CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and
  Redshift Space Distortions
  Dark energy may be the first sign of new fundamental physics in the Universe,
taking either a physical form or revealing a correction to Einsteinian gravity.
Weak gravitational lensing and galaxy peculiar velocities provide complementary
probes of General Relativity, and in combination allow us to test modified
theories of gravity in a unique way. We perform such an analysis by combining
measurements of cosmic shear tomography from the Canada-France Hawaii Telescope
Lensing Survey (CFHTLenS) with the growth of structure from the WiggleZ Dark
Energy Survey and the Six-degree-Field Galaxy Survey (6dFGS), producing the
strongest existing joint constraints on the metric potentials that describe
general theories of gravity. For scale-independent modifications to the metric
potentials which evolve linearly with the effective dark energy density, we
find present-day cosmological deviations in the Newtonian potential and
curvature potential from the prediction of General Relativity to be (Delta
Psi)/Psi = 0.05 \pm 0.25 and (Delta Phi)/Phi = -0.05 \pm 0.3 respectively (68
per cent CL).
