Rador, Tonguç2018-01-302018-01-302017Rador, T. (2017). S- and T-self-dualities in dilatonic f(R) theories. European Physical Journal C, 77(12). doi:10.1140/epjc/s10052-017-5418-01434-60441434-60441434-6052http://doi.org/10.1140/epjc/s10052-017-5418-0https://hdl.handle.net/11147/6766We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S- or T-self-dualities. The theories we find are free of Ostrogradsky instabilities. We also show that within the framework we are confining ourselves, a theory of the form mentioned above cannot have both T- and S-dualities except for the case where the action is linear in the scalar curvature.eninfo:eu-repo/semantics/openAccessSpace-timeDualityOstrogradsky instabilitiesArticle2-s2.0-8503771962510.1140/epjc/s10052-017-5418-0