Stability of Closed Timelike Curves in a Galileon Model
arXiv:1112.1349 · doi:10.1007/JHEP03(2012)009
Abstract
Recently Burrage, de Rham, Heisenberg and Tolley have constructed eternal, classical solutions with closed timelike curves (CTCs) in a Galileon model coupled to an auxiliary scalar field. These theories contain at least two distinct metrics and, in configurations with CTCs, two distinct notions of locality. As usual, globally CTCs lead to pathologies including nonlocal constraints on the initial Cauchy data. Locally, with respect to the gravitational metric, we use a WKB approximation to explicitly construct small, short-wavelength perturbations without imposing the nonlocal constraints and observe that these perturbations do not grow and so do not lead to an instability.
10 pages, no figures
References in corpus (15)
- Resummation of Massive Gravity
- Covariant Galileon
- Causality, Analyticity and an IR Obstruction to UV Completion
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Imperfect Dark Energy from Kinetic Gravity Braiding
- Can dark energy evolve to the Phantom?
- G-Bounce
- Bouncing Galileon Cosmologies
- Constraints on the Sound Speed of Dynamical Dark Energy
- On the Possibility of Superluminal Neutrino Propagation
- Over-Rotating Black Holes, Godel Holography and the Hypertube
- Relativistic Superluminal Neutrinos
- Price for Environmental Neutrino-Superluminality
- Neutrino Dispersion Relations from a Dark Energy Model
- Background Dependent Lorentz Violation from String Theory
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- Unbraiding the Bounce: Superluminality around the Corner
- Potential-driven Galileon inflation
- Formation of caustics in k-essence and Horndeski theory
- Plane waves in the generalized Galileon theory
- Chaotic Inflation and Reheating in Generalized Scalar-Tensor Gravity
- Moving Stable Solitons in Galileon Theory
- Note on the Stabilities of the Light-like Galileon Solutions
- Causality and Stability from Acoustic Geometry
- Potential-driven Inflation with Disformal Coupling to Gravity
- Massive Gravity: A Lorentz-Symmetric Aether