“Binary black holes with scalar hair and Kepler orbits”:

The spectacular discovery of gravitational waves provides a strong impetus to understand black hole binary systems. Being intrinsically relativistic, these systems destroy the simplicity of the starting point in classical mechanics, the Kepler problem. Our aim will be to investigate relativistic corrections in a more general setting that involves charged black holes. The inclusion of a scalar field (originally introduced by Nordstrom) allows one to violate the no-hair theorem. We will discuss how the relativistic corrections can cancel out in this system, thus regaining regain the simplicity (and analytical traction) of the Kepler problem while describing black holes.