Effective field theory methods suggest that some rather-general extensions of General Relativity include higher-order curvature corrections, with small coupling constants. In this talk, we discuss black hole solutions in such a framework. First, we construct spherically symmetric black hole solutions and study gravitational perturbation around them. Despite the higher-order operators of the theory, we show that linearized field equations obey second-order differential equations. We also study slowly rotating solutions around spherically symmetric black hole solutions and show that the spacetimes do not have Z2 symmetry due to the parity violating term.
Reference：V. Cardoso, M. Kimura, A. Maselli, L. Senatore, arXiv:1808.08962 [gr-qc]