Asymptotic Symmetry and the General Black Hole Solution in Ads_3 Gravity

Details Asymptotic Symmetry and the General Black Hole Solution in Ads_3 Gravity Asymptotic Symmetry and the General Black Hole Solution in Ads_3 Gravity

1999-03-27

arxiv.org/abs/hep-th/9903240v2

Phys.Rev. D60 (1999) 044013

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, no figure

Scientific paper

10.1103/PhysRevD.60.044013

We describe the Brown-Henneaux asymptotic symmetry of the general black holes in the Chern-Simons gauge theory of the gauge group $SL(2;{\bf R})_L\times SL(2;{\bf R})_R$. We make it clear that the vector-like subgroup $SL(2; {\bf R})_{L+R}$ plays an essential role in describing the asymptotic symmetry consistently. We find a quite general black hole solution in the $AdS_3$ gravity theory. The solution is specified by an infinite number of conserved quantities which constitute a family of mapping from $S^1$ to the gauge group. The BTZ black hole is one of the simplest case.

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