  The existence of the Schwarzschild solution is demonstrated within a new
SO(1,3) gauge field theory whose fundamental gauge field B is of dimension one
allowing for the renormalizability of the full quantum theory. On the other
hand the classically dominant term of the gauge field action can be expressed
in terms of a naturally emerging Vierbein of dimension zero. In fact this
action term is the same functional of the emerging Vierbein e[B] as is the
Einstein-Hilbert action of the Vierbein in General Relativity (GR), albeit with
e[B] subject to a constraint. To solve the Einstein equations a spherically
symmetric Ansatz for e[B] respecting the constraint is determined and
transformed into the standard metric used to calculate the Schwarzschild
solution. This allows to prove the latter's existence making the present theory
a perfectly viable theory of gravitation equivalent to GR at the classical
level.
