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We derive the equations governing static, spherically symmetric vacuumsolutions to the Einstein equations, as modified by the frame-dependenteffective action arising from trace dynamics. We give analytic and numericalresults for the solutions of these equations, first in polar coordinates, andthen 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 thepolar radius, and only vanishes (in isotropic coordinates) at the internalsingularity, (ii) the Ricci scalar $R$ vanishes identically, and (iii) there isa physical singularity at cosmological distances. The large distancesingularity may be an artifact of the static restriction, since we find thatthe behavior at large distances is altered in a time-dependent solution usingthe Mc Vittie Ansatz.

Spherically symmetric vacuum solutions arising from trace dynamics modifications to gravitation