Quantum cosmology of scalar-tensor theories and self-adjointness
General Relativity and Quantum Cosmology
2017-04-26 v2 High Energy Physics - Theory
Abstract
In this paper, the problem of the self-adjointness for the case of a quantum minisuperspace Hamiltonian retrieved from a Brans-Dicke (BD) action is investigated. Our matter content is presented in terms of a perfect fluid, onto which the Schutz's formalism will be applied. We use the von Neumann theorem and the similarity with the Laplacian operator in one of the variables to determine the cases where the Hamiltonian is self-adjoint and if it admits self-adjoint extensions. For the latter, we study which extension is physically more suitable.
Keywords
Cite
@article{arxiv.1608.08971,
title = {Quantum cosmology of scalar-tensor theories and self-adjointness},
author = {C. R. Almeida and A. B. Batista and J. C. Fabris and P. V. Moniz},
journal= {arXiv preprint arXiv:1608.08971},
year = {2017}
}
Comments
Latex file, 12 pages. Small changes made in the paper, and a a new appendix added