Anti-de Sitter space

In mathematics and physics, n-dimensional anti-de Sitter space (AdSn) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature. It is the Lorentzian analogue of hyperbolic space, just as Minkowski space is the analogue of Euclidean space and de Sitter space is the analogue of spherical space. In the language of general relativity, anti-de Sitter space is a maximally symmetric vacuum solution of Einstein's field equation with a negative (attractive) cosmological constant , corresponding to a negative energy density and positive pressure of the vacuum.

Anti-de Sitter space

In mathematics and physics, n-dimensional anti-de Sitter space (AdSn) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature. It is the Lorentzian analogue of hyperbolic space, just as Minkowski space is the analogue of Euclidean space and de Sitter space is the analogue of spherical space. In the language of general relativity, anti-de Sitter space is a maximally symmetric vacuum solution of Einstein's field equation with a negative (attractive) cosmological constant , corresponding to a negative energy density and positive pressure of the vacuum.