Mimetic Black Holes
  In this paper, we look for the vacuum static spherically symmetric solution
in the mimetic gravity scenario based on the conformal invariance principle.
The trivial solution is a stealth Schwarzschild black hole with scalar hair
where the mimetic field does not contribute to the background. However, a
solution with two naked singularities shows up when the mimetic scalar field
contributes to the background. We show that one of these singularities is the
same as the singularity at the center of standard Schwarzschild black hole
while the other appears due to caustics formation. However, we construct the
mimetic black hole solution by gluing the exterior static spherically symmetric
solution to a time-dependent anisotropic spacetime describing the interior of
the black hole. It is shown that these two solutions match continuously on the
surface of the apparent horizon. Some physical properties of the corresponding
mimetic black holes are discussed.
