Current Search: abstract (x) » Beetle, Christopher (x)
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Title
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Approximate Isometries as an Eigenvalue Problem and Angular Momentum.
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Creator
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Wilder, Shawn M., Beetle, Christopher, Graduate College
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Date Issued
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2013-04-12
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PURL
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http://purl.flvc.org/fcla/dt/3361373
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Subject Headings
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Black holes (Astronomy), Eigenvalues
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Format
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Document (PDF)
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Title
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Exploring the stability of an eigenvalue problem approximation technique used to define the angular momentum of almost spherical black holes.
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Creator
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Wilder, Shawn M., Beetle, Christopher, Graduate College
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Date Issued
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2011-04-08
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PURL
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http://purl.flvc.org/fcla/dt/3164804
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Subject Headings
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Eigenvalues, Black holes (Astronomy), Deformations (Mechanics)
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Format
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Document (PDF)
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Title
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Quantum isotropy and dynamical quantum symmetry reduction.
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Creator
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Hogan, Matthew, Beetle, Christopher, Engle, Jonathan S., Graduate College, Mendonca, P.
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Abstract/Description
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We give a diffeomorphism and gauge covariant condition equivalent to homogeneity and isotropy which can be quantized, yielding a definition of a diffeomorphism-invariant, homogeneous isotropic sector of loop quantum gravity without fixing a graph. We then specialize this condition to Bianchi I cosmologies, in which case it becomes a condition for isotropy. We show how, by quantizing and imposing this condition in Bianchi I loop quantum cosmology, one exactly recovers isotropic loop quantum...
Show moreWe give a diffeomorphism and gauge covariant condition equivalent to homogeneity and isotropy which can be quantized, yielding a definition of a diffeomorphism-invariant, homogeneous isotropic sector of loop quantum gravity without fixing a graph. We then specialize this condition to Bianchi I cosmologies, in which case it becomes a condition for isotropy. We show how, by quantizing and imposing this condition in Bianchi I loop quantum cosmology, one exactly recovers isotropic loop quantum cosmology, including the usual ‘improved dynamics.’ We will also discuss how this reduction sheds light on which operator ordering to use when defining operators corresponding to directional Hubble rates, expansion, and shear quantities relevant for discussing the resolution of the initial singularity.
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Date Issued
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2014
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PURL
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http://purl.flvc.org/fau/fd/FA00005821
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Format
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Document (PDF)