110 Citations (Scopus)

Abstract

The "improved dynamics" of loop quantum cosmology is extended to include the Bianchi type II model. Because these space-times admit both anisotropies and nonzero spatial curvature, certain technical difficulties arise over and above those encountered in the analysis of the (anisotropic but spatially flat) Bianchi type I space-times and of the (spatially curved but isotropic) k=±1 models. We address these and show that the big-bang singularity is resolved in the same precise sense as in the recent analysis of the Bianchi I model. Bianchi II space-times are of special interest to quantum cosmology because of the expected behavior of the gravitational field near generic spacelike singularities in classical general relativity.

Original languageEnglish (US)
Article number123532
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume80
Issue number12
DOIs
StatePublished - Dec 29 2009

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cosmology
gravitational fields
relativity
curvature
anisotropy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

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title = "Loop quantum cosmology of bianchi type II models",
abstract = "The {"}improved dynamics{"} of loop quantum cosmology is extended to include the Bianchi type II model. Because these space-times admit both anisotropies and nonzero spatial curvature, certain technical difficulties arise over and above those encountered in the analysis of the (anisotropic but spatially flat) Bianchi type I space-times and of the (spatially curved but isotropic) k=±1 models. We address these and show that the big-bang singularity is resolved in the same precise sense as in the recent analysis of the Bianchi I model. Bianchi II space-times are of special interest to quantum cosmology because of the expected behavior of the gravitational field near generic spacelike singularities in classical general relativity.",
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Loop quantum cosmology of bianchi type II models. / Ashtekar, Abhay; Wilson-Ewing, Edward.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 80, No. 12, 123532, 29.12.2009.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Loop quantum cosmology of bianchi type II models

AU - Ashtekar, Abhay

AU - Wilson-Ewing, Edward

PY - 2009/12/29

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AB - The "improved dynamics" of loop quantum cosmology is extended to include the Bianchi type II model. Because these space-times admit both anisotropies and nonzero spatial curvature, certain technical difficulties arise over and above those encountered in the analysis of the (anisotropic but spatially flat) Bianchi type I space-times and of the (spatially curved but isotropic) k=±1 models. We address these and show that the big-bang singularity is resolved in the same precise sense as in the recent analysis of the Bianchi I model. Bianchi II space-times are of special interest to quantum cosmology because of the expected behavior of the gravitational field near generic spacelike singularities in classical general relativity.

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