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Einstein-Yang-Mills equations in the double null framework
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abstract
We prove a semi-global gauge-invariant estimate for the solutions of the characteristic initial value problem associated with the coupled Einstein-Yang-Mills equations. In particular, we prove the existence of \textit{a} future development of regular initial data on a pair of incoming and outgoing null hypersurfaces emanating from a spacelike topological $2$-sphere. This marks the first study of the characteristic initial value problem of Einstein's equations with a non-linear source.
Forward citations
Cited by 3 Pith papers
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On the local existence for the characteristic initial value problem for the Einstein-Dirac system
A claimed local existence theorem for the characteristic initial value problem of the Einstein-Dirac system, with most proof steps deferred to an unpublished companion.
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Dynamical Formation of Black Holes due to Boundary Effect in Vacuum Gravity
The authors argue that vacuum Einstein evolution can push a boundary-curvature quantity across Yau's threshold, forcing an apparent horizon to form without gravitational collapse.
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Overview of the proof of the exterior stability of the $(1+3)$-Minkowski space-time governed by the Einstein-Yang-Mills system in the Lorenz gauge
Exterior stability of Minkowski spacetime for the Einstein-Yang-Mills system in the Lorenz gauge is claimed for small data, with a proof outline built on a null frame decomposition.
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