Non-Schwarzschild static black hole solutions exist generically in quantum gravity theories with GR as a low-energy limit, as shown from the Vilkovisky-DeWitt effective action using renormalization group invariance.
Static Solutions for 4th order gravity
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The Lichnerowicz and Israel theorems are extended to higher order theories of gravity. In particular it is shown that Schwarzschild is the unique spherically symmetric, static, asymptotically flat, black-hole solution, provided the spatial curvature is less than the quantum gravity scale outside the horizon. It is then shown that in the presence of matter (satisfying certain positivity requirements), the only static and asymptotically flat solutions of General Relativity that are also solutions of higher order gravity are the vacuum solutions
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Black Hole Solutions in Quantum Gravity with Vilkovisky-DeWitt Effective Action
Non-Schwarzschild static black hole solutions exist generically in quantum gravity theories with GR as a low-energy limit, as shown from the Vilkovisky-DeWitt effective action using renormalization group invariance.