{\AE}ther Field, Casimir Energy and Stabilization of The Extra Dimension

Understand

In our five-dimensional cosmological model, we investigate the role of a Lorentz violating vector "{\ae}ther" field on the moduli stabilization mechanism.

• We consider the case of a space-like {\ae}ther field on a compact circle with Maxwell-type kinetic term.
• The Casimir energy of certain combinations of massless and massive bulk fields generates a stabilizing potential for the radius of the compact direction while driving the accelerated expansion in the non-compact directions.
• It is shown that the {\ae}ther field can reduce the influence of the Casimir force and slow down the oscillation of the radion field.