Quantum cosmology of scalar-tensor theories and self-adjointness
arXiv:1608.08971 · doi:10.1063/1.4979537
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.
arXiv commentLatex file, 12 pages. Small changes made in the paper, and a a new appendix added
References in corpus (12)
- Background Independent Quantum Gravity: A Status Report
- Quantum cosmological perfect fluid models
- The Causal Interpretation of Dust and Radiation Fluids Non-Singular Quantum Cosmologies
- Quantum cosmology from the de Broglie-Bohm perspective
- Dynamical Vacuum in Quantum Cosmology
- Restoring unitarity in anisotropic quantum cosmological models
- Addressing the issue of non-unitarity in anisotropic quantum cosmology
- Scalar field quantum cosmology: a Schrödinger picture
- Anisotropic models are unitary: A rejuvenation of standard quantum cosmology
- Quantum cosmology with scalar fields: self-adjointness and cosmological scenarios
- Quantized Brans Dicke Theory: Phase Transition and Strong Coupling (Large ) Limit & General Relativity
- Dilaton Quantum Cosmology with a Schrodinger-like equation