Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10735213 | Journal of Geometry and Physics | 2012 | 23 Pages |
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 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Christian Lübbe, Juan Antonio Valiente Kroon,