  Studies about a formal analogy between the gravitational and the
electromagnetic fields lead to the notion of Gravitoelectromagnetism (GEM) to
describe gravitation. In fact, the GEM equations correspond to the weak field
approximation of gravitation field. Here a non-abelian extension of the GEM
theory is considered. Using the Thermo Field Dynamics (TFD) formalism to
introduce temperature effects some interesting physical phenomena are
investigated. The non-abelian GEM Stefan-Boltzmann law and the Casimir effect
at zero and finite temperature for this non-abelian field are calculated.
