  We consider the sector of Horndeski's gravity characterized by the coupling
between the kinetic scalar field term and the Einstein tensor. We numerically
construct neutron star configurations where the external geometry is identical
to the Schwarzschild metric but the interior structure is considerably
different from standard general relativity. We constrain the only parameter of
this model from the requirement that compact configurations exist, and we argue
that solutions less compact than neutron stars, such as white dwarfs, are also
supported. Therefore, our model provides an explicit modification of general
relativity that is astrophysically viable and does not conflict with Solar
System tests.
