Roberto Giambò et al 2004 Nonlinearity 17 117 doi:10.1088/0951-7715/17/1/008
Roberto Giambò, Fabio Giannoni and Paolo Piccione1
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In a Lorentzian manifold, conjugate points along a lightlike are endpoints of homotopies of lightlike geodesics, up to first order infinitesimals. When studying phenomena on a very large scale in general relativity, like the gravitational lensing effect, the first order approximation is not a valid approach. In this paper we discuss a multiplicity result for light rays issuing from a light source and reaching an observer placed at a conjugate point of a lightlike geodesic using Krasnosel'skii–Rabinowitz bifurcation theory.
53C50 Lorentz manifolds, manifolds with indefinite metrics
83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories
Issue 1 (January 2004)
Received 17 December 2002, in final form 20 May 2003
Published 6 October 2003
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