Harmonic and Wave Maps Coupled with Einstein's Gravitation
harmonic map, wave map, energy conditions., energy conditions
Abstract
In this paper we discuss the coupled dynamics, following from a suitable Lagrangian, of a harmonic or wave map ∅ and Einstein's gravitation described by a metric g. The main results concern energy conditions for wave maps, harmonic maps from warped product manifolds, and wave maps from wave-like Lorentzian manifolds.
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2013-01-21
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