., No. 9, 950 (2003).
Author information
Authors and Affiliations
Additional information
__________
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 7–17, March, 2005.
Rights and permissions
About this article
Cite this article
Lasukov, V.V. Thermodynamics of the Early Universe. Russ Phys J 48, 224–237 (2005). https://doi.org/10.1007/s11182-005-0113-2
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11182-005-0113-2