English

One Formulation for both Lineal Gravities through a Dimensional Reduction

General Relativity and Quantum Cosmology 2016-08-31 v1 High Energy Physics - Theory

Abstract

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).

Keywords

Cite

@article{arxiv.gr-qc/9207004,
  title  = {One Formulation for both Lineal Gravities through a Dimensional Reduction},
  author = {Daniel Cangemi},
  journal= {arXiv preprint arXiv:gr-qc/9207004},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-07-22T12:47:58.990Z