Gravitational lensing, finite galaxy cores, and the cosmological constant

Statistics – Computation

Scientific paper

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Cosmology, Galactic Nuclei, Gravitational Lenses, Quasars, Astronomical Models, Computational Astrophysics, Elliptical Galaxies, Red Shift, Spiral Galaxies, Universe

Scientific paper

The sensitivity of the optical depth for gravitational lensing of distant quasars to the role of finite galaxy core radii (including uncertainties) and the nature of the cosmological model used to calculate the redshift-distance relation are reexamined. A new closed form expression is derived for optical depths in the filled beam approximation, numerical estimates are made in the empty beam approximation, and analytical approximations are derived which help explore the effect of the core radius-luminosity relation on the optical depth. The results are used to determine numerically both differential and integrated optical depths for flat universes with various values of the cosmological constant. The limits on the cosmological constant are discussed.

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