neutrino cooling [@Sekiguchi2011; @Neilsen2014].

When magnetic fields are present, on the other hand, the bulk of work carried out so far is considerably more limited. Investigations of the impact that magnetic fields have on the dynamics of the binary have in fact started with the first short-inspiral works in Refs. [@Anderson2008; @Liu:2008xy], which were complemented by the longer simulations in Ref. [@Giacomazzo:2009mp]. The latter work, together with Ref. [@Giacomazzo:2010], also investigated the possibility that magnetic fields could have an impact on the gravitational-wave signals emitted by these systems during the inspiral. The conclusions reached were that, for realistic strengths $B \lesssim 10^{12}\,{{\rm G}}$, the presence of magnetic fields could not be revealed by detectors such as advanced LIGO or advanced Virgo. The astrophysical implications of the merger of a magnetized neutron-star binary were explored in Ref. [@Rezzolla:2011], where it was shown that instabilities in the torus orbiting the black hole amplify the magnetic field by 3 orders of magnitude and generate a magnetic-jet structure characterized by an ordered poloidal magnetic field along the black-hole spin axis. The broad consistency with the observations in terms of black-hole spin, torus mass and accretion rate, and magnetic-field topology offered the first evidence that 