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. https://resolver.caltech.edu/CaltechAUTHORS:20120420-140700303
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Abstract
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.
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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 | ||||||||||||
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Issue or Number: | 7 | ||||||||||||
Classification Code: | PACS: 04.20.Fy, 04.50.−h, 04.20.Cv. MSC: 83C05, 83C27, 83C75 | ||||||||||||
DOI: | 10.1088/0264-9381/29/7/072001 | ||||||||||||
Record Number: | CaltechAUTHORS:20120420-140700303 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120420-140700303 | ||||||||||||
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 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Ruth Sustaita | ||||||||||||
Deposited On: | 20 Apr 2012 21:20 | ||||||||||||
Last Modified: | 12 Jul 2022 19:40 |
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