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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
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.
DescriptionPublished online: 27 March 2013 ; Author´s personal copy
Publisher version
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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