Quasi-Poisson actions and massive non-rotating BTZ black holes
Racanière, Sébastien
HAL, hal-00002975 / Harvested from HAL
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.
Publié le : 2004-09-29
Classification:  quasi-Poisson manifolds,  BTZ black holes,  53D17; 53Z05,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00002975,
     author = {Racani\`ere, S\'ebastien},
     title = {Quasi-Poisson actions and massive non-rotating BTZ black holes},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00002975}
}
Racanière, Sébastien. Quasi-Poisson actions and massive non-rotating BTZ black holes. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002975/