Symmetry charges on reduced phase space and asymptotic flatness
Han M, Huang Z, Tan H (2024)
Publication Type: Journal article
Publication year: 2024
Journal
Book Volume: 109
Article Number: 064079
Journal Issue: 6
DOI: 10.1103/PhysRevD.109.064079
Abstract
This paper studies the reduced phase space formulation (relational formalism) of gravity coupling to the Brown-Kuchař dust for asymptotic flat spacetimes. A set of boundary conditions for the asymptotic flatness are formulated for Dirac observables on the reduced phase space. The physical Hamiltonian generates the time translation of the dust clock. We compute the boundary term of the physical Hamiltonian, which is identical to the Arnowitt-Deser-Misner mass. We construct a set of the symmetry charges on the reduced phase space, which are conserved by the physical Hamiltonian evolution. The symmetry charges generate transformations preserving the asymptotically flat boundary condition. Under the reduced-phase-space Poisson bracket, the symmetry charges form an infinite dimensional Lie algebra AG after adding a central charge. A suitable quotient of AG is analogous to the Bondi-Metzner-Sachs algebra at spatial infinity by Henneaux and Troessaert.
Involved external institutions
Florida Atlantic University
United States (USA) (US)
University of Shanghai for Science and Technology (USST)
China (CN)
United States (USA) (US)
University of Shanghai for Science and Technology (USST)
China (CN)
How to cite
APA:
Han, M., Huang, Z., & Tan, H. (2024). Symmetry charges on reduced phase space and asymptotic flatness. Physical Review D, 109(6). https://doi.org/10.1103/PhysRevD.109.064079
MLA:
Han, Muxin, Zichang Huang, and Hongwei Tan. "Symmetry charges on reduced phase space and asymptotic flatness." Physical Review D 109.6 (2024).
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