One Formulation for both Lineal Gravities through a Dimensional Reduction

Details One Formulation for both Lineal Gravities through a Dimensional Reduction One Formulation for both Lineal Gravities through a Dimensional Reduction

1992-07-23

arxiv.org/abs/gr-qc/9207004v1

Phys.Lett. B297 (1992) 261

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages

Scientific paper

10.1016/0370-2693(92)91259-C

The two lineal gravities --- based on the de Sitter group or a central
extension of the Poincar\'e group in 1+1 dimensions --- are shown to derive
classically from a unique topological gauge theory. This one is obtained after
a dimensional reduction of a Chern--Simons model, which describes pure gravity
in 2+1 dimensions, the gauge symmetry being given by an extension of ISO(2,1).

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