On Scattering for Small Data of $$\varvec{2 + 1}$$ 2 + 1 -Dimensional Equivariant Einstein-Wave Map System

On Scattering for Small Data of $$\varvec{2 + 1}$$ 2 + 1 -Dimensional Equivariant... We consider the Cauchy problem of $$2+1$$ 2 + 1 equivariant wave maps coupled to Einstein’s equations of general relativity and prove that two separate (nonlinear) subclasses of the system disperse to their corresponding linearized equations in the large. Global asymptotic behavior of $$2+1$$ 2 + 1 Einstein-wave map system is relevant because the system occurs naturally in $$3+1$$ 3 + 1 vacuum Einstein’s equations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annales Henri Poincaré Springer Journals

On Scattering for Small Data of $$\varvec{2 + 1}$$ 2 + 1 -Dimensional Equivariant Einstein-Wave Map System

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Physics; Theoretical, Mathematical and Computational Physics; Dynamical Systems and Ergodic Theory; Quantum Physics; Mathematical Methods in Physics; Classical and Quantum Gravitation, Relativity Theory; Elementary Particles, Quantum Field Theory
ISSN
1424-0637
eISSN
1424-0661
D.O.I.
10.1007/s00023-017-0599-5
Publisher site
See Article on Publisher Site

Abstract

We consider the Cauchy problem of $$2+1$$ 2 + 1 equivariant wave maps coupled to Einstein’s equations of general relativity and prove that two separate (nonlinear) subclasses of the system disperse to their corresponding linearized equations in the large. Global asymptotic behavior of $$2+1$$ 2 + 1 Einstein-wave map system is relevant because the system occurs naturally in $$3+1$$ 3 + 1 vacuum Einstein’s equations.

Journal

Annales Henri PoincaréSpringer Journals

Published: Jul 12, 2017

References

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