  We present black hole type solutions in the scalar-tensor theory with
nonminimal derivative coupling to the Einstein tensor. The effects of the
nonminimal derivative coupling appear in the large scales, while the solutions
approach those in the Einstein gravity in the small scales. For the particular
coupling constant tuned to the inverse of the cosmological constant, the scalar
field becomes trivial and the solutions in the Einstein gravity are recovered.
For the other coupling constant, more general solutions can be obtained. If the
two-dimensional maximally symmetric space is a two-sphere, the spacetime
structure approaches anti-de Sitter spacetime in the large scales. On the other
hand, if the two-dimensional space is a two-hyperboloid, the spacetime
approaches de Sitter (AdS) spacetime. If it is a flat space, the cosmological
constant affects only the amplitude of the scalar field. The extension to the
higher-dimensional case is also straightforward. For a certain range of the
negative cosmological constant, thermodynamic properties of a black hole are
very similar to those of the Schwarzschild-AdS black hole in the Einstein
gravity.
