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In this paper, a large family of topological black hole solutions ofdimensionally continued gravity are derived. The action of Lovelock gravity iscoupled to the exponential electrodynamics and the equations of motion aresolved in the presence of a pure magnetic source. We work out the metricfunctions in terms of the parameter $\beta$ of exponential electrodynamics, andmagnetic charge. Further, we couple Lovelock gravity to power-Yang-Mills theoryand construct black holes, in diverse dimensions, having Yang-Mills magneticcharge. We also discuss the asymptotic bahaviour of metric functions andcurvature invariants at the origin for both the models. The thermodynamics ofresulting magnetized black hole solutions in the framework of two differentmodels is also studied. The thermodynamical quantities like Hawkingtemperature, entropy and specific heat capacity at constant charge are foundand we show that the resulting quantities satisfy the first law of black holethermodynamics. We also study the magnetized hairy black holes of dimensionallycontinued gravity.

Magnetized topological black holes of dimensionally continued gravity