Challenges to Self-Acceleration in Modified Gravity from Gravitational
  Waves and Large-Scale Structure
  With the advent of gravitational-wave astronomy marked by the aLIGO GW150914
and GW151226 observations, a measurement of the cosmological speed of gravity
will likely soon be realized. We show that a confirmation of equality to the
speed of light as indicated by indirect Galactic observations will have
important consequences for a very large class of alternative explanations of
the late-time accelerated expansion of our Universe. It will break the dark
degeneracy of self-accelerated Horndeski scalar-tensor theories in the
large-scale structure that currently limits a rigorous discrimination between
acceleration from modified gravity and from a cosmological constant or dark
energy. Signatures of a self-acceleration must then manifest in the linear,
unscreened cosmological structure. We describe the minimal modification
required for self-acceleration with standard gravitational-wave speed and show
that its maximum likelihood yields a 3-sigma poorer fit to cosmological
observations compared to a cosmological constant. Hence, equality between the
speeds challenges the concept of cosmic acceleration from a genuine
scalar-tensor modification of gravity.
