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There exists in literature an increasing interest in the study of massdistributions surrounding black holes as describing dark matter halo in spiralgalaxies. Motivated by this interest, we study a very recent new class ofrotating solutions that are suitable to build anisotropic matter sourcessurrounding rotating black holes. Contrary to the mainstream approach, insteadof use the so called regular black holes as central objects, we perform asmooth matching between the aforementioned anisotropic matter and a centralvacuum Kerr black hole. In this framework, we study in full generality energyconditions near the matching surface. As a result, we found that, afterimposing the vanishing of the energy density $E$ at the matching surface, ifweak and dominant energy conditions (WEC,DEC) are satisfied, then unavoidablestrong energy conditions is violated, i.e. near the event horizon only matterwith dark energy-like features is allowed. As an application, we present twosolutions everywhere satisfying DEC. The first one is asymptotically flat andequipped with a non vanishing electric charge, while the second solutionpresented is equipped with a non-vanishing energy flow around the symmetry axisand it is not asymptotically flat

Physically viable rotating mass solutions surrounding Kerr black hole