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Published August 1, 2012 | Submitted + Published
Journal Article Open

Symmetrically reduced Galileon equations and solutions

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.

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 S. D. thanks D. Fairlie for communicating unpublished results and pointing out, and R. Palais for providing a glimpse of the enormous Hessian literature.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.

Attached Files

Published - Deser2012p19322Phys_Rev_D.pdf

Submitted - 1206.3217.pdf

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Created:
August 19, 2023
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