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arXiv · 2206.04972

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

Oscar Fuentealba·Marc Henneaux·Javier Matulich·Cédric Troessaert
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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 Poincar\'e subalgebra is linearly realized is constructed. Invariance of the energy is studied. Concluding comments on higher dimensions $D \geq 6$ are also given.

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Oscar Fuentealba, Marc Henneaux, Javier Matulich, Cédric Troessaert. 2022-06-10. Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis. https://doi.org/10.1007/jhep07(2022)149

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