Deformations of three-dimensional metrics

@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 a STORNAIOLO. Deformations of three-dimensional metrics. \textit{General Relativity and Gravitation}. US - Spojené státy americké, 2015, roč.~47, č.~3, s.~''20-1''-''20-23'', 23 s. ISSN~0001-7701. Dostupné z: https://dx.doi.org/10.1007/s10714-015-1864-x.