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Einstein ring

Feature seen when light is gravitationally lensed by an object

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Through Galaxy, Star and Albert Einstein

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 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

θ1=4GMc2DLSDSDL,

where

G is the gravitational constant,
M is the mass of the lens,
c is the speed of light,
DL is the angular diameter distance to the lens,
DS is the angular diameter distance to the source, and
DLS is the angular diameter distance between the lens and the source.

Over cosmological distances DLS≠DS−DL in general.

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