In this paper we investigate the bosonic Casimir effect in a
Lorentz-violating symmetry scenario. The theoretical model adopted consists of
a real massive scalar quantum field confined in a region between two large
parallel plates, having its dynamics governed by a modified Klein-Gordon
equation that presents a Lorentz symmetry breaking term. In this context we
admit that the quantum field obeys specific boundary conditions on the plates.
The Lorentz-violating symmetry is implemented by the presence of an arbitrary
constant space-like vector in a CPT-even aether-like approach, considering a
direct coupling between this vector with the derivative of the field in higher
order. The modification on the Klein-Gordon equation produces important
corrections on the Casimir energy and pressure. Thus, we show that these
corrections strongly depend on the order of the higher derivative term and the
specific direction of the constant vector, as well as the boundary conditions
considered.Comment: 21 pages, 5 figure