2024-11-0920221742-658810.1088/1742-6596/2191/1/0120212-s2.0-85124937260http://dx.doi.org/10.1088/1742-6596/2191/1/012021https://hdl.handle.net/20.500.14288/13270Following earlier works of Dereli and collaborators, we study a three dimensional toy model where we extend the topologically massive gravity with electrodynamics by the most general RF 2-type non-minimal coupling terms. Here R denotes the possible curvature terms and F denotes the electromagnetic 2-form. We derive the variational feld equations and look for exact solutions on constant negative curvature space-times with a constant, self-dual electromagnetic feld. The notion of self-dual electromagnetic felds in three dimensions is introduced by Dereli and collaborators in the study of exact solutions of models with gravity-electromagnetism couplings. We note the conditions that the parameters of the model have to satisfy for these self-dual solutions to exist.Black holes (Astronomy)EntropySupergravityConference proceedinghttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85124937260&doi=10.1088%2f1742-6596%2f2191%2f1%2f012021&partnerID=40&md5=a71115ad1e261776981f5757ab29c3f08874