Temperley–Lieb algebra: Difference between revisions

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{{Confusing|date=March 2008}}
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{{Unreferenced|date=October 2008}}
In [[general relativity]], a '''black brane''' is a solution of the equations that generalizes a [[black hole]] solution but it is also extended —and translationally symmetric— in ''p'' additional spatial dimensions. That type of solution would be called a black ''p''-brane. (http://ncatlab.org/nlab/show/black+brane)
 
In [[string theory]], the solutions labeled as black branes provide us with an alternative description of the same objects called [[p-brane]]s. Other descriptions of the same objects include [[D-brane]]s. Some approximations of black branes might lead to [[entropy]] consistent with energy, from E=mc<sup>2</sup>.
 
The metric for a black p-brane in a n-dimensional space-time is:
 
:<math>
{d s}^{2} =
\left( \eta_{ab} + \frac{r_s^{n-p-3}}{r^{n-p-3}} u_a u_b \right) d \sigma^a d \sigma^b + \left(1-\frac{r_s^{n-p-3}}{r^{n-p-3}}\right)^{-1} dr^2 + r^2 d \Omega^2_{n-p-2}
</math>
where:
*''η'' is the (p+1)-[[Minkowski metric]] with signature (-,+,+,+,...),
*''σ'' are the coordinates for the worldsheet of the black p-brane,
*''u'' is its four-velocity,
*''r'' is the radial coordinate and,
*''Ω'' is the metric for a (n-p-2)-sphere, surrounding the brane.
 
{{relativity-stub}}
{{string-theory-stub}}
 
[[Category:Black holes]]

Latest revision as of 04:38, 21 August 2014

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