The extended Conformal Einstein field equations with matter: the Einstein-Maxwell field

Abstract

A discussion is given of the conformal Einstein field equations coupled with matter whose energy-momentum tensor is trace-free. These resulting equations are expressed in terms of a generic Weyl connection. The article shows how in the presence of matter it is possible to construct a conformal gauge which allows to know \emph{a priori} the location of the conformal boundary. In vacuum this gauge reduces to the so-called conformal Gaussian gauge. These ideas are applied to obtain: (i) a new proof of the stability of Einstein-Maxwell de Sitter-like spacetimes; (ii) a proof of the semi-global stability of purely radiative Einstein-Maxwell spacetimes.

29 pages

References in corpus (1)

• On de Sitter-like and Minkowski-like space-times

Cited by in corpus (8)

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• Type D conformal initial data
• Deformations of three-dimensional metrics