RECORD
Note on the Stabilities of the Light-like Galileon Solutions
High Energy Physics - Theory · Submitted 26 Feb 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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. | background 1.00 | 0.06 | 0.03 | hedged possibility 0.77 |
| s1 | Their stabilities have been analyzed via "local" approximation, which appears to suggest that all these light-like solutions are stable. | background 0.96 | 0.11 | 0.04 | hedged possibility 0.97 |
| s2 | 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. | contribution 0.82 | 0.96 | 0.87 | asserted 1.00 |
| s3 | We also clarify potential ghost instabilities and why the zero-mode argument can not be naively generalized to include the light-like solitons. | contribution 0.75 | 0.87 | 0.09 | asserted 0.97 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original 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.
Human review
References
How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it
Cites it as background 2 papers
-
In particular, one can investigate the universe evolution and late-time acceleration [ref] , inflation [ref] and non-Gaussianities [ref] , the reheating of the post-inflationary universe [ref] , the growth history [ref] , the cosmological bounce [ref] , the cosmological perturbations [ref] , the spherical solutions [ref] , the stability issues [ref] , and also he can use observational data in order to constrain the parameters of the theory [ref] .
Dynamical analysis of generalized Galileon cosmology · Introduction · 0.95
-
Solitons in galileon systems are studied in [ref] .
Beyond the Cosmological Standard Model · The Vainshtein mechanism: galileons · 0.85
What it cites · 20 sentences without a confident label
Contests 2 papers
-
Clearly, when $a(v)<-1$, there is a ghost instability, which was neglected in [ref] .
Moving Stable Solitons in Galileon Theory · Ghost instabilities · contest 0.91
-
Also, we will point out that ghost instabilities will develop for certain configurations, which has been neglected in [ref] , and clarify why the zero-mode argument of [ref] can not be naively generalized to include the light-like soliton case.
Derrick's theorem beyond a potential · Introduction · contest 0.87
Cites as background 9 papers
-
The galileon model is a scalar field theory that possesses a novel field symmetry $π→π+ b_μx^μ+ c$, $b_μ, c = const$ [ref] .
The galileon as a local modification of gravity · Introduction · 1.00
-
These light-like solutions have been used to investigate closed time-like curves and their implications for the chronology protection problem in various theories [ref] .
Closed Timelike Curves in the Galileon Model · Introduction · 0.95
-
These light-like solutions have been used to investigate closed time-like curves and their implications for the chronology protection problem in various theories [ref] .
Chronology Protection in Galileon Models and Massive Gravity · Introduction · 0.95
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.