Flat deformation of a spacetime admitting two commuting Killing fields
It is shown that, given an analytic Lorentzian metric on a 4-manifold, gab, which admits two Killing vector fields, there exists a local deformation law ηab = a gab + bHab, where Hab is a two-dimensional projector, such that ηab is flat and admits the same Killing vectors. We also characterize the p...
| Authors: | , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2010 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/171251 |
| Online Access: | https://hdl.handle.net/2445/171251 |
| Access Level: | Open access |
| Keyword: | Relativitat especial (Física) Special relativity (Physics) |
| Summary: | It is shown that, given an analytic Lorentzian metric on a 4-manifold, gab, which admits two Killing vector fields, there exists a local deformation law ηab = a gab + bHab, where Hab is a two-dimensional projector, such that ηab is flat and admits the same Killing vectors. We also characterize the particular case when the projector Hab coincides with the quotient metric. We apply some of our results to general stationary axisymmetric spacetimes. |
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