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1998

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12363

Superconducting p-branes and extremal black holes

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http://dx.doi.org/10.1103/PhysRevD.58.084009

Abstract

In Einstein-Maxwell theory, magnetic flux lines are "expelled" from a black hole as extremality is approached, in the sense that the component of the field strength normal to the horizon goes to zero. Thus, extremal black holes are found to exhibit the sort of ¿Meissner effect¿ which is characteristic of superconducting media. We review some of the evidence for this effect and present new evidence for it using recently found black hole solutions in string theory and Kaluza-Klein theory. We also present some new solutions, which arise naturally in string theory, which are non-superconducting extremal black holes. We present a nice geometrical interpretation of these effects derived by looking carefully at the higher dimensional configurations from which the lower dimensional black hole solutions are obtained. We show that other extremal solitonic objects in string theory (such as p-branes) can also display superconducting properties. In particular, we argue that the relativistic London equation will hold on the world volume of ¿light¿ superconducting p-branes (which are embedded in flat space), and that minimally coupled zero modes will propagate in the adS factor of the near-horizon geometries of "heavy," or gravitating, superconducting p-branes.

Subject

Relativitat general (Física), Gravitació, Teories del camp unificat, Forats negres (Astronomia), Superconductors, Models de corda, Teoria de Kaluza-Klein

Subject (English)

General relativity (Physics), Gravitació, Unified field theories, Black holes (Astronomy), Superconductors, String models, Kaluza-Klein theories

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

CHAMBLIN, A., EMPARAN GARCÍA DE SALAZAR, Roberto A. and GIBBONS, G. W. Superconducting p-branes and extremal black holes. Physical Review D. 1998. Vol. 58, num. 8, pags. 084009-1-084009-11. ISSN 0556-2821. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/12363

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