Classical Kalb-Ramond field theory in curved spacetimes

We propose to develop the Kalb-Ramond theory in four-dimensional spacetime at the level of a classical field theory by following the same formal development steps as in Maxwell theory of standard electrodynamics. Solutions of Kalb-Ramond theory in the presence of static sources in various curved spacetimes are then analyzed. A question that we address here is that of a possible Kalb-Ramond polarization in curved spacetimes, like one can encounter a dielectric polarization in ordinary Maxwell electrodynamics in certain types of spacetimes.

Automated summary

We propose to develop the Kalb-Ramond theory in a four-dimensional spacetime using classical field theory methods similar to those in Maxwell theory. The solutions of the Kalb-Ramond theory with static sources in curved spacetimes are analyzed, focusing on the potential Kalb-Ramond polarization effect in these spacetimes.