On the conformal structure of the extremal Reissner-Nordstrom spacetime

We analyse various conformal properties of the extremal Reissner-Nordstrom spacetime. In particular, we obtain conformal representations of the neighbourhoods of spatial infinity, time-like infinity and the cylindrical end-the so-called cylinders at spatial infinity and at the horizon, respectively-which are regular with respect to the conformal Einstein field equations and their associated initial data sets. We discuss possible implications of these constructions for the propagation of test fields and non-linear perturbations of the gravitational field close to the horizon.