Non-Abelian Gravitoelectromagnetism and Applications at Finite Temperature

Abstract EN

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 the 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 temperatures for this non-abelian field are calculated.