Light rays in static spacetimes with critical asymptotic behavior: A variational approach
dc.contributor.author | Luisi, Valeria | |
dc.date.accessioned | 2021-07-20T17:01:09Z | |
dc.date.available | 2021-07-20T17:01:09Z | |
dc.date.issued | 2006-09-21 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 9 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.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. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13987 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Static spacetime | |
dc.subject | Light ray | |
dc.subject | Quadratic asymptotic behavior | |
dc.subject | Fermat principle | |
dc.subject | Ljusternik-Schnirelman category | |
dc.title | Light rays in static spacetimes with critical asymptotic behavior: A variational approach | |
dc.type | Article |