MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Electromagnetic resolution of curvature and gravitational instantons

Naresh K. Dadhich, Kishore Marathe and Giuseppe Marrucci


We study the electromagnetic resolution of the Riemann curvatureon a space-time manifold M with metric g into its electric and magnetic parts relative to a unit timelike vector with respect to g. There exists a duality transformation between the active and passive electric parts which leaves invariant a subclass of field equations which correspond to the generalized gravitational instanton equations. We also discuss various geometric formulations of the equations of gravitational instantons and their generalization which includes as a special case the classical vacuum Einstein equations. Some special solutions and their physical significance are also considered.

04.20-, 02.40-

Related publications

1999 Repository Open Access
Naresh K. Dadhich, Kishore B. Marathe and Giuseppe Martucci

Electromagnetic resolution of curvature and gravitational instantons

In: Il nuovo cimento della Società Italiana di Fisica / B, 114 (1999) 7, pp. 793-806