  We present a systematic study of spherically symmetric vacuum solutions of
the IKKT matrix model, within the framework of semi-classical covariant quantum
geometries. All asymptotically flat solutions of the equations of motion of the
frame are found explicitly. They reproduce the linearized Schwarzschild
geometry for large $r$ but deviate from it at the non-linear level, and include
contributions from dilaton and axion. They are pertinent to the pre-gravity
theory arising on classical brane solutions within the classical matrix model,
before taking into account the Einstein-Hilbert term induced by quantum
effects. We also address the problem of reconstructing matrix configurations
corresponding to some given frame, and show that this problem can always be
solved at the geometrical level of the underlying higher spin theory, ignoring
possible higher spin modes.
