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2002

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12373

Generalized Weyl solutions

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Abstract

It was shown by Weyl that the general static axisymmetric solution of the vacuum Einstein equations in four dimensions is given in terms of a single axisymmetric solution of the Laplace equation in three-dimensional flat space. Weyls construction is generalized here to arbitrary dimension D>~4. The general solution of the D-dimensional vacuum Einstein equations that admits D-2 orthogonal commuting non-null Killing vector fields is given either in terms of D-3 independent axisymmetric solutions of Laplaces equation in three-dimensional flat space or by D-4 independent solutions of Laplaces equation in two-dimensional flat space. Explicit examples of new solutions are given. These include a five-dimensional asymptotically flat black ring with an event horizon of topology S1S2 held in equilibrium by a conical singularity in the form of a disk.

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http://dx.doi.org/10.1103/PhysRevD.65.084025

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Relativitat general (Física), Teories del camp unificat, Gravitació, Solucions numèriques, Teoria de Kaluza-Klein, Solucions numèriques

Subject (English)

General relativity (Physics), Unified field theories, Gravitation, Kaluza-Klein theories, Numerical solutions

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Articles publicats en revistes (Física de la Matèria Condensada)

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EMPARAN GARCÍA DE SALAZAR, Roberto A. and REALL, Harvey S. Generalized Weyl solutions. Physical Review D. 2002. Vol. 65, num. 8, pags. 084025-1-084025-26. ISSN 0556-2821. [consulted: 17 of October of 2026]. Available at: https://hdl.handle.net/2445/12373

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