PUGLIESE, Daniela and STORNAIOLO. Deformations of three-dimensional metrics. General Relativity and Gravitation. US - Spojené státy americké, 2015, vol. 47, No 3, p. "20-1"-"20-23", 23 pp. ISSN 0001-7701. Available from: https://dx.doi.org/10.1007/s10714-015-1864-x.
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Basic information
Original name Deformations of three-dimensional metrics
Authors PUGLIESE, Daniela and STORNAIOLO.
Edition General Relativity and Gravitation, US - Spojené státy americké, 2015, 0001-7701.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.1007/s10714-015-1864-x
UT WoS 000350690000004
Keywords in English space-time deformations; scalar fields; three-dimensional metrics; conformal methods
Tags FÚ
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 30/3/2021 12:53.
Abstract
We examine three-dimensional metric deformations based on a tetrad transformation through the action the matrices of scalar field. We describe by this approach to deformation the results obtained by Coll et al. (Gen. Relativ. Gravit. 34: 269, 2002), where it is stated that any three-dimensional metric was locally obtained as a deformation of a constant curvature metric parameterized by a 2-form. To this aim, we construct the corresponding deforming matrices and provide their classification according tothe properties of the scalar sigma and of the vector s used in Coll et al. (Gen Relativ Gravit 34: 269, 2002) to deform the initial metric. The resulting causal structure of the deformed geometries is examined, too. Finally we apply our results to a spherically symmetric three geometry and to a space sector of Kerr metric.
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