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  • Access by Xinjiang University

Big-Bang Model Without Singularities

George L. Murphy

  • Department of Physics, Westminster College, New Wilmington, Pennsylvania 16142

Phys. Rev. D 8, 4231 – Published 15 December, 1973

DOI: https://doi.org/10.1103/PhysRevD.8.4231

Abstract

A uniform cosmological model filled with fluid which possesses pressure and second viscosity is developed. The Einstein equations can be integrated exactly. One solution is the steady-state cosmology, but this is unstable. Other solutions start from the steady-state one in the infinite past but expand more and more slowly as viscosity dies out. At any finite proper time in the past the curvature is finite. Some comments on possible origins of this viscosity are given.

References (10)

  1. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972), Chap. 15
  2. J. A. Wheeler, Rev. Mod. Phys. 33, 63 (1961)
  3. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Addison-Wesley, Reading, Mass., 1959), Chap. XV
  4. [3], p. 304
  5. [1], p. 57
  6. [1], p. 472
  7. W. H. McCrea, Proc. R. Soc. 206, 562 (1951)
  8. R. Geroch, in Relativity, edited by M. Carmeli, S. I. Fickler, and L. Witten (Plenum, New York, 1970)
  9. J. A. Wheeler, Geometrodynamics (Academic, New York, 1962), p. 79
  10. A. Sandage, paper presented at the Mayall Symposium, Tuscon, Arizona, 1971 (unpublished)

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