Global Stability for the Charge-Scalar Field on a curved background

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

05 September 11:00 - 12:00

Christopher Kauffman - Imperial College London

We prove global stability for the Charge-Scalar Field system on a class of fixed background metrics with decay estimates consistent with the behavior of small-data solutions to Einstein's Vacuum Equations in harmonic coordinates, with corresponding decay results analogous to those established in Minkowski space by Lindblad and Sterbenz, and refined by later authors. The proof relies on a single-parameter modification of the standard Lorentz fields which depends on the mass associated with the metric.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


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