One formulation for both lineal gravities through a dimensional reduction

The two lineal gravities - based on the de Sitter group or a central extension of the Poincaré group in 1 + 1 dimension - 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 i...

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Bibliographic Details
Published inPhysics letters. B Vol. 297; no. 3; pp. 261 - 265
Main Author Cangemi, D.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 31.12.1992
Elsevier Science
Subjects
Exact sciences and technology
General relativity and gravitation
Gravity in more than four dimensions, kaluza-klein theory, unified field theories; alternative theories of gravity
Physics
Gravitation
Dimensional reduction
De Sitter group
Gauge theory
Poincaré group
One dimensional model
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Summary:The two lineal gravities - based on the de Sitter group or a central extension of the Poincaré group in 1 + 1 dimension - 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 extention if ISO (2, 1).
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(92)91259-C