Title:
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Generalized Weyl solutions
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Author:
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Emparan García de Salazar, Roberto A.; Reall, Harvey S.
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-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 |
Rights:
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(c) The American Physical Society, 2002
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Document type:
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Article Article - Published version |
Published by:
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The American Physical Society
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