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Scalar field potentials for closed and open cosmological models

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Abstract

We develop a technique for the reconstruction of the potential for a scalar field or a tachyon field, reproducing a given cosmological evolution in a closed and open isotropic cosmological models. Such potentials are explicitly written down for the cases of the evolutions driven by a generic barotropic fluid and by radiation plus a cosmological constant, for the case of a scalar field. For tachyon and pseudo-tachyon fields the potentials are reconstructed for some special cases, corresponding to particular values of the barotropic index.

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Authors and Affiliations

  1. Dipartimento di Fisica, Via Irnerio 46, 40126, Bologna, Italy

    Alexander Y. Kamenshchik & Serena Manti

  2. INFN, Via Irnerio 46, 40126, Bologna, Italy

    Alexander Y. Kamenshchik

  3. L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences, Kosygin str. 2, 119334, Moscow, Russia

    Alexander Y. Kamenshchik

  4. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Serena Manti

Authors
  1. Alexander Y. Kamenshchik
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  2. Serena Manti
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Correspondence to Alexander Y. Kamenshchik.

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Kamenshchik, A.Y., Manti, S. Scalar field potentials for closed and open cosmological models. Gen Relativ Gravit 44, 2205–2214 (2012). https://doi.org/10.1007/s10714-012-1384-x

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  • DOI: https://doi.org/10.1007/s10714-012-1384-x

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