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WAVE MAPS WITH AND WITHOUT SYMMETRIES
- Publisher
- Springer Journals
- 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
- DOI
- 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 Poincaré – Springer Journals
Published: Jul 12, 2017