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

Date

2006-09-21

Authors

Luisi, Valeria

Journal Title

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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. <i>Electronic Journal of Differential Equations, 2006</i>(114), pp. 1-9.

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Attribution 4.0 International

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