Classical and quantum LTB model for the non-marginal case

Details Classical and quantum LTB model for the non-marginal case Classical and quantum LTB model for the non-marginal case

2005-12-07

arxiv.org/abs/gr-qc/0512047v2

Phys.Rev.D73:044025,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, no figures, typos corrected

Scientific paper

10.1103/PhysRevD.73.044025

We extend the classical and quantum treatment of the Lemaitre-Tolman-Bondi (LTB) model to the non-marginal case (defined by the fact that the shells of the dust cloud start with a non-vanishing velocity at infinity). We present the classical canonical formalism and address with particular care the boundary terms in the action. We give the general relation between dust time and Killing time. Employing a lattice regularization, we then derive and discuss for particular factor orderings exact solutions to all quantum constraints.

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