AdS5 x S5 black hole metric at O(α′3)

We compute O(alpha'(3)) corrections to the AdS(5) x S-5 black hole metric. We find that the radius of the S-5 depends on the radial AdS(5) coordinate. This completes the computation of Gubser, Klebanov and Tseytlin (hep-th/9805156). The fact that the metric no longer factorizes should modify the value of the Wilson line at finite temperature and the glueball mass spectrum.