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Exact Solutions and Scalar Fields in Gravity pp 195–203Cite as

Classical and Quantum Cosmology with and without Self-Interacting Scalar Field in Bergmann-Wagoner Theory

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Abstract

Classical and quantum cosmologies are considered in the context of generalized scalar-tensor theories of gravitation of Bergmann-Wagonner (BW) for Isotropic, and the Bianchi types I and II cosmologies with and without self interactions of the scalar field. The coupling function ω(φ) is kept arbitrary and the self interacting potential is chosen to obtain exact solutions. Quantum wormholes and classical non-singular solutions are given.

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Author information

Authors and Affiliations

  1. Departamento de Física, Universidad Autónoma Metropolitana, Iztapalapa, P.O. Box 55-534, CP 09340, México, D. F., México

    Luis O. Pimentel & Cesar Mora

  2. Departamento de Física, UPIBI-Instituto Politécnico Nacional, Av. Acueducto s/n Col. Barrio La Laguna Ticomán, CP 07340, México, DF, México

    Cesar Mora

Authors
  1. Luis O. Pimentel
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  2. Cesar Mora
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Editor information

Editors and Affiliations

  1. Universidad Autónoma Metropolitana-Itzapalapa, Mexico City, Mexico

    Alfredo Macias

  2. Institute Nacional de Investigaciones Nucleares, Mexico City, Mexico

    Jorge L. Cervantes-Cota

  3. University of Düsseldorf, Düsseldorf, Germany

    Claus Lämmerzahl

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© 2002 Kluwer Academic Publishers

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Pimentel, L.O., Mora, C. (2002). Classical and Quantum Cosmology with and without Self-Interacting Scalar Field in Bergmann-Wagoner Theory. In: Macias, A., Cervantes-Cota, J.L., Lämmerzahl, C. (eds) Exact Solutions and Scalar Fields in Gravity. Springer, Boston, MA. https://doi.org/10.1007/0-306-47115-9_18

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  • DOI: https://doi.org/10.1007/0-306-47115-9_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46618-2

  • Online ISBN: 978-0-306-47115-5

  • eBook Packages: Springer Book Archive

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