Einstein Ring - Introduction

Introduction

Gravitational lensing is predicted by Albert Einstein's theory of general relativity. Instead of light from a source traveling in a straight line (in three dimensions), it is bent by the presence of a massive body, which distorts spacetime. An Einstein Ring is a special case of gravitational lensing, caused by the exact alignment of the source, lens and observer. This results in a symmetry around the lens, causing a ring-like structure.

The size of an Einstein ring is given by the Einstein radius. In radians, it is

where

is the gravitational constant,
is the mass of the lens,
is the speed of light,
is the angular diameter distance to the lens,
is the angular diameter distance to the source, and
is the angular diameter distance between the lens and the source.

Note that, over cosmological distances in general.

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