Other
Scientific paper
Sep 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..56.3307l&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 56, Issue 6, 15 September 1997, pp.3307-3321
Other
2
Scientific paper
Most studies of gravitational lensing and their impact on observations concentrate on lensing structures which are bounded, that is, of some finite size in an otherwise reasonably smooth background universe. In this paper, we consider a model of the universe, the ``cheese slice'' universe, where the lensing is caused by very large scale structures: large slabs of alternating pure vacuum and Friedmann-Lemaı⁁tre-Robertson-Walker (FLRW) dust. The ray tracing problem is solved and shows that only the Kasner regions will introduce a bending in the beam as it propagates. The Kasner slices also introduce anisotropic redshift effects. The optical scalar equations are used as a tool to obtain the cross-sectional area and shape of the beam. All physical properties of a bundle of rays traveling through the cheese slice model are obtained analytically. The only nonanalytical result is the evaluation, in Kasner regions, of the time variable along the beam as a function of the affine parameter. Practical model results are obtained from a computer code. Multislice models are studied and the resulting impact on astronomical observations, which includes the introduction of shear and amplification, is demonstrated.
Dyer Charles C.
Landry Sylvie
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