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arXiv · 1102.2399

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

Christian Lübbe·Juan Antonio Valiente Kroon
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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.

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Christian Lübbe, Juan Antonio Valiente Kroon. 2011-02-11. The extended Conformal Einstein field equations with matter: the Einstein-Maxwell field. https://doi.org/10.1016/j.geomphys.2012.01.009

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