Numerical Techniques in Loop Quantum Cosmology

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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dc.contributor.author	Brizuela, D.
dc.contributor.author	Cartin, D.
dc.contributor.author	Khanna, G.
dc.date.accessioned	2019-02-18T10:53:59Z
dc.date.available	2019-02-18T10:53:59Z
dc.date.issued	2012
dc.identifier.citation	Numerical Techniques in Loop Quantum Cosmology / D. Brizuela, D. Cartin, G. Khanna // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 75 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 83C45; 83Fxx; 83-08
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2012.001
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148360
dc.description.abstract	In this article, we review the use of numerical techniques to obtain solutions for the quantum Hamiltonian constraint in loop quantum cosmology (LQC). First, we summarize the basic features of LQC, and describe features of the constraint equations to solve - generically, these are difference (rather than differential) equations. Important issues such as differing quantization methods, stability of the solutions, the semi-classical limit, and the relevance of lattice refinement in the difference equations are discussed. Finally, the cosmological models already considered in the literature are listed, along with typical features in these models and open issues.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html. We would like to thank M. Mart´ın-Benito for comments on the manuscript. DB acknowledges financial support from Spanish Ministry of Education through National Program No. I-D+i2008-2011. This work has been supported by the Spanish MICINN Project No. FIS2008-06078-C03-03, and by Institute of Gravitation and the Cosmos (PSU). GK acknowledges research support from NSF Grant Nos. PHY-0831631, PHY-0902026, PHY-1016906 and PHY-1135664.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Numerical Techniques in Loop Quantum Cosmology	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA