Solutions in the scalar-tensor theory with nonminimal derivative coupling

Understand

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.