From the observed linear growth of Lorentz factor with jet radius in M87, the paper derives a polytropic index of 4/3 for the jet plasma, independent of the transverse force balance.
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Relativistic polytrope from the collimation and acceleration profiles of the M87 jet at subparsec scales and thermodynamic evidence for the Blandford-Znajek mechanism
From the observed linear growth of Lorentz factor with jet radius in M87, the paper derives a polytropic index of 4/3 for the jet plasma, independent of the transverse force balance.