A quantum gravity extension to the Mixmaster dynamics. (4th September 2019)

• Record Type: Journal Article
• Authors: Wilson-Ewing, Edward
• Is Part Of: Classical and quantum gravity. Volume 36:Number 19(2019:Oct.)
• Publication Date: 2019-09-04
• Subjects: loop quantum cosmology -- Bianchi space-times -- effective dynamics; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ab392b
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: In the loop quantum cosmology effective dynamics for the vacuum Bianchi type I and type IX space-times, a non-singular bounce replaces the classical singularity. The bounce can be approximated as an instantaneous transition between two classical vacuum Bianchi I solutions, with simple transition rules relating the solutions before and after the bounce. These transition rules are especially simple when expressed in terms of the Misner variables: the evolution of the mean logarithmic scale factor is reversed, while the shape parameters are unaffected. As a result, the loop quantum cosmology effective dynamics for the vacuum Bianchi IX space-time can be approximated by a sequence of classical vacuum Bianchi I solutions, following the usual Mixmaster transition maps in the classical regime, and undergoing a bounce with this new transition rule in the Planck regime.