Abstract

It is shown that the Stelle-West Grignani-Nardelli formalism allows, both when odd dimensions and when even dimensions are considered, constructing actions for higher dimensional gravity invariant under local Lorentz rotations and under local Poincaré translations. It is also proved that such actions have the same coefficients as those obtained by Troncoso and Zanelli [Class. Quantum Grav. 17, 4451 (2000)]. © 2002 The American Physical Society.