Nonexistence of black holes with noncanonical scalar fields

We study the existence of black holes with a noncanonical scalar field as a matter source. We prove a simple no-hair theorem which rules out the existence of stationary, asymptotically flat black holes possessing scalar hair for a wide class of noncanonical scalar field theories. This applies to scalar field theories which are of the form of K-essence theories. In particular, we rule out the existence of such black holes in the ghost condensate model, and in large sectors of the dilatonic ghost condensate and Dirac-Born-Infeld models.