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Canonical analysis and stability of Lanczos–Lovelock gravity

Deser, S. and Franklin, J. (2012) Canonical analysis and stability of Lanczos–Lovelock gravity. Classical and Quantum Gravity, 29 (7). Art. No. 072001. ISSN 0264-9381. doi:10.1088/0264-9381/29/7/072001.

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We perform a spacetime analysis of the D > 4 quadratic curvature Lanczos–Lovelock (LL) model, exhibiting its dependence on intrinsic/extrinsic curvatures, lapse and shifts. As expected from general covariance, the field equations include D constraints, of zeroth and first time derivative order. In the 'linearized'—here necessarily cubic—limit, we give an explicit formulation in terms of the usual ADM metric decomposition, incidentally showing that time derivatives act only on its transverse-traceless spatial components. Unsurprisingly, pure LL has no Hamiltonian formulation, nor are even its—quadratic—weak-field constraints easily soluble. Separately, we point out that the extended, more physical R + LL model is stable—its energy is positive—due to its supersymmetric origin and ghost-freedom.

Item Type:Article
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URLURL TypeDescription DOIArticle Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 2012 Institute of Physics Publishing Ltd. Received 26 October 2011, in final form 9 February 2012. Published 24 February 2012. The work of SD was supported in part by NSF PHY-1064302 and DOE DE-FG02-16492ER40701 grants.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-16492ER40701
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Other Numbering System NameOther Numbering System ID
Issue or Number:7
Classification Code:PACS: 04.20.Fy, 04.50.−h, 04.20.Cv. MSC: 83C05, 83C27, 83C75
Record Number:CaltechAUTHORS:20120420-140700303
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Official Citation:Canonical analysis and stability of Lanczos–Lovelock gravity S Deser and J Franklin 2012 Class. Quantum Grav. 29 072001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:30238
Deposited By: Ruth Sustaita
Deposited On:20 Apr 2012 21:20
Last Modified:12 Jul 2022 19:40

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