English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The detailed formulation of loop quantum cosmology with higher order holonomycorrections has been constructed recently in the homogeneous and isotropicspacetime, yet it is important to extend the higher order holonomy correctionsto include the effects of anisotropy which typically grow during the collapsingphase. In this paper we investigate the Bianchi I model in $\bar{\mu}'$ schemewhich truly captures the regularization of the Hamiltonian constraint. Tocompare with the earlier works and provide a comparison with the $\bar{\mu}'$scheme, we also investigate the $\bar{\mu}$ scheme although it has manydisadvantages. First we construct the effective dynamics with higher orderholonomy corrections in a massless scalar field, then we extend it to theinclusion of arbitrary matter. Besides that, we also analyze the behavior ofthe anisotropy during the evolution of the universe. We find that in the$\bar{\mu}'$ scheme, the singularity is never approached and the quantum bounceis generic as in the isotropic case, regardless of the order of the holonomycorrections. Some differences in the bouncing phase of the two schemes are alsofound out. It is also shown that in the two schemes the behavior of theanisotropy is not the same before and after the bounce.

Loop Quantum Cosmology of Bianchi I Model in $\bar{\mu}$ and $\bar{\mu}'$ Schemes with Higher Order Holonomy Corrections