  We present numerical studies of 3-dimensional magnetohydrodynamic (MHD)
turbulence in a strongly magnetized medium in the extremely relativistic limit,
in which the inertia of the charge carriers can be neglected. We have focused
on strong Alfvenic turbulence in the limit. We have found the following
results. First, the energy spectrum is consistent with a Kolmogorov spectrum:
$E(k)\sim k^{-5/3}$. Second, turbulence shows a Goldreich-Sridhar type
anisotropy: $k_{\|} \propto k_{\perp}^{2/3}$, where $k_{\|}$ and $k_{\perp}$
are wavenumbers along and perpendicular to the local mean magnetic field
directions, respectively. These scalings are in agreement with earlier
theoretical predictions by Thompson & Blaes.
