Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 29, Issue 13, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/29/13/135004
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Funding
- Netherlands Organization for Scientific Research (NWO) under VICI [680-47-603]
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A Palatini-type action for Einstein and Gauss-Bonnet gravity with non-trivial torsion is proposed. A three-form flux is incorporated via a deformation of the Riemann tensor, and consistency of the Palatini variational principle requires the flux to be covariantly constant and to satisfy a Jacobi identity. Studying gravity actions of third order in the curvature leads to a conjecture about general Palatini-Lovelock-Cartan gravity. We point out potential relations to string-theoretic Bianchi identities and, using the Schouten-Nijenhuis bracket, derive a set of Bianchi identities for the non-geometric Q- and R-fluxes which include derivative and curvature terms. Finally, the problem of relating torsional gravity to higher order corrections of the bosonic string-effective action is revisited.
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