%0 Journal Article %1 WOS:000396438300037 %A Silva, J E G %A Maluf, R V %A Almeida, C A S %C RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS %D 2017 %I ELSEVIER %J PHYSICS LETTERS B %K Finsler Lorentz Randers gravity; spacetime} violating {Local %P 263-267 %R 10.1016/j.physletb.2017.01.025 %T A nonlinear dynamics for the scalar field in Randers spacetime %V 766 %X 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. (C) 2017 The Authors. Published by Elsevier B.V.

@article{WOS:000396438300037, 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. (C) 2017 The Authors. Published by Elsevier B.V.}, added-at = {2022-05-23T20:00:14.000+0200}, address = {RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS}, author = {Silva, J E G and Maluf, R V and Almeida, C A S}, biburl = {https://www.bibsonomy.org/bibtex/28212ca9f281894bafd16d9dec42d7300/ppgfis_ufc_br}, doi = {10.1016/j.physletb.2017.01.025}, interhash = {9b4ee2b48a0b5fa6a4cc501e113c32fd}, intrahash = {8212ca9f281894bafd16d9dec42d7300}, issn = {0370-2693}, journal = {PHYSICS LETTERS B}, keywords = {Finsler Lorentz Randers gravity; spacetime} violating {Local}, pages = {263-267}, publisher = {ELSEVIER}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {A nonlinear dynamics for the scalar field in Randers spacetime}, tppubtype = {article}, volume = 766, year = 2017 }