Anti De Sitter Space

Particular care is taken over the distinction between anti de sitter and it s covering space.

Anti de sitter space. Another condition was that the 5 dimensional region was something called an anti de sitter space which means it had negative curvature. In 4d 3 space and 1 time often called 3 1 space our universe is curved. Space that may be relevant for the famed ads cft anti de sitter space conformal field theory correspondence also known as holographic duality or gauge gravity duality.

The early in ationary de sitter phase had a. Ation well approximated by de sitter spacetime. It is called an n p dimensional anti de sitter space of constant curvature c and of index p.

Throw a tiny bit of matter into ads space and eventually a black hole will emerge. I don t understand how is the cosmological constant related to the curvature of spacetime. Dafermos faith in moschidis was well placed.

In mathematics and physics n dimensional anti de sitter space ads n is a maximally symmetric lorentzian manifold with constant negative scalar curvature. In fact the theoretical world he studied had the most amount of supersymmetry possible it was maximally supersymmetrical. 2 the simplest answer the simplest answer to whether our universe is curved or flat is this.

Written version of lectures given at 2nd samos meeting held at at pythagoreon samos greece 31 august 4 september 1998 and published as anti de sitter spacetime and its uses in mathematical and quantum aspects of relativity and cosmology. There is cosmological evidence that the universe itself is asymptotically de sitter see de sitter universe. Anti de sitter space and de sitter space are named after willem de sitter 1872 1934 professor of astronomy at leiden university and director of the leiden observatory.

Anti de sitter space is the maximally symmetric solution to field equations with negative cosmological constant. Our universe at least at present is more similar to a de sitter space. In a series of advances that began in 2017 and continue to this day moschidis has shown that a certain canonical configuration of einsteinian space time called anti de sitter ads space is unstable.