An attempt is made in order to clarify the so called regular black holes issue. It is revisited that if one works within general relativity minimally coupled with non linear source, mainly of electromagnetic origin, and within a static spherically symmetric ansatz for the metric, there is still room for singular contribution to the black hole solution. A reconstruction method is proposed and several examples are discussed, including new ones. A possible way to obtain a non singular black hole is introduced, and in this case, several known examples are re-discussed, and new ones are provided.

A reconstruction method can reconstruct non-singular black holes in general relativity, allowing for a singular contribution to the black hole solution.

Paper

A note on singular and non-singular black holes

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