Effective LQC model for k=+1 isotropic cosmologies from spatial discretizations
Liegener K, Weigl S (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 102
Article Number: 106014
Journal Issue: 10
DOI: 10.1103/PhysRevD.102.106014
Abstract
The closed, spatially isotropic Friedmann-Lemaître-Robertson-Walker universe (k=+1) is endowed with modifications due to a discrete underlying space-structure. Motivated from loop quantum gravity techniques, a full Thiemann regularization is performed. The impact of these modifications of the single-graph-sector appearing in the scalar constraint are interpreted as physical quantum gravity effects. We investigate the form of the modified scalar constraint and its analytical approximations for k=+1 spacetimes and assume this effective constraint as the generator of dynamics on the reduced isotropic phase space. It transpires that the system still features a classical recollapse with only marginal discreteness corrections. Moreover, the initial and final singularities are resolved and we present an effective model mirroring the qualitative features of system.
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APA:
Liegener, K., & Weigl, S. (2020). Effective LQC model for k=+1 isotropic cosmologies from spatial discretizations. Physical Review D, 102(10). https://dx.doi.org/10.1103/PhysRevD.102.106014
MLA:
Liegener, Klaus, and Stefan Weigl. "Effective LQC model for k=+1 isotropic cosmologies from spatial discretizations." Physical Review D 102.10 (2020).
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