A Topologically Charged Black Hole in the f ℛ Braneworld

Abstract

We find a new general black hole solution in the braneworld scenario, considering a modified 5-dimensional f ℛ action in the bulk. We study the horizon structure and find the possibility of two, one, or no horizon depending on the value of the topological parameter β . On the thermodynamics side, we show that the value of the topological parameter determines the black hole temperature to have a divergent behaviour at small scales or to present a maximum value before cooling down towards a zero temperature remnant.