In this paper we provide a new proof of a general theorem on gravitational lenses, first shown 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 and Brouwer’s degrees find natural and interesting applications in the theory of gravitational lenses.
A new proof of the odd number of images generated by a non-singular gravitational lens / M. Lombardi. - In: IL NUOVO CIMENTO B. - ISSN 2037-4895. - 124:4(2009 Apr), pp. 363-373.
A new proof of the odd number of images generated by a non-singular gravitational lens
M. LombardiPrimo
2009
Abstract
In this paper we provide a new proof of a general theorem on gravitational lenses, first shown 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 and Brouwer’s degrees find natural and interesting applications in the theory of gravitational lenses.
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