Einstein-Yang-Mills equations in the double null framework

2022/05/02 by Mondal, Puskar, Yau, Shing-Tung · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2205.01101

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 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.

Cited by

• On the local existence for the characteristic initial value problem for the Einstein-Dirac system

Related

• Construction of Initial Data Associated to the Characteristic Initial Value Problem for the Einstein-Yang-Mills-Higgs System
• On the Local Existence for the Characteristic Initial Value Problem in\n General Relativity
• Energy estimate for initial data on a characteristic cone
• Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry
• Global existence of the solution to Einstein-Yang-Mills-Higgs equations with small initial datum