In superfluid dark matter, the charge tied to the chemical potential is not conserved, so the chemical potential is only an approximation valid on timescales much shorter than 10^8 years; the paper gives the correct prescription and a two-field alternative.
Does GW170817 falsify MOND?
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abstract
The gravitational-wave event GW170817 and the near-simultaneous corresponding gamma-ray burst (GRB 170817 A) falsify modified gravity theories in which the gravitational geometry differs non-conformally from physical geometry. Thus, the observations of this event definitively rule out theories, such as TeVeS, a suggested relativistic extension of Milgrom's modified Newtonian dynamics (MOND), that predict a significantly different Shapiro delay for electromagnetic and gravitational radiation. While not falsifying MOND per se, GW170817 severely constrains relativistic extensions of MOND to theories that do not rely on additional matter-coupling fields but rather upon modified field equations for one universal gravitational and physical metric. Here I mention a simple preferred-frame theory as an example.
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The role of the chemical potential in coupling superfluid dark matter to baryons
In superfluid dark matter, the charge tied to the chemical potential is not conserved, so the chemical potential is only an approximation valid on timescales much shorter than 10^8 years; the paper gives the correct prescription and a two-field alternative.