2020/03/31 by Ivan Agullo, Iván Agulló, Javier Olmedo +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Canonical quantization #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #Hamiltonian (control theory) #Invariant (physics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Phase space #Physics #Quantization (signal processing) #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Scalar field #Spacetime #Theoretical physics #astro-ph.CO #gr-qc
paper · pdf · doi:10.1103/physrevd.101.123531
published as Phys. Rev. D 101, 123531 (2020) · v1: 41 pages, 3 figures; v2 : 42 pages, 4 figures, minor changes, one figure and references added, version published in Phys. Rev. D
openalex publication_date 2020/06/25 · arxiv created 2020/07/04 · arxiv updated 2020/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We derive a Hamiltonian formulation of the theory of gauge invariant, linear perturbations in anisotropic Bianchi I spacetimes, and describe how to quantize this system. The matter content is assumed to be a minimally coupled scalar field with potential V(\ensuremathφ). We show that a Bianchi I spacetime generically induces both anisotropies and quantum entanglement on cosmological perturbations, and provide the tools to compute the details of these features. We then apply this formalism to a scenario in which the inflationary era is preceded by an anisotropic Bianchi I phase, and discuss the potential imprints in observable quantities. The formalism developed here paves the road to a simultaneous canonical quantization of both the homogeneous degrees of freedom and the perturbations, a task that we develop in a companion paper.