The binary neutron star merger GW170817/GRB170817A confirmed that at least
some neutron star mergers are the progenitors of short gamma-ray bursts. Many
short gamma-ray bursts have long-term x-ray afterglows that have been
interpreted in terms of post-merger millisecond magnetars---rapidly rotating,
highly magnetised, massive neutron stars. We review our current understanding
of millisecond magnetars born in short gamma-ray bursts, focusing particularly
three main topics. First, whether millisecond magnetars really do provide the
most plausible explain for the x-ray plateau. Second, determining and observing
the gravitational-wave emission from these remnants. Third, determining the
equation of state of nuclear matter from current and future x-ray and
gravitational-wave measurements.Comment: Conference Proceedings of the Xiamen-CUSTIPEN Workshop on the EOS of
Dense Neutron-Rich Matter in the Era of Gravitational Wave Astronomy (January
3 - 7, 2019, Xiamen, China