Strong lensing probability in TeVeS theory

TL;DR

This paper evaluates the probability of strong gravitational lensing in TeVeS cosmology, comparing theoretical predictions with observational data and exploring the effects of different galaxy models and functions.

Contribution

It provides the first detailed calculation of strong lensing probabilities in TeVeS cosmology using various galaxy models and compares results with observational data and LCDM predictions.

Findings

The interpolating function μ(x)=x/(1+x) with Fontana GSMF matches observational lensing probabilities.

TeVeS predictions are comparable to LCDM in certain models.

Different galaxy mass functions significantly affect lensing probability estimates.

Abstract

We recalculate the strong lensing probability as a function of the image separation in TeVeS (tensor-vector-scalar) cosmology, which is a relativistic version of MOND (MOdified Newtonian Dynamics). The lens is modeled by the Hernquist profile. We assume an open cosmology with $\Omega_b=0.04$ and $\Omega_\Lambda=0.5$ and three different kinds of interpolating functions. Two different galaxy stellar mass functions (GSMF) are adopted: PHJ (Panter-Heavens-Jimenez, 2004) determined from SDSS data release one and Fontana (Fontana et al., 2006) from GOODS-MUSIC catalog. We compare our results with both the predicted probabilities for lenses by Singular Isothermal Sphere (SIS) galaxy halos in LCDM (lambda cold dark matter) with Schechter-fit velocity function, and the observational results of the well defined combined sample of Cosmic Lens All-Sky Survey (CLASS) and Jodrell Bank/Very Large Array Astrometric Survey (JVAS). It turns out that the interpolating function $\mu(x)=x/(1+x)$ combined with Fontana GSMF matches the results from CLASS/JVAS quite well.