Chern-Simons gravity from (3+1)-dimensional gravity

Giuseppe Nardelli, Gianluca Grignani

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

8 Citazioni (Scopus)

Abstract

Abstract: In the context of a Poincar\'e gauge theoretical formulation, pure gravity in 3+1-dimensions is dimensionally reduced to gravity in 2+1-dimensions with or without cosmological constant Λ. The dimensional reductions are consistent with the gauge symmetries, mapping ISO(3,1) gauge transformations into ISO(2,1) ones. One of the reductions leads to Chern-Simons-Witten gravity. The solutions of 2+1-gravity with Λ≤0 (in particular the black-hole solution recently found by Banados, Teitelboim and Zanelli) and those of 1+1-dimensional Liouville gravity, are thus mapped into 3+1-dimensional vacuum solutions.
Lingua originaleEnglish
pagine (da-a)38-43
Numero di pagine6
RivistaPHYSICS LETTERS. SECTION B
DOI
Stato di pubblicazionePubblicato - 1993

Keywords

  • Chern Simons Theory

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