  We study modifications of the Schwarzschild solution within the
noncommutative gauge theory of gravity. In the present analysis, the deformed
solutions are obtained by solving the field equations perturbatively, up to the
second order in the noncommutativity parameter $\Theta$, for both exterior and
interior solutions of the equations of motion for $e_\mu ^a \left(x\right)$.
Remarkably, we find that this new noncommutive solution is analogous to the
Reissner-Nordstr\"om solution in the ordinary spacetime, in which the square of
electric charge is replaced by the square of the noncommutativity parameter,
but with opposite sign. This amounts to the noncommutative Schwarzschild radius
$r_{NCS}$ becoming larger than the usual radius $r_S =2M$, instead of smaller
as it happens to the Reissner-Nordstr\"om radius $r_{RN}$, implying that
$r_{NCS}>r_{S} >r_{RN}$. An intuitive interpretation of this result is
mentioned.
