Spherically symmetric vacuum solutions arising from trace dynamics
  modifications to gravitation
  We derive the equations governing static, spherically symmetric vacuum
solutions to the Einstein equations, as modified by the frame-dependent
effective action arising from trace dynamics. We give analytic and numerical
results for the solutions of these equations, first in polar coordinates, and
then in isotropic coordinates. General features of the static case are that (i)
there is no horizon, since $g_{00}$ is non-vanishing for finite values of the
polar radius, and only vanishes (in isotropic coordinates) at the internal
singularity, (ii) the Ricci scalar $R$ vanishes identically, and (iii) there is
a physical singularity at cosmological distances. The large distance
singularity may be an artifact of the static restriction, since we find that
the behavior at large distances is altered in a time-dependent solution using
the Mc Vittie Ansatz.
