Quasiclassical model of inhomogeneous cosmology
arXiv:2209.04429 · doi:10.1088/1361-6382/acdd45
Abstract
Fluctuation terms and higher moments of a quantum state imply corrections to the classical equations of motion that may have implications in early-universe cosmology, for instance in the state-dependent form of effective potentials. In addition, space-time properties are relevant in cosmology, in particular when combined with quantum corrections required to maintain general covariance in a consistent way. Here, an extension of previous investigations of static quasiclassical space-time models to dynamical ones is presented, describing the evolution of 1-dimensional space as in the classical Lemaitre--Tolman--Bondi models. The corresponding spatial metric has two independent components, both of which are in general subject to quantum fluctuations. The main result is that individual moments from both components are indeed required for general covariance to be maintained at a semiclassical level, while quantum correlations between the components are less relevant.
43 pages, 11 figures
References in corpus (10)
- Eppur è piatto? The cosmic chronometer take on spatial curvature and cosmic concordance
- Spherically Symmetric Quantum Geometry: States and Basic Operators
- Constraints on the curvature of the Universe and dynamical dark energy from the Full-shape and BAO data
- Quantum Gravity and Higher Curvature Actions
- Effective Constraints for Quantum Systems
- Canonical description of cosmological backreaction
- A moment approach to compute quantum-gravity effects in the primordial universe
- Quantum Higgs Inflation
- Quasiclassical solutions for static quantum black holes
- Multi-field inflation from single-field models