Spherically Symmetric Quantum Geometry: Hamiltonian Constraint

Details Spherically Symmetric Quantum Geometry: Hamiltonian Constraint Spherically Symmetric Quantum Geometry: Hamiltonian Constraint

2005-11-18

arxiv.org/abs/gr-qc/0511108v1

Class.Quant.Grav. 23 (2006) 2129-2154

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages

Scientific paper

10.1088/0264-9381/23/6/015

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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