Quasi-Poisson actions and massive non-rotating BTZ black holes

Mathematics – Differential Geometry

Scientific paper

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8 pages. Comments welcomed

Scientific paper

Using ideas from an article of P. Bieliavsky, M. Rooman and Ph. Spindel on
BTZ black holes, I construct a family of interesting examples of quasi-Poisson
actions as defined by A. Alekseev and Y. Kosmann-Schwarzbach. As an
application, I obtain a genuine Poisson structure on $SL(2,R)$ which induces a
Poisson structure on a BTZ black hole.

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