We calculate leading long-distance noncommutative corrections to the classical Schwarzschild black hole sourced by a massive noncommutative scalar field. The energy-momentum tensor is taken $\mathcal{O}({\ell }^4)$ in the noncommutative parameter $\ell$ and is treated in the semiclassical (tree-level) approximation. These noncommutative corrections dominate classical post-post-Newtonian corrections if $\ell >1/M_P$. However, they are still very small to be observable in present-day experiments.

• Received 4 December 2007

DOI:https://doi.org/10.1103/PhysRevD.79.047701