  The successful observation of M87 supermassive black hole by the Black Hole
Event Horizon Telescope(EHT) provides a very good opportunity to study the
theory of gravity. In this work, we obtain the exact solution for the short
hair black hole (BH) in the rotation situation, and calculate in detail how
hairs affect the BH shadow. For the exact solution part, using the Newman-Janis
algorithm, we generalize the spherically symmetric short-hair black hole metric
to the rotation case (space-time lie element (2.25)). For the BH shadow part,
we study two hairy BH models. In model 1, the properties of scalar hair are
determined by the parameters $\alpha_{0}$ and $L$. In model 2, the scalar hair
of the BH is short hair. In this model, the shape of the BH shadow is
determined by scalar charge $Q_{m}$ and $k$. In general, various BH hairs have
different effects on the shadows, such as non-monotonic properties and
intersection phenomena mentioned in this work. Using these characteristics, it
is possible to test the no-hair theorem in future EHT observations, so as to
have a deeper understanding of the quantum effect of BHs. In future work, we
will use numerical simulations to study the effects of various hairs on BHs and
their observed properties.
