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  LTB spacetimes in terms of Dirac observables

Giesel, K., Tambornino, J., & Thiemann, T. (2010). LTB spacetimes in terms of Dirac observables. Classical and quantum gravity, 27(10): 105013. doi:10.1088/0264-9381/27/10/105013.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-607C-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-607F-6
Genre: Journal Article

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 Creators:
Giesel, Kristina, Author
Tambornino, Johannes1, Author              
Thiemann, Thomas2, Author              
Affiliations:
1Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: The construction of Dirac observables, that is gauge invariant objects, in General Relativity is technically more complicated than in other gauge theories such as the standard model due to its more complicated gauge group which is closely related to the group of spacetime diffeomorphisms. However, the explicit and usually cumbersome expression of Dirac observables in terms of gauge non invariant quantities is irrelevant if their Poisson algebra is sufficiently simple. Precisely that can be achieved by employing the relational formalism and a specific type of matter proposed originally by Brown and Kucha{\v r}, namely pressureless dust fields. Moreover one is able to derive a compact expression for a physical Hamiltonian that drives their physical time evolution. The resulting gauge invariant Hamiltonian system is obtained by Higgs -- ing the dust scalar fields and has an infinite number of conserved charges which force the Goldstone bosons to decouple from the evolution. In previous publications we have shown that explicitly for cosmological perturbations. In this article we analyse the spherically symmetric sector of the theory and it turns out that the solutions are in one--to--one correspondence with the class of Lemaitre--Tolman--Bondi metrics. Therefore the theory is capable of properly describing the whole class of gravitational experiments that rely on the assumption of spherical symmetry.

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 Dates: 2010
 Publication Status: Published in print
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 Identifiers: eDoc: 430680
Other: arXiv:0906.0569
DOI: 10.1088/0264-9381/27/10/105013
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: 29 Volume / Issue: 27 (10) Sequence Number: 105013 Start / End Page: - Identifier: Other: 954925513480
Other: 0264-9381