On the effects of rotation and violation of the Lorentz symmetry on the scalar field

Abstract

We deal with the effects of rotation and violation of the Lorentz symmetry on the scalar field from a geometrical point of view. By choosing a fixed spacelike four-vector and a fixed timelike four-vector, we obtain two modified line elements for the Minkowski space–time. In addition, we consider a uniformly rotating frame. Then, we analyze how the effects of rotation and violation of the Lorentz symmetry determine the upper limit of the radial coordinate. Further, we analyze the effects of rotation and violation of the Lorentz symmetry on the confinement of the scalar field to a hard-wall confining potential.