A model of an open universe with a variable equation of state
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An approach is proposed allowing one to find exact solutions of the equations of GTR, written for a conformally-planar metric with a specific dependence of the coordinates. The approach is based on an analogy between the equation determining the pressure, and the one-dimensional Newton's equation with a potential right side. The equation of state is not fixed, but is found by giving the form of the potential. The Friedmann solution corresponds to the free motion of a Newtonian particle. Exact solutions are derived describing the mixture of dust and ultrarelativistic matter. The analysis shows that a model containing only radiation is unstable with respect to small dustlike additions. In all the models the equation of state is a function of a definite combination of space — time coordinates.
KeywordsRadiation Dust Exact Solution Variable Equation Free Motion
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- 1.R. Penrose, in: General Relativity: An Einstein Centenary Survey, S. W. Hawking and W. Israel (eds.), Cambridge University Press (1979).Google Scholar
- 2.V. A. Fok, The Theory of Space, Time, and Gravitation [in Russian], GIFML, Moscow (1961).Google Scholar
- 3.A. Linde, The Physics of Elementary Particles and Inflationary Cosmology [in Russian], Nauka, Moscow (1990).Google Scholar
- 4.A. M. Baranov and E. V. Savel'ev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 7, 32–35 (1984).Google Scholar
- 5.A. M. Baranov, Abstracts of contributed papers of 11 (1986), Vol. 1, p. 318.Google Scholar
- 6.T. Poston and I. Stewart, Catastrophe Theory and Its Applications, Pitman, London (1978).Google Scholar