  The formation of singularities in certain situations, such as the collapse of
massive stars, is one of the unresolved issues in classical general relativity.
Although no complete theory of quantum gravity exists it is often suggested
that quantum gravity effects may prevent the formation of these singularities.
In this article we will present arguments that a quantized theory of gravity
might exhibit asymptotic freedom. Considering the similarites between
non-Abelian gauge theories and general relativity it is conjectured that a
quantized theory of gravity may have a coupling strength which decreases with
increasing energy scale. Such a scale dependent coupling strength, could
provide a concrete mechanism for preventing the formation of singularities.
