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We investigate the behaviour of a massive scalar field under the influence ofa Coulomb-type and central linear central potentials inserted in theKlein-Gordon equation by modifying the mass term in the spacetime with Lorentzsymmetry violation. We consider the presence of a background constant vectorfield which characterizes the breaking of the Lorentz symmetry and show thatanalytical solutions to the Klein-Gordon equation can be achieved.

A central potential with a massive scalar field in a Lorentz symmetry violation environment