A simple theorem to generate exact black-hole solutions

Under certain conditions imposed on the energy-momentum tensor, a theorem that characterizes a two-parameter family of static and spherically symmetric solutions to Einstein's field equations (black holes), is proved. A discussion on the asymptotics, regularity, and the energy conditions is provided. Examples that include the most known exact solutions within these symmetries are considered. A trivial extension of the theorem includes the cosmological constant {\\it ab-initio}, providing then a three-parameter family of solutions.

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