A note on dual gravitational charges

0540687 - FZÚ 2021 RIV US eng J - Journal Article
Oliveri, Roberto - Speziale, S.
A note on dual gravitational charges.
Journal of High Energy Physics. Roč. 2020, č. 12 (2020), s. 1-19, č. článku 79. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA MŠMT EF15_003/0000437
Grant - others:OP VVV - CoGraDS(XE) CZ.02.1.01/0.0/0.0/15_003/0000437
Institutional support: RVO:68378271
Keywords : classical theories of gravity * hamiltonian * diffeomorphism * tetrad * space-time symmetries
OECD category: Particles and field physics
Impact factor: 5.810, year: 2020
Method of publishing: Open access

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.

Permanent Link: http://hdl.handle.net/11104/0318305