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

Sebastien Racaniere
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Abstract

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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Sebastien Racaniere. 2004-09-29. Quasi-Poisson actions and massive non-rotating BTZ black holes. https://arxiv.org/abs/math/0409587

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