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.
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Titolo: | Gravitational lensing in general relativity via bifurcation theory |
Autori: | |
Data di pubblicazione: | 2004 |
Rivista: | |
Abstract: | 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. |
Handle: | http://hdl.handle.net/11581/115242 |
Appare nelle tipologie: | Articolo |
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