Ocean acidification: Difference between revisions

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{{Unreferenced|date=December 2009}}
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In [[theoretical physics]], an '''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 metric|Kerr vacuum solution]], which asymptotically approaches [[Minkowski spacetime]] at spatial infinity.
 
In 3+1 dimensions, the metric is given by
:<math>ds^2 = - \left( k^2r^2 + 1 - \frac{C}{r} \right)dt^2 + \frac{1}{k^2r^2 + 1 - \frac{C}{r}}dr^2 + r^2 d\Omega^2</math>
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
:<math>ds^2 = - \left( k^2r^2 + 1 - \frac{C}{r^{d-2}} \right)dt^2 + \frac{1}{k^2r^2 + 1 - \frac{C}{r^{d-2}}}dr^2 + r^2 d\Omega^2</math>
 
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]].
 
==See also==
*[[BTZ black hole]]
 
{{DEFAULTSORT:Ads Black Hole}}
[[Category:Black holes]]
[[Category:Exact solutions in general relativity]]
 
 
{{Relativity-stub}}

Latest revision as of 00:58, 6 January 2015

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