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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@article{50441, author = {Pugliese, Daniela and Stornaiolo, }, article_location = {US - Spojené státy americké}, article_number = {3}, doi = {http://dx.doi.org/10.1007/s10714-015-1864-x}, keywords = {space-time deformations; scalar fields; three-dimensional metrics; conformal methods}, language = {eng}, issn = {0001-7701}, journal = {General Relativity and Gravitation}, title = {Deformations of three-dimensional metrics}, url = {https://link.springer.com/article/10.1007/s10714-015-1864-x}, volume = {47}, year = {2015} }
TY - JOUR ID - 50441 AU - Pugliese, Daniela - Stornaiolo, PY - 2015 TI - Deformations of three-dimensional metrics JF - General Relativity and Gravitation VL - 47 IS - 3 SP - "20-1"-"20-23" EP - "20-1"-"20-23" SN - 00017701 KW - space-time deformations KW - scalar fields KW - three-dimensional metrics KW - conformal methods UR - https://link.springer.com/article/10.1007/s10714-015-1864-x N2 - 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. ER -
PUGLIESE, Daniela and STORNAIOLO. Deformations of three-dimensional metrics. \textit{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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