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2010-12-21

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/171251

Flat deformation of a spacetime admitting two commuting Killing fields

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Abstract

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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https://doi.org/10.1088/0264-9381/27/24/245006

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Relativitat especial (Física)

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Special relativity (Physics)

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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LLOSA, Josep and CAROT, Jaume. Flat deformation of a spacetime admitting two commuting Killing fields. Classical and Quantum Gravity. 2010. Vol. 27, num. 24, pags. 245006. ISSN 0264-9381. [consulted: 9 of October of 2026]. Available at: https://hdl.handle.net/2445/171251

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