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black brane : ウィキペディア英語版
black brane

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-branes. Other descriptions of the same objects include D-branes. Some approximations of black branes might lead to entropy consistent with energy, from E=mc2.
The metric for a black p-brane in a n-dimensional space-time is:
:
^ =
\left( \eta_ + \frac} u_a u_b \right) d \sigma^a d \sigma^b + \left(1-\frac}\right)^ dr^2 + r^2 d \Omega^2_

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.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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