Note on the symplectic structure of asymptotically flat gravity and BMS symmetries
arXiv:1906.05036 · doi:10.1103/PhysRevD.100.044028
Abstract
The Poisson brackets of the gravitational field at null infinity play a pivotal role in establishing the equivalence between the Ward identities involving BMS charges and the soft graviton theorem. In recent literature it was noticed that, in order to reproduce the action of BMS transformations via such Poisson brackets, one needs to add "ad-hoc" boundary terms in the symplectic form. In this note we show that, introducing a suitable splitting of the gravitational field in bulk and boundary degrees of freedom and using techniques of covariant phase space formalism, it is possible to obtain the correct Poisson brackets between the boundary fields without any additional assumption. The same Poisson brackets are used to show that BMS charges canonically generate BMS transformations on the gravitational phase space.
References in corpus (23)
- On BMS Invariance of Gravitational Scattering
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- Aspects of the BMS/CFT correspondence
- BMS supertranslations and Weinberg's soft graviton theorem
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- BMS charge algebra
- New Symmetries of Massless QED
- Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix
- Asymptotic symmetries and subleading soft graviton theorem
- Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere
- Asymptotic Symmetries of Yang-Mills Theory
- Superrotation Charge and Supertranslation Hair on Black Holes
- New Gravitational Memories
- New symmetries for the Gravitational S-matrix
- A 2D Stress Tensor for 4D Gravity
- Low's Subleading Soft Theorem as a Symmetry of QED
- 4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT
- Superboost transitions, refraction memory and super-Lorentz charge algebra
- Null infinity, the BMS group and infrared issues
- Vacua of the gravitational field
- Classical static final state of collapse with supertranslation memory
- On the structure and applications of the Bondi-Metzner-Sachs group
- A note on asymptotic symmetries and soft-photon theorem
Cited by in corpus (9)
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- Dual gravitational charges and soft theorems
- Hamiltonian derivation of dual gravitational charges
- "Conserved charges" of the Bondi-Metzner-Sachs algebra in the Brans-Dicke theory
- From Shockwaves to the Gravitational Memory Effect
- Asymptotic symmetries and subleading soft graviton theorem in higher dimensions