  This paper revisits quantum corrections to gravity. It was shown previously
by other authors that quantum field theories in curved space time provide
quadratic curvature forms as quantum corrections to gravity in a conformally
flat metric. Application to a spherically symmetric and static (SSS) metric
shows that only the Gauss Bonnet combination (GB) yields the correct
expression. Using a variational method, the author shows that the metric he
obtained in 1985 as an example in a simplified case was indeed the exact
solution for a SSS metric. This proves that gravity becomes repulsive at short
distances by quantum corrections.
