How to Define a Lens Map in a Spacetime Setting

Details How to Define a Lens Map in a Spacetime Setting How to Define a Lens Map in a Spacetime Setting

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.2107p&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

In a general-relativistic spacetime (Lorentzian manifold), gravitational lensing can be characterized by a lens map, in analogy to the lens map of the quasi-Newtonian approximation formalism. The lens map is defined on the celestial sphere of the observer (or on part of it) and it takes values in a two-dimensional manifold representing a two-parameter family of worldlines. Here we consider a special situation, coded into the definition of what we call simple lensing neighborhoods, in which the lens map has well-defined global properties. Among other things, this approach leads to a new formulation of the well-known result that a transparent gravitational lens produces an odd number of images.

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