Gravitational Lensing Equation
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A gravitational lens is a distribution of matter such as a cluster of galaxies between a distant light source and an observer that is capable of bending the light from the source as the light travels towards the observerthis effect is known as gravitational lensing and the amount of bending is one of the predictions of albert einsteins general theory of relativity.
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Gravitational lensing equation. Gravitational lensing by ricky leon murphy. 1 history of gravitational lensing the rst written account of the de0ection of light by gravity appeared in. These scripts aim at helping the students of the course on gravitational lensing to better understand the arguments discussed in the class. Weak gravitational lensing results in galaxies appearing distorted stretched or magnified.
Analysing the nature of gravitational lensing patterns tells astronomers about the way dark matter is distributed within. The density of plasma in galaxies usually decreases with radius thus the refraction deflection third term in equation 7 is opposite to the gravitational deflection since the refractive index of plasma is smaller than 1. Lens equation and describe some properties of the image. The implication is that a mass of an exploding star is known so with the strength of the.
Although difficult to measure for an individual galaxy galaxies clustered close together will exhibit similar lensing patterns. We will start from the basics of the lensing theory discussing the deection of light rays. Cypriano gravitational lensing basics gravitational lensing geometry the lens equation the de ection angle micro lensing the point mass lens magni cation micro lenses astrophysical applications of microlensing strong lensing extendend lenses lens models strong lensing modelling main results weak lensing. While gravitational lensing preserves surface brightness as dictated by liouvilles theorem lensing does change the apparent solid angle of a source.
The average ellipticity of background galaxies is a direct measure of the shear induced by foreground mass. Their goal is to give an overview on gravitational lensing and on its wide phenomenology. This is the principal equation of weak lensing. The homogeneous plasma second term in equation 7 increases the deflection angle of gravitational lensing.
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