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The binary neutron star merger GW170817/GRB170817A confirmed that at leastsome neutron star mergers are the progenitors of short gamma-ray bursts. Manyshort gamma-ray bursts have long-term x-ray afterglows that have beeninterpreted in terms of post-merger millisecond magnetars---rapidly rotating,highly magnetised, massive neutron stars. We review our current understandingof millisecond magnetars born in short gamma-ray bursts, focusing particularlythree main topics. First, whether millisecond magnetars really do provide themost plausible explain for the x-ray plateau. Second, determining and observingthe gravitational-wave emission from these remnants. Third, determining theequation of state of nuclear matter from current and future x-ray andgravitational-wave measurements.

Neutron Star Merger Remnants: Braking Indices, Gravitational Waves, and the Equation Of State