  Recently a great deal of interest in field theories formulated in a Lorentz
violating framework has been developed. Here the Very Special Relativity (VSR)
is considered. The main aspect in the VSR proposal is that laws of physics are
invariant under the subgroups of the Poincar\'e group preserving the basic
elements of special relativity. An important point is that the photon acquires
a mass. In this context, the energy-momentum tensor for the electromagnetic
field is calculated. From this, the Stefan-Boltzmann law and Casimir effect at
finite temperature in VSR are obtained. The effects of temperature are
introduced using the Thermo Field Dynamics (TFD) formalism. A comparative
analysis with the Casimir effect for the standard electromagnetic case is
developed.
