Brazilian Journal of Physics

, Volume 42, Issue 5, pp 475–481

Dilaton Quantum Cosmology with a Schrödinger-like Equation

  • J. C. Fabris
  • F. T. Falciano
  • J. Marto
  • N. Pinto-Neto
  • P. Vargas Moniz
Particles and Fields

DOI: 10.1007/s13538-012-0105-y

Cite this article as:
Fabris, J.C., Falciano, F.T., Marto, J. et al. Braz J Phys (2012) 42: 475. doi:10.1007/s13538-012-0105-y

Abstract

A quantum cosmological model with radiation and a dilaton scalar field is analyzed. The Wheeler–DeWitt equation in the minisuperspace induces a Schrödinger equation, which can be solved. An explicit wavepacket is constructed for a particular choice of the ordering factor. A consistent solution is possible only when the scalar field is a phantom field. Moreover, although the wavepacket is time-dependent, a Bohmian analysis allows to extract a bouncing behavior for the scale factor.

Keywords

Quantum cosmology Gravitation Quantum gravity 

Copyright information

© Sociedade Brasileira de Física 2012

Authors and Affiliations

  • J. C. Fabris
    • 1
  • F. T. Falciano
    • 2
  • J. Marto
    • 3
  • N. Pinto-Neto
    • 2
  • P. Vargas Moniz
    • 3
  1. 1.Departamento de FísicaUniversidade Federal do Espírito SantoVitóriaBrazil
  2. 2.ICRACentro Brasileiro de Pesquisas FísicasUrcaBrazil
  3. 3.Departamento de FísicaUniversidade da Beira InteriorCovilhãPortugal