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arXiv · 1611.03650

Lee-Wick Black Holes

Cosimo Bambi·Leonardo Modesto·Yixu Wang
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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 $M$ exceeds a critical value $M_{\rm crit}$. For $M > M_{\rm crit}$ the spacetime structure is characterized by an outer event horizon and an inner Cauchy horizon, while for $M = M_{\rm crit}$ 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.

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Cosimo Bambi, Leonardo Modesto, Yixu Wang. 2016-12-10. Lee-Wick Black Holes. https://doi.org/10.1016/j.physletb.2016.11.060

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