Determination of galaxy masses by the gravitational lens effect

Mathematics – Logic

Scientific paper

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Cosmology, Galaxies, Gravitational Lenses, Mass Distribution, Elliptical Galaxies, Quasars

Scientific paper

The travel time difference Delta t between two images caused by a gravitational lens with mass M0 is proportional to M0. A determination of M0 should therefore be possible if an observed lens situation is sufficiently understood. Using the ordinary thin lens approximation and assuming the existence of angular size distances, it is shown that the ratio Delta t/M0 does not depend on the cosmological model. If the total deflection of the lens is composed of a central part (galaxy) plus an, even strong, perturbation (cluster), which is adequately described by the first-order power expansion of its deflection component, Delta t/M0 does not depend on the size of this perturbation.

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