Anti de Sitter space
In mathematics, n-dimensional anti de Sitter space is a geometry with Lorentzian signature. It has as automorphism group SO(n,2) (possibly with reflections), according to the Erlangen program.
It is also a cosmological model for the universe.
A coordinate patch covering part of the space gives the half-space coordinatization of anti de Sitter space. The metric is now
- <math>ds^2=\frac{1}{y^2}(dt^2-dy^2-\sum_idx_i^2)<math>
See also: de Sitter space, AdS/CFT.
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