Quantum Cosmological Scenarios of Brans-Dicke Gravity in Einstein and Jordan Frames
- Authors: Almeida C.R.1, Batista A.B.1, Fabris J.C.1,2, Pinto-Neto N.3
-
Affiliations:
- Universidade Federal do Espírito Santo
- National Research Nuclear University “MEPhI”
- Centro Brasileiro de Pesquisas Físicas
- Issue: Vol 24, No 3 (2018)
- Pages: 245-253
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176198
- DOI: https://doi.org/10.1134/S0202289318030027
- ID: 176198
Cite item
Abstract
The Hamiltonian of any quantum cosmological model must obey some conditions in order to be self-adjoint or to admit self-adjoint extensions. We consider the self-adjoint character of the Hamiltonian resulting from the Brans-Dicke theory, both in Einstein and Jordan frames. In both cases we find the wave-function solutions in order to obtain concrete predictions for the evolution of the Universe. We show that the specific cosmological scenarios obtained depend very weakly on the conditions of having a self-adjoint operator. The problem of equivalence between the Einstein and Jordan frames is considered, and it is shown that this equivalence implies a specific ordering parameter as well as a particular choice of the physical variables.
About the authors
C. R. Almeida
Universidade Federal do Espírito Santo
Author for correspondence.
Email: carlagbjj@hotmail.com
Brazil, Vitória/ES, CEP 29075-910
A. B. Batista
Universidade Federal do Espírito Santo
Email: carlagbjj@hotmail.com
Brazil, Vitória/ES, CEP 29075-910
J. C. Fabris
Universidade Federal do Espírito Santo; National Research Nuclear University “MEPhI”
Email: carlagbjj@hotmail.com
Brazil, Vitória/ES, CEP 29075-910; Kashirskoe sh. 31, Moscow, 115409
N. Pinto-Neto
Centro Brasileiro de Pesquisas Físicas
Email: carlagbjj@hotmail.com
Brazil, Rio de Janeiro, RJ, CEP22290-180