2020/10/31 by Roberto Oliveri, Simone Speziale · 34 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Covariant transformation #Gravitation #Hamiltonian (control theory) #Homogeneous space #Phase space #Pulsars and Gravitational Waves Research #Quantum Chromodynamics and Particle Interactions #Symplectic geometry #Tetrad #gr-qc #hep-th
paper · pdf · doi:10.1007/jhep12(2020)079
published in Journal of High Energy Physics 2020(12) (Springer Nature) · 18 pages; v2: improved version, refs added, matches version accepted for publication
openalex created_date 2020/10/08 · arxiv created 2020/11/03 · openalex publication_date 2020/12/01 · arxiv updated 2020/12/30 · openalex updated_date 2026/08/05
A bstract Dual gravitational charges have been recently computed from the Holst term in tetrad variables using covariant phase space methods. We highlight that they originate from an exact 3-form in the tetrad symplectic potential that has no analogue in metric variables. Hence there exists a choice of the tetrad symplectic potential that sets the dual charges to zero. This observation relies on the ambiguity of the covariant phase space methods. To shed more light on the dual contributions, we use the Kosmann variation to compute (quasi-local) Hamiltonian charges for arbitrary diffeomorphisms. We obtain a formula that illustrates comprehensively why the dual contribution to the Hamiltonian charges: (i) vanishes for exact isometries and asymptotic symmetries at spatial infinity; (ii) persists for asymptotic symmetries at future null infinity, in addition to the usual BMS contribution. Finally, we point out that dual gravitational charges can be equally derived using the Barnich-Brandt prescription based on cohomological methods, and that the same considerations on asymptotic symmetries apply.