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Abstract: We derive conserved charges as quasi-local Hamiltonians by covariant phasespace methods for a class of geometric Lagrangians that can be written in termsof the spin connection, the vielbein and possibly other tensorial form fields,allowing also for non-zero torsion. We then re-calculate certain known resultsand derive some new ones in three to six dimensions hopefully enlighteningcertain aspects of all of them. The quasi-local energy is defined in terms ofthe metric and not its first derivatives, requiring `regularization- forconvergence in most cases. Counter-terms consistent with Dirichlet boundaryconditions in first order formalism are shown to be an efficient way to removedivergencies and derive the values of conserved charges, the clear-cutapplication being metrics with AdS or dS asymptotics. The emerging scheme is:all is required to remove the divergencies of a Lovelock gravity is a boundaryLovelock gravity.



Autor: Elias Gravanis

Fuente: https://arxiv.org/







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