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Symmetrically reduced Galileon equations and solutions

Deser, S. and Franklin, J. (2012) Symmetrically reduced Galileon equations and solutions. Physical Review D, 86 (4). Art. No. 047701. ISSN 1550-7998.

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The maximally complicated arbitrary-dimensional “maximal” Galileon field equations simplify dramatically for symmetric configurations. Thus, spherical symmetry reduces the equations from the D- to the two-dimensional (Monge-Ampere) equation, axial symmetry to its cubic extension, etc. We can then obtain explicit solutions, such as spherical or axial waves, and relate them to the (known) general, but highly implicit, lower-D solutions.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 2012 American Physical Society. Received 15 June 2012; published 1 August 2012. S. D. thanks D. Fairlie for communicating unpublished results and pointing out, and R. Palais for providing a glimpse of the enormous Hessian literature. S. D. was supported in part by NSF PHY-1064302 and DOE DE-FG02-164 92ER40701 grants.
Group:Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-16492ER40701
Issue or Number:4
Classification Code:PACS: 11.10.Lm; 11.10.Kk; 04.50.-h
Record Number:CaltechAUTHORS:20120831-142152025
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Official Citation:Deser, S. and J. Franklin (2012). "Symmetrically reduced Galileon equations and solutions." Physical Review D 86(4): 047701.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:33791
Deposited By: Aucoeur Ngo
Deposited On:31 Aug 2012 21:33
Last Modified:03 Oct 2019 04:13

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