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Non-minimally coupled Y(R)-Maxwell gravity which have some interestingsolutions may be used to understand dark matter, dark energy, the origin ofcosmic magnetic field and the evaluation of the universe. We give some newsolutions to the model such as spherically symmetric electric, magnetic anddyon solutions. We point out an existence of an electromagnetic dualitytransformation for the model.

Electromagnetic Duality and New Solutions of the Non-minimally Coupled Y(R)-Maxwell Gravity