Lensing and caustic effects on cosmological distances
arXiv:gr-qc/9801092 · doi:10.1088/0264-9381/15/8/015
Abstract
We consider the changes which occur in cosmological distances due to the combined effects of some null geodesics passing through low-density regions while others pass through lensing-induced caustics. This combination of effects increases observed areas corresponding to a given solid angle even when averaged over large angular scales, through the additive effect of increases on all scales, but particularly on micro-angular scales; however angular sizes will not be significantly effected on large angular scales (when caustics occur, area distances and angular-diameter distances no longer coincide). We compare our results with other works on lensing, which claim there is no such effect, and explain why the effect will indeed occur in the (realistic) situation where caustics due to lensing are significant. Whether or not the effect is significant for number counts depends on the associated angular scales and on the distribution of inhomogeneities in the universe. It could also possibly affect the spectrum of CBR anisotropies on small angular scales, indeed caustics can induce a non-Gaussian signature into the CMB at small scales and lead to stronger mixing of anisotropies than occurs in weak lensing.
28 pages, 6 ps figures, epsf
References in corpus (13)
- GRAVITATIONAL LENSING EFFECT ON COSMIC MICROWAVE BACKGROUND ANISOTROPIES: A POWER SPECTRUM APPROACH
- Light Propagation in Arbitrary Spacetimes and the Gravitational Lens Approximation
- Gravitational Lensing of Distant Field Galaxies by Rich Clusters: I. -- Faint Galaxy Redshift Distributions
- The Redshift Distribution and Luminosity Functions of Galaxies in the Hubble Deep Field
- Effect of Large-Scale Structure on Multiply Imaged Sources
- Gravitational Lensing of Distant Field Galaxies by Rich Clusters: II. -- Cluster Mass Distributions
- Invaded cluster algorithm for Potts models
- Shrinking II -- The Distortion of the Area Distance-Redshift Relation in Inhomogeneous Isotropic Universes
- Blending of Light in Gravitational Microlensing Events
- A candidate gravitational lens in the Hubble Deep Field
- HST Observations of Gravitationally Lensed Features in the Rich Cluster Ac114
- Caustics of Compensated Spherical Lens Models
- The Effect of Gravitational Scattering on the Anisotropy of the Cosmic Background Radiation
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