Higher dimensional Taub-nuts and Taub-bolts in Einstein-Maxwell gravity

Abstract

We present a class of higher dimensional solutions to Einstein-Maxwell equations in d dimensions. These solutions are asymptotically locally flat, de Sitter, or anti-de Sitter spacetimes. The solutions we obtained depend on two extra parameters other than the mass and the nut charge. These two parameters are the electric charge q and the electric potential at infinity, V, which has non-trivial contribution. We analyse the conditions one can impose to obtain Taub-nut or Taub-bolt spacetimes, including the four-dimensional case. We found that, in the nut case, these conditions coincide with that coming from the regularity of the one-form potential at the horizon. Furthermore, the mass parameter for the higher dimensional solutions depends on the nut charge and the electric charge or the potential at infinity. © 2006 IOP Publishing Ltd.