DUALITY-SYMMETRIC GRAVITY AND SUPERGRAVITY: TESTING THE PST APPROACH

Drawing an analogy between gravity dynamical equation of mo- tion and that of Maxwell electrodynamics with an electric source we outline a way of appearance of a dual to graviton field. We propose a dimensional reduction ansatz for the field strength of this field which reproduces the cor- rect duality relations between fields arising in the dimensional reduction of D-dimensional gravity action to D-1 dimensions. Modifying the PST approach we construct a new term entering the action of D=11 duality-symmetric grav- ity and by use of the proposed ansatz we confirm the relevance of such a term to reproduce the correct duality-symmetric structure of the reduced theory. We end up extending the results to the bosonic sector of D=11 supergravity.