TY - JOUR
T1 - Chern-Simons gravity from (3+1)-dimensional gravity
AU - Nardelli, Giuseppe
AU - Grignani, Gianluca
AU - 27408,
AU - Tartaglia', BRESCIA - Dipartimento di Matematica e fisica 'Niccolò
AU - FACOLTA' DI SCIENZE MATEMATICHE, FISICHE E NATURALI
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
KW - Chern Simons Theory
KW - Chern Simons Theory
UR - http://hdl.handle.net/10807/7889
UR - http://www.sciencedirect.com/science/article/pii/0370269393907454
U2 - 10.1016/0370-2693(93)90745-4
DO - 10.1016/0370-2693(93)90745-4
M3 - Article
SP - 38
EP - 43
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
ER -