The Dyer-Roeder distance-redshift relation in inhomogeneous universes

Abstract

Using Monte-Carlo methods, we determine the best-fit value of the homogeneity parameter alpha in the Dyer-Roeder distance-redshift relation for a variety of redshifts, inhomogeneity models and cosmological parameter values. The relation between alpha and the fraction of compact objects, f_p, is found to be approximately linear. This relation can be parametrized with reasonable accuracy for all cases treated in this paper by alpha = a*f_p, where a = 0.6.

5 pages, 10 figures, submitted to Phys.Rev. D

References in corpus (1)

• The MACHO Project: Microlensing Results from 5.7 Years of LMC Observations

Cited by in corpus (13)

• (Mis-)Interpreting supernovae observations in a lumpy universe
• Inhomogeneity effects in Cosmology
• Testing a new analytic model for gravitational lensing probabilities
• Lens modelling of the strongly lensed Type Ia supernova iPTF16geu
• Can Microlensing Explain the Long-Term Optical Variability of Quasars?
• On the relationship between mean observations, spatial averages and the Dyer-Roeder approximation in Einstein-Straus models
• Mapping the inhomogeneous Universe with Standard Sirens: Degeneracy between inhomogeneity and modified gravity theories
• Supernovae as probes of cosmic parameters: estimating the bias from under-dense lines of sight
• The effect of inhomogeneities on dark energy constraints
• Statistics of gravitational lenses in the clumpy Universe
• Understanding the Dyer-Roeder approximation as a consequence of local cancellations of projected shear and expansion rate fluctuations
• The $m$-$z$ relation for type Ia supernovae, locally inhomogeneous cosmological models, and the nature of dark matter
• Type Ia supernova constraints on compact object dark matter