The difference in light travel time between gravitational lens images. I - Generalization of the wavefront method to arbitrary deflectors and inhomogeneous universes

Details The difference in light travel time between gravitational lens images. I - Generalization of the wavefront method to arbitrary deflectors and inhomogeneous universes The difference in light travel time between gravitational lens images. I - Generalization of the wavefront method to arbitrary deflectors and inhomogeneous universes

Nov 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...128..156k&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 128, no. 1, Nov. 1983, p. 156-161. Sponsorship: Deutsche Forschungsgemeinschaf

Physics

Optics

35

Cosmology, Gravitational Lenses, Light Speed, Quasars, Red Shift, Geometrical Optics, Optical Paths, Time Dependence, Wave Fronts

Scientific paper

There is a difference in light travel time between the images of a source, seen through a gravitational lens (deflector), which in general depends on the location of the source, the mass distribution, the redshifts, the Hubble parameter, and the cosmological world model. Expressions for the time difference are given for an arbitrary mass distribution in the deflector, using the wavefront method. It is shown that the dependence of the time difference on the world model can be expressed by a factor, the so-called cosmological correction function T, which is independent of the mass distribution in the deflector and the Hubble parameter. Values of T, dependent on the redshifts of source and deflector, have been calculated for various world models, with special emphasis on the double QSO 0957 + 561 A, B. It is found that local inhomogeneities (evacuated tube) along the light path can influence the value of T by up to 20 percent.

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