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The theory of gravity in $3+1$ dimensions famously has black hole solutions, being the limiting configuration of a point mass gravitational source. In higher dimensional gravity, and in particular in higher dimensional supergravity, there are analogous solutions, which however are limiting configurations of a gravitational source that is supported on a line, or a surface, or a higher dimensional space. For a surface one might speak of black membrane solutions hence generally of black brane solutions.
Particularly the BPS states among the black branes in supergravity, i.e. those solutions that carry Killing spinors, include configurations that look like the strong-coupling version of the Green-Schwarz super p-branes. (Though, being extremal, these are not strictly speaking “black” solutions.)
The types of black branes that can occur in theories of supergravity that are obtained from the maximal 11-dimensional supergravity match precisely the types of D-branes and NS-branes that appear in the corresponding perturbative superstring theories.
The idea is that both these brane-phenomena are aspects of one single entity:
At low string coupling the D-brane/NS-brane description is accurate. Low string coupling implies that the coupling of gravity is weak, hence that the back-reaction of the branes on the background geometry is negligible.
At large string coupling but low energy, the effective supergravity description becomes accurate. Here the branes do back-react on the gravitational background and hence create the black brane spacetime geometry.
This duality of the brane picture is at the heart of the AdS/CFT correspondence. See there for more details.
Table of branes appearing in supergravity/string theory (for classification see at brane scan).
Original articles include
Michael Duff, J. X. Lu, Black and super $p$-branes in diverse dimensions (arXiv:hep-th/9306052)
Mike Duff, H. Lu, Christopher Pope, The Black Branes of M-theory, Phys.Lett.B382:73-80,1996 (arXiv:hep-th/9604052)
Review includes,
Ofer Aharony, S.S. Gubser, Juan Maldacena, H. Ooguri, Y. Oz, section 1.3 of Large N Field Theories, String Theory and Gravity (arXiv:hep-th/9905111)
Thomas Mohaupt, Black holes in supergravity and string theory, Class. Quantum Grav. 17 (2000) 3429–3482 (pdf)
Further developments include
Gerard Clement, Dmitri Gal’tsov, Cedric Leygnac, Black branes on the linear dilaton background, Phys. Rev. D71 (2005) 084014 (arXiv:hep-th/0412321)
D. Gal’tsov, S. Klevtsov, D. Orlov, G. Clement, More on general $p$-brane solutions, Int.J.Mod.Phys.A21:3575-3604, 2006 (arXiv:hep-th/0508070)
Jay Armas, Joan Camps, Troels Harmark, Niels A. Obers, The Young Modulus of Black Strings and the Fine Structure of Blackfolds (arXiv:1110.4835)