Abstract
The formulation of the second law of thermodynamics in the frame of general relativity is reconsidered in the case of an istotropic homogeneous universe. We show that there appears then a direct link between the cosmological state of the universe, as expressed in terms of conformal coordinates, and quantities such as energy density, pressure, and entropy associated with the description of nature. In the early universe there appears a kind of phase transition due to transfer of gravitational energy to matter associated with the cosmological expansion if the universe starts with a non-Euclidian (space) state. As a result, we may envisage the possibility of a “cold big-bang model,” in which the universe would start at zero temperature and entropy. The temperature goes then through a maximum before entering the present area of cooling related to adiabatic expansion.
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References
B. Misra,Proc. Natl. Acad. Sci. USA 75, 1627 (1978); B. Misra, I. Prigogine, and M. Courbage,Physica A 98, 1 (1979); E. Tirapegui and S. Martinez,Phys. Lett. A 110, 81 (1985).
A. D. Linde,Rep. Prog. Phys. 47, 925 (1984).
R. H. Brandenberger,Rev. Mod. Phys. 57, 1 (1985).
D. N. Page,Nature 304, 39 (1983).
C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (Freeman, San Francisco, 1973), p. 1196.
C. W. Misner, K. S. Thorne, and J. A. Wheeler,Gravitation (Freeman, San Francisco, 1973), p. 860.
R. C. Tolman,Relativity Thermodynamics and Cosmology (Clarendon Press, Oxford, 1950).
S. Weinberg,Gravitation and Cosmology Principles and applications of the General Theory of Relativity (Wiley, New York, 1972).
Cf. B. Misra and I. Prigogine,Lett. Math. Phys. 7, 421 (1983).
L. Cesari,Asymptotic Behavior and Stability Problems in Ordinary Differential Equations (Springer, Berlin, 1963).
A. Casher and F. Englert,Phys. Lett. B 104, 117 (1981); E. Gunzig, “Self-consistent cosmogenesis,” inRelativity, Supersymmetry and Cosmology (Wiley Eastern, New Delhi, 1985); E. Gunzig and P. Nardone,Gen. Relativ. Gravit. 16, 305 (1984).
L. Landau and E. Lifshitz,Teoriia Polia (Nauka, Moscow, 1973);The Classical Theory of Fields, tr. by. N. Hamevmesh (Pergamon, Oxford, 1975).
L. Infeld and A. Schild,Phys. Rev. 68, 250 (1950).
G. E. Tauber,J. Math. Phys. 8, 118 (1967).
I. Prigogine, J. Géhéniau, and E. Gunzig, to appear inProc. Natl. Acad. Sci. USA.
S. R. De Groot and P. Mazur,Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1962).
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Géhéniau, J., Prigogine, I. The birth of time. Found Phys 16, 437–443 (1986). https://doi.org/10.1007/BF01882727
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DOI: https://doi.org/10.1007/BF01882727