A nonlinear dynamics for the scalar field in Randers spacetime

作者：Silva J E G; Maluf R V; Almeida C A S^*

来源：Physics Letters B, 2017, 766: 263-290.

DOI：10.1016/j.physletb.2017.01.025

• Local Lorentz violating gravity
• Finsler gravity
• Randers spacetime

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 secondorder.

• 出版日期2017-3-10
• 单位中国科学院