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  Classical general relativity as BF-Plebanski theory with linear constraints

Gielen, S., & Oriti, D. (2010). Classical general relativity as BF-Plebanski theory with linear constraints. Classical and quantum gravity, 27: 185017. doi:10.1088/0264-9381/27/18/085017.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-9DC5-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-9DC8-6
Genre: Journal Article

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1004.5371 (Preprint), 245KB
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 Creators:
Gielen, Steffen1, Author              
Oriti, Daniele1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:67201              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: We investigate a formulation of continuum 4d gravity in terms of a constrained BF theory, in the spirit of the Plebanski formulation, but involving only linear constraints, of the type used recently in the spin foam approach to quantum gravity. We identify both the continuum version of the linear simplicity constraints used in the quantum discrete context and a linear version of the quadratic volume constraints that are necessary to complete the reduction from the topological theory to gravity. We illustrate and discuss also the discrete counterpart of the same continuum linear constraints. Moreover, we show under which additional conditions the discrete volume constraints follow from the simplicity constraints, thus playing the role of secondary constraints.

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 Dates: 2010-04-292010
 Publication Status: Published in print
 Pages: 15
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1004.5371
DOI: 10.1088/0264-9381/27/18/085017
 Degree: -

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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: - Volume / Issue: 27 Sequence Number: 185017 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925513480_1