Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis

Abstract

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 $D\ge 6$ are also given.

56 pages, no figures. References added and minor typo corrected

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Cited by in corpus (6)

• Logarithmic supertranslations and supertranslation-invariant Lorentz charges
• Nonlinear automorphism of the conformal algebra in 2D and continuous $\sqrt{T\bar{T}}$ deformations
• A note on the asymptotic symmetries of electromagnetism
• Infinite $\mathrm{T}\bar{\mathrm{T}}$-like symmetries of compactified LST
• Generalized BMS algebra in higher even dimensions
• Conserved asymptotic charges for any massless particle