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  Spherically Symmetric Quantum Geometry: Hamiltonian Constraint

Bojowald, M., & Swiderski, R. (2006). Spherically Symmetric Quantum Geometry: Hamiltonian Constraint. Classical and Quantum Gravity, 23, 2129-2154.

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0511108.pdf (Preprint), 364KB
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Bojowald, Martin1, Author
Swiderski, Rafal, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: Variables adapted to the quantum dynamics of spherically symmetric models are introduced, which further simplify the spherically symmetric volume operator and allow an explicit computation of all matrix elements of the Euclidean and Lorentzian Hamiltonian constraints. The construction fits completely into the general scheme available in loop quantum gravity for the quantization of the full theory as well as symmetric models. This then presents a further consistency check of the whole scheme in inhomogeneous situations, lending further credence to the physical results obtained so far mainly in homogeneous models. New applications in particular of the spherically symmetric model in the context of black hole physics are discussed.

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Language(s): eng - English
 Dates: 2006
 Publication Status: Issued
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 Identifiers: eDoc: 246570
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 23 Sequence Number: - Start / End Page: 2129 - 2154 Identifier: -