Applications of the Gauss-Bonnet theorem to gravitational lensing

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dc.creatorGibbons, G W
dc.creatorWerner, M C
dc.date2008-07-05
dc.date.accessioned2026-07-07T12:14:55Z
dc.date.available2026-07-07T12:14:55Z
dc.descriptionIn this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfect non-relativistic fluid, in the weak deflection limit. We find that the focusing of the light rays emerges here as a topological effect, and we introduce a new method to calculate the deflection angle from the Gaussian curvature of the optical metric. As examples, the Schwarzschild lens, the Plummer sphere and the singular isothermal sphere are discussed within this framework.
dc.description10 pages, 1 figure, IoP style
dc.identifierhttps://arxiv.org/abs/0807.0854
dc.identifierhttp://arxiv.org/abs/0807.0854
dc.identifierClass.Quant.Grav.25:235009,2008
dc.identifierdoi:10.1088/0264-9381/25/23/235009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211356
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleApplications of the Gauss-Bonnet theorem to gravitational lensing
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