Dissipation and acoustic tunnelling about the sonic horizon of Bondi accretion

Abstract

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 ?�m�?�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 ?�?�10?5.