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Einstein-Yang-Mills equations in the double null framework
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Einstein-Yang-Mills equations in the double null framework
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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theorem for the characteristic initial value problem of the Einstein-Dirac system, with most proof steps deferred to an unpublished companion.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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Abstract null hypersurfaces and characteristic initial value problems in General Relativity
Develops a hypersurface data formalism as a unifying framework for the characteristic Cauchy problem, Killing initial data, metric expansion, and conformal null infinity in general relativity.
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