Exact charged black hole solutions in D-dimensions in f(R) gravity

We consider Maxwell-f® gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f® we fnd a general black hole solution in D-dimensions. This general black hole solution can be reduced to the Reissner-Nordstr"om (RN) black hole in D-dimensions in Einstein gravity and to the known charged black hole solutions with constant curvature in f® gravity. Restricting the parameters of the general solution we get polynomial solutions which reveal novel properties when compared to RN black holes. Specifcally we study the solution in (3 + 1)-dimensions in which the form of f® can be solved explicitly giving a dynamic curvature and compare it with the RN black hole. We also carry out a detailed study of its thermodynamics.