Light rays in static spacetimes with critical asymptotic behavior: A variational approach
Date
2006-09-21
Authors
Luisi, Valeria
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Let M = M0 x ℝ be a Lorentzian manifold equipped with the static metric ⟨•, •⟩z = ⟨•, •⟩ - β(x)dt2. The aim of this paper is investigating the existence of lightlike geodesics joining a point z0 = x0, t0 to a line γ = {x1} x ℝ when coefficient β has a quadratic asymptotic behavior by means of a variational approach.
Description
Keywords
Static spacetime, Light ray, Quadratic asymptotic behavior, Fermat principle, Ljusternik-Schnirelman category
Citation
Luisi, V. (2006). Light rays in static spacetimes with critical asymptotic behavior: A variational approach. Electronic Journal of Differential Equations, 2006(114), pp. 1-9.
Rights
Attribution 4.0 International