Rodolfo Gambini et al 2009 Class. Quantum Grav. 26 215011 doi:10.1088/0264-9381/26/21/215011
Rodolfo Gambini1, Jorge Pullin2 and Saeed Rastgoo1
Show affiliationsWe study gravity coupled to a scalar field in spherical symmetry using loop quantum gravity techniques. Since this model has local degrees of freedom, one has to face 'the problem of dynamics', that is, diffeomorphism and Hamiltonian constraints that do not form a Lie algebra. We tackle the problem using the 'uniform discretization' technique. We study the expectation value of the master constraint and argue that among the states that minimize the master constraint is one that incorporates the usual Fock vacuum for the matter content of the theory.
83C45 Quantization of the gravitational field
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
Issue 21 (7 November 2009)
Received 9 June 2009, in final form 27 August 2009
Published 16 October 2009
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