Lee-Wick Black Holes
arXiv:1611.03650 · doi:10.1016/j.physletb.2016.11.060
Abstract
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 exceeds a critical value . For the spacetime structure is characterized by an outer event horizon and an inner Cauchy horizon, while for we have an extremal black hole with vanishing Hawking temperature. The evaporation process leads to a remnant that approaches the zero-temperature extremal black hole state in an infinite amount of time.
5 pages, 3 figures. v2: refereed version
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