Bremen 2017 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 16: Quantenaspekte der Gravitation und vereinheiltichender Theorien 2

GR 16.1: Talk

Friday, March 17, 2017, 08:30–08:50, SFG 0140

Tensor Galileons and Gravity — •Peter Schupp¹, Fech Scen Khoo¹, Athanasios Chatzistavrakidis², and Diederik Roest² — ¹Jacobs University Bremen — ²University of Groningen

When does an action functional lead to field equations which contain only second derivatives of the corresponding field? For a symmetric 2-tensor (i.e. a metric) the answer to this question are Lovelock invariants, including the Einstein-Hilbert action and the Gauss-Bonnet term. For scalar fields a similar role is played by Galileons. We extend these results to mixed-symmetry tensors, introducing an index free formulation based on Grassmannian variables. We find that (1,1)-tensor Galileons describe linearized Lovelock gravity in any dimension.