Light rays in static spacetimes with critical asymptotic behavior: A variational approach

Let $mathcal{M}=mathcal{M}_{0}imes mathbb{R}$ be a Lorentzian manifold equipped with the static metric $langle cdot ,cdot angle _{z}=langle cdot ,cdot angle -eta (x)dt^{2}$. The aim of this paper is investigating the existence of lightlike geodesics joining a point $z_{0}=(x_{0},t_{0})$ to a line $g...

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Bibliographic Details
Main Author: Valeria Luisi
Format: Article
Language:English
Published: Texas State University 2006-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/114/abstr.html