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Abstract
We propose to use multipleimaged gravitational lenses to set limits on gravity theories without dark matter, specifically tensorvectorscalar (TeVeS) theory, a theory which is consistent with fundamental relativistic principles and the phenomenology of Modified Newtonian Dynamics (MOND) theory. After setting the framework for lensing and cosmology, we analytically derive the deflection angle for the point lens and the Hernquist galaxy profile, and study their patterns in convergence, shear and amplification. Applying our analytical lensing models, we fit galaxyquasar lenses in the CfAArizona Space Telescope Lens Survey (CASTLES) sample. We do this with three methods, fitting the observed Einstein ring sizes, the image positions, or the flux ratios. In all the cases, we consistently find that stars in galaxies in MOND/TeVeS provide adequate lensing. Bekenstein's toy mu function provides more efficient lensing than the standard MOND mu function. But for a handful of lenses, a good fit would require a lens mass orders of magnitude larger/smaller than the stellar mass derived from luminosity unless the modification function mu and modification scale a(0) for the universal gravity were allowed to be very different from what spiral galaxy rotation curves normally imply. We discuss the limitation of present data and summarize constraints on the MOND mu function. We also show that the simplest TeVeS 'minimalmatter' cosmology, a baryonic universe with a cosmological constant, can fit the distanceredshift relation from the supernova data, but underpredicts the sound horizon size at the last scattering. We conclude that lensing is a promising approach to differentiate laws of gravity.
Original language  English 

Pages (fromto)  171186 
Number of pages  16 
Journal  Monthly Notices of the Royal Astronomical Society 
Volume  368 
Issue number  1 
DOIs  
Publication status  Published  1 May 2006 
Keywords
 gravitational lensing
 cosmology
 theory
 ORDINARY ELLIPTIC GALAXIES
 GRAVITATIONAL LENS
 DARKMATTER
 EXTINCTION CURVES
 SCALE STRUCTURE
 CLUSTERS
 MODELS
 CONSTRAINTS
 HYPOTHESIS
 SUPERNOVAE
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Dive into the research topics of 'Testing Bekenstein's relativistic Modified Newtonian Dynamics with lensing data'. Together they form a unique fingerprint.Projects
 1 Finished

Astrophysics at St Andrews: Astrophysics at St.Andrews
Cameron, A. C. (PI) & Horne, K. D. (CoI)
1/04/06 → 31/03/11
Project: Standard