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http://hdl.handle.net/2445/171250
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DC Field | Value | Language |
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dc.contributor.author | Llosa, Josep | - |
dc.contributor.author | Carot, Jaume | - |
dc.date.accessioned | 2020-10-15T07:39:45Z | - |
dc.date.available | 2020-10-15T07:39:45Z | - |
dc.date.issued | 2009-02-17 | - |
dc.identifier.issn | 0264-9381 | - |
dc.identifier.uri | http://hdl.handle.net/2445/171250 | - |
dc.description.abstract | The flat deformation theorem states that given a semi-Riemannian analytic metric g on a manifold, locally there always exists a two-form F, a scalar function c, and an arbitrarily prescribed scalar constraint depending on the point x of the manifold and on F and c, say (c,F, x) = 0, such that the deformed metric η = cg − F2 is semi-Riemannian and flat. In this paper we first show that the above result implies that every (Lorentzian analytic) metric g may bewritten in the extendedKerr-Schild form, namely ηab := agab−2bk(a lb) where η is flat and ka, la are two null covectors such that kala = −1; next we show how the symmetries of g are connected to those of η, more precisely; we show that if the original metric g admits a conformal Killing vector (including Killing vectors and homotheties), then the deformation may be carried out in a way such that the flat deformed metric η 'inherits' that symmetry. | - |
dc.format.extent | 21 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Institute of Physics (IOP) | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1088/0264-9381/26/5/055013 | - |
dc.relation.ispartof | Classical and Quantum Gravity, 2009, vol. 26, num. 5, p. 055013-055032 | - |
dc.relation.uri | https://doi.org/10.1088/0264-9381/26/5/055013 | - |
dc.rights | (c) Institute of Physics (IOP), 2009 | - |
dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | - |
dc.subject.classification | Relativitat especial (Física) | - |
dc.subject.other | Special relativity (Physics) | - |
dc.title | Flat deformation theorem and symmetries in spacetime | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 602453 | - |
dc.date.updated | 2020-10-15T07:39:46Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Física Quàntica i Astrofísica) |
Files in This Item:
File | Description | Size | Format | |
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602453.pdf | 284.31 kB | Adobe PDF | View/Open |
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