Poster abstract details

There has been recently some controversy on the proper definition of conserved charges in asymptotically anti-de Sitter spaces in arbitrary dimensions. I provide a systematic and explicit Hamiltonian derivation of the energy and the angular momenta of both asymptotically flat and asymptotically AdS spacetimes in any dimension $D \geq 4$. This requires as a first step a precise determination of the asymptotic conditions of the metric and of its conjugate momentum. I also find that the asymptotic symmetry algebra is isomorphic either to the Poincaré algebra or to the $so(D − 1, 2)$ algebra, as expected. In the asymptotically flat case, the boundary conditions involve a generalisation of the parity conditions, introduced by Regge and Teitelboim, which are necessary to make the angular momenta finite. The charges are explicitly computed for Kerr and Kerr-AdS black holes for arbitrary $D$ and they are shown to be in agreement with thermodynamical arguments.