# Black brane

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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.^{[1]}

In string theory, the term black brane describes a group of D1-branes that are surrounded by a horizon.^{[2]} With the notion of a horizion in mind as well as identifying points as zero-branes, a generalization of a black hole is a black p-brane.^{[3]} However, many physicists tend to define a black brane separate from a black hole, making the distinction that the singularity of a black brane is not a point like a black hole, but instead a higher dimensional object.

A BPS black brane is similar to a BPS black hole. They both have electric charges. Some BPS black branes have magnetic charges.^{[4]}

The metric for a black *p*-brane in a *n*-dimensional spacetime is:

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.

### CurvaturesEdit

When .

The Ricci Tensor becomes , .

The Ricci Scalar becomes .

Where , are the Ricci Tensor and Ricci scalar of the metric .

## ReferencesEdit

**^**"black brane in nLab".*ncatlab.org*. Retrieved 2017-07-18.**^**Gubser, Steven Scott (2010).*The Little Book of String Theory*. Princeton: Princeton University Press. p. 93. ISBN 9780691142890. OCLC 647880066.**^**"String theory answers".*superstringtheory.com*. Retrieved 2017-07-18.**^**Koji., Hashimoto, (2012).*D-brane : superstrings and new perspective of our world*. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg. ISBN 9783642235740. OCLC 773812736.

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