BTZ black hole from (3+1) gravity

Details BTZ black hole from (3+1) gravity BTZ black hole from (3+1) gravity

2000-04-07

arxiv.org/abs/gr-qc/0004023v1

Gen.Rel.Grav. 33 (2001) 1245-1255

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Latex

Scientific paper

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 $\Lambda$ 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\'nski-Carter[A] solution in (3+1) gravity, the (2+1) BTZ solution can be obtained.

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