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  Classical GR as a topological theory with linear constraints

Gielen, S. (2011). Classical GR as a topological theory with linear constraints. Journal of Physics: Conference Series, 314: 012044.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3122-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-3124-3
Genre: Conference Paper

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1011.5513 (Preprint), 100KB
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 Creators:
Gielen, Steffen1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_persistent22              

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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 topological (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. Our analysis clarifies how the discrete constructions of spin foam models are related to a continuum theory with an action principle that is equivalent to general relativity.

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 Dates: 2010-11-242011-09-232011
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1011.5513
DOI: 10.1088/1742-6596/314/1/012044
URI: http://arxiv.org/abs/1011.5513
 Degree: -

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Title: Spanish Relativity Meeting (ERE 2010): Gravity as a Crossroad in Physics
Place of Event: Granada, Spain
Start-/End Date: 2010-09-06 - 2010-09-10
Invited: Yes

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Title: Journal of Physics: Conference Series
Source Genre: Journal
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Publ. Info: Bristol : IOP Publ.
Pages: - Volume / Issue: 314 Sequence Number: 012044 Start / End Page: - Identifier: ISSN: 1742-6588
CoNE: /journals/resource/111097776606042