Spherically symmetric quantum geometry: Hamiltonian constraint

Martin Bojowald, Rafal Swiderski

Research output: Contribution to journalArticle

88 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)2129-2154
Number of pages26
JournalClassical and Quantum Gravity
Volume23
Issue number6
DOIs
StatePublished - Mar 21 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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