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Closed Timelike Curves in the Galileon Model
High Energy Physics - Theory · Submitted 3 Jun 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this note we present a solution of these models which also admits closed timelike curves (CTCs).
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The abstract, sentence by sentence
It has long been known that generic solutions to the nonlinear DGP and Galileon models admit superluminal propagation. In this note we present a solution of these models which also admits closed timelike curves (CTCs). We observe that these CTCs only arise when, according to each observer, there exists some region in which the higher derivative terms are larger than the 2-derivative kinetic term.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It has long been known that generic solutions to the nonlinear DGP and Galileon models admit superluminal propagation. | background 1.00 | 0.03 | 0.04 | asserted 1.00 |
| s1 | In this note we present a solution of these models which also admits closed timelike curves (CTCs). | contribution 0.90 | 0.95 | 0.81 | asserted 1.00 |
| s2 | We observe that these CTCs only arise when, according to each observer, there exists some region in which the higher derivative terms are larger than the 2-derivative kinetic term. | result 0.91 | 0.91 | 0.50 | asserted 0.99 |
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The paper
Original abstract
It has long been known that generic solutions to the nonlinear DGP and Galileon models admit superluminal propagation. In this note we present a solution of these models which also admits closed timelike curves (CTCs). We observe that these CTCs only arise when, according to each observer, there exists some region in which the higher derivative terms are larger than the 2-derivative kinetic term.
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References
How the literature uses it
20 arXiv papers cite this in 30 sentences
Papers citing it · 22 sentences without a confident label
Contests it 1 paper
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However, the construction of [ref] is ad hoc, since it assumes (without showing it) the existence of a particular non-trivial configuration of the background solution with left and right moving cylinders.].
Emergence of ghosts in Horndeski theory · Emergence of ghost · contest 0.80
Builds on it 1 paper
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We will build on the principles of the proposal of Ref. [ref] to construct a CTC for the Galileon.
Chronology Protection in Galileon Models and Massive Gravity · Galileon Fluctuations · 0.99
Cites it as support 1 paper
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A small value of $a$ is useful for, among other things, avoiding the potential formation of closed timelike curves [ref] .
Neutrino Dispersion Relations from a Dark Energy Model · The Model · 0.96
Cites it as background 4 papers
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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] .
Note on the Stabilities of the Light-like Galileon Solutions · Introduction · 0.95
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The first example is the fluctuation of the plane wave background (see e.g. [ref] , [ref] ).
Unification of Galileon Dualities · Fluctuations of the plane wave background · 0.94
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See for instance [ref] for discussions regarding the existence and stability of these solutions in massive gravity and the related galilean theories.
Massive Gravity: A Lorentz-Symmetric Aether · Lorentz symmetric aether · 0.82
What it cites · 12 sentences without a confident label
Builds on 1 paper
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The simplest possibility, mirroring the proposal in Ref. [ref] , which proposed the extension of their construction to this model as an open problem[The existence of CTCs in the Galileon model was very recently posed as an open problem in Ref. [ref] .], would be to consider two rods traveling in opposite directions with an impact parameter $2B$ as seen in Fig. [ref].
Galilean Genesis: an alternative to inflation · Assembling rods to make a configuration with CTCs · 0.82
Compares with 2 papers
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Notice that, unlike the superluminal solutions in Refs. [ref] , our solution requires no external stress tensor and is therefore a generic feature of all Galileon models.
Superluminality in DGP · A single bar · 1.00
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Notice that, unlike the superluminal solutions in Refs. [ref] , our solution requires no external stress tensor and is therefore a generic feature of all Galileon models.
Energy's and amplitudes' positivity · A single bar · 1.00
Cites as support 1 paper
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In fact, superluminal propagation is generic in these solutions, as was shown in Ref. [ref] .
Energy's and amplitudes' positivity · The Galileon Models · 0.97
Cites as background 2 papers
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In this section we will briefly review those aspects of the Galileon models [ref] which will be relevant for our example.
The galileon as a local modification of gravity · The Galileon Models · 0.99
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In this short note we will consider the Galileon models [ref] , which are higher-derivative theories of a single scalar field generalizing a conjectured short distance limit[It may be that the actual short distance limit contains additional couplings which modify an equation of motion and also add degress of freedom and another equation of motion [ref] .] of the DGP model [ref] .
(De)coupling Limit of DGP · Introduction · 0.96
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