Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/26607

TitleA set of invariant quality factors measuring the deviation from the Kerr metric
Author(s)García-Parrado Gómez-Lobo, Alfonso
Martín Senovilla, José María
KeywordsKerr solution
Invariant characterization
Scalar quality factor
Issue date27-Mar-2013
PublisherSpringer
JournalGeneral Relativty and Gravitation
Abstract(s)A number of scalar invariant characterizations of the Kerr solution are presented. These characterizations come in the form of quality factors defined in stationary space-times. A quality factor is a scalar quantity varying in the interval [0, 1] with the value 1 being attained if and only if the space-time is locally isometric to the Kerr solution. No knowledge of the Kerr solution is required to compute these quality factors. A number of different possibilities arise depending on whether the space-time is Ricci-flat and asymptotically flat, just Ricci-flat, or Ricci non-flat. In each situation a number of quality factors are constructed and analysed. The relevance of these quality factors is clear in any situation where one seeks a rigorous formulation of the statement that a space-time is “close” to the Kerr solution, such as: its non-linear stability problem, the asymptotic settlement of a radiating isolated system undergoing gravitational collapse, or in the formulation of some uniqueness results.
TypeArticle
DescriptionPublished online: 27 March 2013 ; Author´s personal copy
URIhttp://hdl.handle.net/1822/26607
DOI10.1007/s10714-013-1518-9
ISSN0001-7701
Publisher versionhttp://link.springer.com/article/10.1007/s10714-013-1518-9
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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