Gravity in (2+1)-dimensions coupled to point - like sources: A Flat Chern-Simons gauge theory equivalent to Einstein's

Giuseppe Nardelli, Gianluca Grignani, G. Grignani

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

19 Citazioni (Scopus)

Abstract

We present a classical Chern-Simons gauge theory for planar gravity coupled to point-like sources. The theory is defined in terms of flat coordinates whose relation with the space-time coordinates can be unambiguously established. Though flat, the theory is equivalent to Einstein's as can be shown in some explicit and non-trivial examples. The procedure we have developed allows us to find the space-time metric, the geodesics equations and also provides the coordinates that flatten the space-time manifold. In particular, we recover the stationary metric generated by N spinning particles and we discuss in full detail the matching conditions satisfied by the space-time coordinates that flatten the metric in the two-particle case.
Lingua originaleEnglish
pagine (da-a)491-508
Numero di pagine18
RivistaNUCLEAR PHYSICS. B
Volume1991
DOI
Stato di pubblicazionePubblicato - 1991

Keywords

  • chern simons theory
  • planar gravity

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