In this letter we provide a new proof of a general theorem on gravitational lenses, first proven by Burke (1981) for the special case of thin lenses. The theorem states that a transparent gravitational lens with non-singular mass distribution produces an odd number of images of a point source. Our general proof shows that the topological degree finds natural and interesting applications in the theory of gravitational lenses.
An Application of the Topological Degree to Gravitational Lenses / M. Lombardi. - In: MODERN PHYSICS LETTERS A. - ISSN 0217-7323. - 13:2(1998), pp. 83-86.
An Application of the Topological Degree to Gravitational Lenses
M. LombardiPrimo
1998
Abstract
In this letter we provide a new proof of a general theorem on gravitational lenses, first proven by Burke (1981) for the special case of thin lenses. The theorem states that a transparent gravitational lens with non-singular mass distribution produces an odd number of images of a point source. Our general proof shows that the topological degree finds natural and interesting applications in the theory of gravitational lenses.
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