Dynamical solutions in the 3-Form Field Background in the Nishino-Salam-Sezgin Model

Understand

We investigate the dynamical 3-form flux compactifications and their implications for cosmology in our brane world in the six-dimensional Nishino-Salam-Sezgin model, which is usually referred to as the Salam-Sezgin model.

• We take the background of the 3-form field acting on the internal space and timelike dimensions without the U(1) gauge field strength.
• The first class of solutions we discuss is the dynamical generalization of the static solutions obtained recently.
• In this class, we find that the time evolution is restricted only in the azimuthal dimension of the internal space and not in the ordinary three-dimensional one, which does not give a cosmological evolution.