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.

arXiv comment56 pages, no figures. References added and minor typo corrected

References in corpus (47)

• The Dynamics of General Relativity
• On BMS Invariance of Gravitational Scattering
• Aspects of the BMS/CFT correspondence
• BMS supertranslations and Weinberg's soft graviton theorem
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• New Symmetries of Massless QED
• New symmetries for the Gravitational S-matrix
• Asymptotic Dynamics and Asymptotic Symmetries of Three-Dimensional Extended AdS Supergravity
• Subleading soft theorem in arbitrary dimension from scattering equations
• Higher spin theory in 3-dimensional flat space
• Bondi-Sachs Formalism
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Higher-Dimensional Supertranslations and Weinberg's Soft Graviton Theorem
• Asymptotic Flatness and Bondi Energy in Higher Dimensional Gravity
• Non-linear finite $W$-symmetries and applications in elementary systems
• Sub-sub-leading soft-graviton theorem in arbitrary dimension
• BMS Supertranslations and Memory in Four and Higher Dimensions
• BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
• Null infinity, the BMS group and infrared issues
• The BMS4 algebra at spatial infinity
• Asymptotic symmetries of electromagnetism at spatial infinity
• Next to subleading soft-graviton theorem in arbitrary dimensions
• Bondi-type systems near space-like infinity and the calculation of the NP-constants
• Hamiltonian structure and asymptotic symmetries of the Einstein-Maxwell system at spatial infinity
• Conformal Null Infinity Does Not Exist for Radiating Solutions in Odd Spacetime Dimensions
• Gravitational Memory in Higher Dimensions
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• A new class of obstructions to the smoothness of null infinity
• Asymptotic charges from soft scalars in even dimensions
• Conservation of asymptotic charges from past to future null infinity: Supermomentum in general relativity
• On the structure and applications of the Bondi-Metzner-Sachs group
• The asymptotic structure of electromagnetism in higher spacetime dimensions
• Note on soft theorems and memories in even dimensions
• On asymptotic symmetries in higher dimensions for any spin
• Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• General null asymptotics and superrotation-compatible configuration spaces in $d\ge 4$
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• Local supersymmetry and the square roots of Bondi-Metzner-Sachs supertranslations
• The Bondi-Metzner-Sachs group in five spacetime dimensions
• Supertranslations in Higher Dimensions Revisited
• The (super)conformal BMS${}_3$ algebra
• Bondi-type systems near space-like and null infinity
• Asymptotic flatness at spatial infinity in higher dimensions
• Asymptotic structure of the Pauli-Fierz theory in four spacetime dimensions
• Asymptotic flatness in higher dimensions

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