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Title: Generalized Weyl solutions
Author: Emparan García de Salazar, Roberto A.
Reall, Harvey S.
Keywords: Relativitat general (Física)
Teories del camp unificat
Solucions numèriques
Teoria de Kaluza-Klein
Solucions numèriques
General relativity (Physics)
Unified field theories
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
It is part of: Physical Review D, 2002, vol. 65, núm. 8, p. 084025-1-084025-26
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ISSN: 0556-2821
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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