Harmonic and Wave Maps Coupled with Einstein's gravitation

Abstract

In this paper we discuss the coupled dynamics, following from a suitable Lagrangian, of a harmonic or wave map $\varphi$ 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.

23 pages, International Journal of Theoretical Physics March 2013

References in corpus (1)

• On the existence of self-similar spherically symmetric wave maps coupled to gravity

Cited by in corpus (1)

• On the Bach and Einstein equations in presence of a field