LETTER: BTZ Black Hole from (3+1) Gravity |
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| Authors: | Mauricio Cataldo Sergio del Campo Alberto García |
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| Affiliation: | (1) Departamento de Física, Facultad de Ciencias, Universidad del Bío-Bío, Avda. Collao 1202, Casilla 5-C, Concepción, Chile;(2) Instituto de Física, Facultad de Ciencias Básicas y matemáticas, Universidad Católica de Valparaíso, Avenida Brasil 2950, Valparaíso, Chile;(3) Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, Apart. Postal 14-740, C.P.07000, México, D. F. México |
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| Abstract: | ![]()
We propose an approach for constructing spatial slices of (3+1) spacetimes with cosmological constant but without a matter content, which yields (2+1) vacuum with  solutions. The reduction mechanism from (3+1) to (2+1) gravity is supported on a criterion in which the Weyl tensor components are required to vanish together with a dimensional reduction via an appropriate foliation. By using an adequate reduction mechanism from the Pleba ski–Carter[A] solution in (3+1) gravity, the (2+1) BTZ solution can be obtained. |
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| Keywords: | Black holes in 2+1 and 3+1 |
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