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arXiv · 0901.1516

Noncommutative BTZ Black Hole in Different Coordinates

Ee Chang-Young
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Abstract

We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of $U(1,1)\times U(1,1)$ Chern-Simons theory on $AdS_3$ in the two coordinate systems via the Seiberg-Witten map. This is based on the noncommutative extension of the equivalence between the classical BTZ solution and the solution of ordinary $SU(1,1)\times SU(1,1)$ Chern-Simons theory on $AdS_3$. The obtained solutions in these noncommutative coordinate systems become different in the first order of the noncommutativity parameter $θ$.

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Ee Chang-Young. 2009-01-12. Noncommutative BTZ Black Hole in Different Coordinates. https://arxiv.org/abs/0901.1516

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