Binary pulsars as probes for spin-2 ultralight dark matter

Binary pulsars can be excellent probes of ultra-light dark matter. We consider the scenario where the latter is represented by a spin-2 field. The coherent oscillations of the dark matter field perturb the dynamics of binary systems, leading to secular effects for masses that resonate with the binary systems. For the range 10(-23) eV less than or similar to m less than or similar to 10(-17) eV we show that current timing data could potentially constrain the universal coupling strength of dark matter to ordinary matter at the level of alpha similar or equal to 10(-5).