Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis
Résumé
We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions D, with a particular emphasis on the case D = 5. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the asymptotic symmetry algebra BMS$_{5}$, which is realized non linearly, contains a four-fold family of angle- dependent supertranslations. The structure of this non-linear algebra is investigated and a presentation in which the Poincaré subalgebra is linearly realized is constructed. Invariance of the energy is studied. Concluding comments on higher dimensions D ≥ 6 are also given.