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.

Read more about this topic:  Einstein Ring

Famous quotes containing the word introduction:

    For better or worse, stepparenting is self-conscious parenting. You’re damned if you do, and damned if you don’t.
    —Anonymous Parent. Making It as a Stepparent, by Claire Berman, introduction (1980, repr. 1986)

    The role of the stepmother is the most difficult of all, because you can’t ever just be. You’re constantly being tested—by the children, the neighbors, your husband, the relatives, old friends who knew the children’s parents in their first marriage, and by yourself.
    —Anonymous Stepparent. Making It as a Stepparent, by Claire Berman, introduction (1980, repr. 1986)

    We used chamber-pots a good deal.... My mother ... loved to repeat: “When did the queen reign over China?” This whimsical and harmless scatological pun was my first introduction to the wonderful world of verbal transformations, and also a first perception that a joke need not be funny to give pleasure.
    Angela Carter (1940–1992)