Stability of Closed Timelike Curves in a Galileon Model

Details Stability of Closed Timelike Curves in a Galileon Model Stability of Closed Timelike Curves in a Galileon Model

2011-12-06

arxiv.org/abs/1112.1349v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures

Scientific paper

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.

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