Note on the Stabilities of the Light-like Galileon Solutions
arXiv:1202.5769 · doi:10.1103/PhysRevD.85.104005
Abstract
Light-like galileon solutions have been used to investigate the chronology problem in galileon-like theories, and in some cases may also be considered as solitons, evading a non-existence constraint from a zero-mode argument. Their stabilities have been analyzed via "local" approximation, which appears to suggest that all these light-like solutions are stable. We re-analyze the stability problem by solving the linear perturbation equation \emph{exactly}, and point out that the finite energy condition is essential for the light-like solitons to be stable. We also clarify potential ghost instabilities and why the zero-mode argument can not be naively generalized to include the light-like solitons.
6 pages, minor improvement of wording in page 3
References in corpus (10)
- Resummation of Massive Gravity
- Covariant Galileon
- DBI and the Galileon reunited
- Multi-field galileons and higher co-dimension branes
- Bouncing Galileon Cosmologies
- Multi-galileons, solitons and Derrick's theorem
- Derrick's theorem beyond a potential
- Stability of Closed Timelike Curves in a Galileon Model
- Comments on Galileons
- Classical Stability of the Galileon
Cited by in corpus (8)
- Beyond the Cosmological Standard Model
- Dynamical analysis of generalized Galileon cosmology
- Formation of caustics in k-essence and Horndeski theory
- Proof of the most general multiple-scalar field theory in Minkowski space-time free of Ostrogradski Ghost
- Kinks in higher derivative scalar field theory
- Plane waves in the generalized Galileon theory
- Solitons in generalized galileon theories
- Stable static structures in models with higher-order derivatives