  We study the gravitational collapse of a homogeneous time-dependent scalar
field that, besides its coupling to curvature, it is also kinematically coupled
to the Einstein tensor. This coupling is a part of the Horndeski theory and we
investigate its effect on the collapsing process. We find that the time
required for the scalar field to collapse depends on the value of the
derivative coupling and the singularity is protected by a horizon. Matching the
internal solution with an external Schwarzschild- AdS metric we show that a
black hole is formed, while the weak energy condition is satisfied during the
collapsing process. The scalar field takes on a finite value at the
singularity.

General Relativity and Quantum Cosmology;High Energy Physics - Theory