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arXiv · 1709.05579

Cosmological scenarios in quantum cosmology of Brans-Dicke theory of gravity on Einstein and Jordan frames

Carla Rodrigues Almeida·Antônio Brasil Batista·Júlio César Fabris·Nelson Pinto-Neto
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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 will consider in this paper 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 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.

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Carla Rodrigues Almeida, Antônio Brasil Batista, Júlio César Fabris, Nelson Pinto-Neto. 2017-09-16. Cosmological scenarios in quantum cosmology of Brans-Dicke theory of gravity on Einstein and Jordan frames. https://arxiv.org/abs/1709.05579

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