Luisi, Valeria2021-07-202021-07-202006-09-21Luisi, V. (2006). Light rays in static spacetimes with critical asymptotic behavior: A variational approach. <i>Electronic Journal of Differential Equations, 2006</i>(114), pp. 1-9.1072-6691https://hdl.handle.net/10877/13987Let 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.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalStatic spacetimeLight rayQuadratic asymptotic behaviorFermat principleLjusternik-Schnirelman categoryArticle