Séminaire de Physique ThéoriqueTransgressions, boundary terms and Katz-like vectors in Lovelock gravity
Nelson Merino (APC, Paris 7)
Tuesday 09 May 2017 11:00 - Tours - Salle 1180 (Bât E2)
In this work we provide a way to write the Katz vector by means of a local Lorentz-covariant construction. In particular, we show that the Katz vector in Einstein-Hilbert gravity can be obtained as a dimensional continuation of a transgression form, which is a function of two suitable Lorentz connections. Then we generalize this result to the case of Einstein-Gauss-Bonnet gravity and show that the corresponding generalized Katz vector solves the Dirichlet problem and gives the correct mass for the Boulware-Deser black hole. After discussing and contrasting this result with the ones already known in the literature, we show how a Katz-like vector can be constructed for a generic Lovelock theory.