On the conformal structure of the extremal Reissner-Nordström spacetime

Abstract

We analyse various conformal properties of the extremal Reissner-Nordström spacetime. In particular, we obtain conformal representations of the neighbourhoods of spatial infinity, timelike 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.

35 pages, 3 figures

References in corpus (1)

• The wave equation on the extreme Reissner-Nordström black hole

Cited by in corpus (2)

• Conformal scalar fields, isotropic singularities and conformal cyclic cosmologies
• Summary of session A4: Complex and conformal methods in classical and quantum gravity