A nonlinear dynamics for the scalar field in Randers spacetime
Abstract
We investigate the properties of a real scalar field in the Finslerian Randers spacetime, where the local Lorentz violation is driven by a geometrical background vector. We propose a dynamics for the scalar field by a minimal coupling of the scalar field and the Finsler metric. The coupling is intrinsically defined on the Randers spacetime, and it leads to a non-canonical kinetic term for the scalar field. The nonlinear dynamics can be split into a linear and nonlinear regimes, which depend perturbatively on the even and odd powers of the Lorentz-violating parameter, respectively. We analyze the plane-waves solutions and the modified dispersion relations, and it turns out that the spectrum is free of tachyons up to second-order.
Keywords
Cite
@article{arxiv.1511.00769,
title = {A nonlinear dynamics for the scalar field in Randers spacetime},
author = {J. E. G. Silva and R. V. Maluf and C. A. S. Almeida},
journal= {arXiv preprint arXiv:1511.00769},
year = {2017}
}
Comments
14 pages, 2 figures;shorted version, corrected typos, figures modified, results unchanged; version to appear in PLB