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https://hdl.handle.net/2445/12373
Title: | Generalized Weyl solutions |
Author: | Emparan García de Salazar, Roberto A. Reall, Harvey S. |
Keywords: | Relativitat general (Física) Teories del camp unificat Gravitació Solucions numèriques Teoria de Kaluza-Klein Solucions numèriques General relativity (Physics) Unified field theories Gravitation Kaluza-Klein theories Numerical solutions |
Issue Date: | 2002 |
Publisher: | The American Physical Society |
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. |
Note: | Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.65.084025 |
It is part of: | Physical Review D, 2002, vol. 65, núm. 8, p. 084025-1-084025-26 |
URI: | https://hdl.handle.net/2445/12373 |
Related resource: | http://dx.doi.org/10.1103/PhysRevD.65.084025 |
ISSN: | 0556-2821 |
Appears in Collections: | Articles publicats en revistes (Física de la Matèria Condensada) |
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