In theoretical physics, an anti-de Sitter (AdS) black hole is a black hole solution of general relativity or its extensions which represents an isolated massive object, but with a negative cosmological constant.
Such a solution asymptotically approaches anti-de Sitter space at spatial infinity, and is a generalization of the Kerr vacuum solution, which asymptotically approaches Minkowski spacetime at spatial infinity.
[1] In 3+1 dimensions, the metric is given by
d
s
2
= −
(
k
where t is the time coordinate, r is the radial coordinate, Ω are the polar coordinates, C is a constant and k is the AdS curvature.
In general, in d + 1 dimensions, the metric is given by
According to the AdS/CFT correspondence, if gravity were quantized, an AdS black hole would be dual to a thermal state on the conformal boundary.
In the context of say, AdS/QCD, this would correspond to the deconfinement phase of the quark–gluon plasma.
This black hole-related article is a stub.
You can help Wikipedia by expanding it.