PIRSA:20100061

A note on dual gravitational charges

APA

Olivieri, R. (2020). A note on dual gravitational charges. Perimeter Institute. https://pirsa.org/20100061

MLA

Olivieri, Roberto. A note on dual gravitational charges. Perimeter Institute, Oct. 29, 2020, https://pirsa.org/20100061

BibTex

          @misc{ pirsa_20100061,
            doi = {},
            url = {https://pirsa.org/20100061},
            author = {Olivieri, Roberto},
            keywords = {Quantum Gravity},
            language = {en},
            title = {A note on dual gravitational charges},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {oct},
            note = {PIRSA:20100061 see, \url{https://pirsa.org}}
          }
          

Abstract

Dual gravitational charges (DGCs) have been originally computed in the first-order formalism by means of covariant phase space methods using tetrad variables. I show i) why DGCs do not arise using the metric variables and ii) how they can be set to zero by exploiting the freedom to add exact 3-forms to the symplectic potential.

Without exploiting that freedom, DGCs can be understood as Hamiltonian charges associated to the Kosmann variation. I then discuss the implications of this observation for asymptotic symmetries and comment about subleading contributions thereof.

Finally, I also show that DGCs can be equally derived by means of cohomological methods. In this case, DGCs depends on the order of the Lagrangian: they exist only in the first-order formalism.