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De Sitter type of cosmological model with a self-gravitating nonlinear scalar field

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Abstract

Homogeneous isotropic cosmological solutions are obtained for a de Sitter type of metric in the presence of a self-gravitating scalar field with cubic nonlinearity. Unlike the usual de Sitter case which is indefinitely expanding it is here interestingly found that in the presence of a nonlinear scalar field the model gives a bounce from a maximum of spatial volume. The possibility of bounce from a maximum, however, disappears when a linear scalar field is considered instead.

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References

  • Brans, C. and Dicke, R.: 1961,Phys. Rev. 124, 925.

    Google Scholar 

  • Bronnikov, K. and Tagirov, E.: 1968, Preprint R2-4151, JINR, Dubna.

  • Guth, A.: 1981,Phys. Rev. D23, 347.

    Google Scholar 

  • Hawking, S.: 1982, in P. Breitenlohner and H. Durr (eds.), ‘Unified Theories of Elementary Particles’,Lecture Notes in Physics, Vol. 161, Springer-Verlag, Berlin, p. 167.

    Google Scholar 

  • Ivanov, G.: 1980,Izvestiya Vysshikh Zavedenii, Fizika, No. 12, p. 18.

    Google Scholar 

  • Kalinowski, M.: 1983,Int. J. Theor. Phys. 22, 385.

    Google Scholar 

  • Lorenz-Petzold, D.: 1984,Astrophys. Space Sci. 100, 475.

    Google Scholar 

  • Melnikov, V. and Orlov, S.: 1983,Phys. Letters 95A, 226.

    Google Scholar 

  • Taylor, J.:Gauge Theories of Weak Interactions, Cambridge University Press, Cambridge.

  • Wesson, P.: 1983,Astron. Astrophys. 119, 145.

    Google Scholar 

  • Zee, A.: 1979,Phys. Rev. Letters 42, 417.

    Google Scholar 

  • Zel'dovich, Ya.: 1968,Soviet Phys. Usp. 11, 381.

    Google Scholar 

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Chatterjee, S., Banerjee, N. De Sitter type of cosmological model with a self-gravitating nonlinear scalar field. Astrophys Space Sci 133, 383–387 (1987). https://doi.org/10.1007/BF00642495

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