Dark matter constraints from the eccentric supermassive black hole binary OJ 287

OJ 287 is a blazar thought to be a binary system containing a similar or equal to 18 billion solar mass primary black hole accompanied by a similar or equal to 150 million solar mass secondary black hole in an eccentric orbit, which triggers electromagnetic flares twice in every similar or equal to 12 year orbital period when it traverses the accretion disk of the primary. The times of these emissions are consistent with the predictions of general relativity calculated to the 4.5th post-Newtonian order. The orbit of the secondary black hole samples the gravitational field at distances between O(10) and O(50) Schwarzschild radii around the primary, and hence is sensitive to the possible presence of a dark matter spike around it. We find that the agreement of general-relativistic calculations with the measured timings of flares from OJ 287 constrains the mass of such a spike to less than or similar to 3% of the primary mass.