Lee-Wick Black Holes

Understand

We derive and study an approximate static vacuum solution generated by a point-like source in a higher derivative gravitational theory with a pair of complex conjugate ghosts.

• The gravitational theory is local and characterized by a high derivative operator compatible with Lee-Wick unitarity.
• In particular, the tree-level two-point function only shows a pair of complex conjugate poles besides the massless spin two graviton.
• We show that singularity-free black holes exist when the mass of the source $M$ exceeds a critical value $M_{\rm crit}$.