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Classical and quantum LTB model for the non-marginal case

MPS-Authors

Kiefer,  Claus
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

Phy.Rev.D.73.044025.pdf
(Publisher version), 164KB

0512047v1.pdf
(Preprint), 269KB

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Citation

Kiefer, C., Müller-Hill, J., & Vaz, C. (2006). Classical and quantum LTB model for the non-marginal case. Physical Review D, 73(4): 044025. doi:10.1103/PhysRevD.73.044025.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4A98-7
Abstract
We extend the classical and quantum treatment of the Lemaître-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.