Classical and quantum Lemaître-Tolman-Bondi model for the nonmarginal case

2005/12/31 by Claus Kiefer, Jakob Mueller-Hill, Jakob Müller-Hill +1 · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.73.044025

published as Phys.Rev.D73:044025,2006 · 23 pages, no figures, typos corrected

openalex publication_date 2006/02/22 · arxiv created 2009/10/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

We extend the classical and quantum treatment of the Lema\^\itre-Tolman-Bondi (LTB) model to the nonmarginal case (defined by the fact that the shells of the dust cloud start with a nonvanishing 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.

Cited by

• Classical and quantum gravitational collapse ind-dimensional AdS spacetime. II. Quantum states and Hawking radiation
• Hawking radiation from the quantum Lemaître-Tolman-Bondi model
• Bose condensation and the BTZ black hole
• Black holes as gravitational atoms
• Indefinite oscillators and black-hole evaporation
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Radial asymptotics of Lemaître–Tolman–Bondi dust models