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We derive the form of the metric for static, nonsingular black holes with a de Sitter core, representing a deformation of the Schwarzschild solution, by assuming that the gravitational sources describe a flow between two conformal points, at small and great distances. The resulting black-hole metric turns out to be a particular case of the Fan Wang metric, whose parameters have been recently constrained by using the data of the S star orbits around the galactic centre SgrA.

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