Gravitational Lensing by a structure in a cosmological background

Abstract

We use an exact general relativistic model structure within an FRW cosmological background based on a LTB metric to study the gravitational lensing by a cosmological and dynamical structure. Using different density profiles for the model structure, the deviation angle and the time delay through the gravitational lensing has been studied by solving the geodesic equations. The results of these exact calculations have been compared to the thin lens approximation. We have shown that the result for the thin lens approximation based on a modified NFW density profile with a void before going over to the FRW background matches very well with the exact general relativistic calculations. However, the thin lens approximation based on a normal NFW profile does differ from the exact relativistic calculation. The difference is more the less compact the structure is. We have also looked at the impact of our calculation on the observational interpretation of arcs in the case of strong lensing and also the reduced shear in the case of weak lensing. No significant difference has been seen in the data available.

13 pages, 16 figures

References in corpus (5)

• Relativistic images of Schwarzschild black hole lensing
• Anti-lensing: the bright side of voids
• Cosmology in 2D: the concentration-mass relation for galaxy clusters
• LTB solutions in Newtonian gauge: from strong to weak fields
• Structure Formation, Backreaction and Weak Gravitational Fields

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• The density distributions of cosmic structures: impact of the local environment on weak-lensing convergence
• Charged cosmological black hole
• Point mass Cosmological Black Holes
• Long gradient mode and large-scale structure observables
• Nonlinear phenomena in general relativity