Mielke-Baekler gravity consists in the usual Einstein-Hilbert action with a cosmological term and rotational and translational Chern-Simons terms with arbitrary couplings. For a particular choice of these couplings, we can obtain Einstein-Hilbert action, its teleparallel equivalent, and the exotic Witten's gravity. In this work, we use the Chern-Simons formalism to generalize the three dimensional Mielke-Baekler gravity theory in order to introduce spin-3 fields. We study its asymptotic symmetries, black hole solution, and also analyse its canonical structure at its singular point.
@article{arxiv.2003.02627,
title = {Spin-3 fields in Mielke-Baekler gravity},
author = {J. R. B. Peleteiro and C. E. Valcárcel},
journal= {arXiv preprint arXiv:2003.02627},
year = {2020}
}