Deser, S. and Franklin, J. (2012) Symmetrically reduced Galileon equations and solutions. Physical Review D, 86 (4). Art. No. 047701. ISSN 1550-7998. doi:10.1103/PhysRevD.86.047701. https://resolver.caltech.edu/CaltechAUTHORS:20120831-142152025
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Abstract
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 | ||||||||||||
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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 S. D. thanks D. Fairlie for communicating unpublished results and pointing out, and R. Palais for providing a glimpse of the enormous Hessian literature.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 | ||||||||||||
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Issue or Number: | 4 | ||||||||||||
Classification Code: | PACS: 11.10.Lm; 11.10.Kk; 04.50.-h | ||||||||||||
DOI: | 10.1103/PhysRevD.86.047701 | ||||||||||||
Record Number: | CaltechAUTHORS:20120831-142152025 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20120831-142152025 | ||||||||||||
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 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | INVALID USER | ||||||||||||
Deposited On: | 31 Aug 2012 21:33 | ||||||||||||
Last Modified: | 09 Nov 2021 23:04 |
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