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arXiv · 2205.01101

Einstein-Yang-Mills equations in the double null framework

Puskar Mondal·Shing-Tung Yau
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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.

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Puskar Mondal, Shing-Tung Yau. 2022-05-02. Einstein-Yang-Mills equations in the double null framework. https://arxiv.org/abs/2205.01101

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