Magnification Probability Distribution Functions of Standard Candles in a Clumpy Universe

Abstract

Lensing effects on light rays from point light sources, such like Type Ia supernovae, are simulated in a clumpy universe model. In our universe model, it is assumed that all matter in the universe takes the form of randomly distributed objects each of which has finite size and is transparent for light rays. Monte-Carlo simulations are performed for several lens models, and we compute probability distribution functions of magnification. In the case of the lens models that have a smooth density profile or the same degree of density concentration as the spherical NFW (Navarro-Frenk-White) lens model at the center, the so-called gamma distributions fit well the magnification probability distribution functions if the size of lenses is sufficiently larger than the Einstein radius. In contrast, the gamma distributions do not fit the magnification probability distribution functions in the case of the SIS (Singular Isothermal Sphere) lens model. We find, by using the power law cusp model, that the magnification probability distribution function is fitted well using the gamma distribution only when the slope of the central density profile is not very steep. These results suggest that we may obtain information about the slope of the central density profiles of dark matter halo from the lensing effect of Type Ia supernovae.

25 pages, 12 figures, PTP accepted version

References in corpus (7)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Gravitational Lensing of High Redshift Type Ia Supernova: A Probe of Medium Scale Structure
• Lensing and Supernovae: Quantifying The Bias on the Dark Energy Equation of State
• Effects of quintessence on observations of Type Ia SuperNovae in the clumpy Universe
• Revisiting the Magnification of Type Ia Supernovae with SDSS
• Weak lensing of the high redshift SNIa sample
• Significant effects of weak gravitational lensing on determinations of the cosmology from Type Ia Supernovæ

Cited by in corpus (7)

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• A new stochastic approach to cumulative weak lensing
• Gravitational Lensing with Three-Dimensional Ray Tracing
• Constraints on small-scale cosmological fluctuations from SNe lensing dispersion
• Forecasting Cosmological Constraints from the Weak Lensing Magnification of Type Ia Supernovae Measured by the Nancy Grace Roman Space Telescope
• Reconstructing the weak lensing magnification distribution of Type Ia supernovae