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Generalized equipartition method from an arbitrary viewing angle
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abstract
The equipartition analysis yields estimates of the radius and energy of synchrotron self-absorbed radio sources. Here we generalize this method to relativistic off-axis viewed emitters. We find that the Lorentz factor $\Gamma$ and the viewing angle $\theta$ cannot be determined independently but become degenerate along a trajectory of minimal energy solutions. The solutions are divided into on-axis and off-axis branches with the former reproducing the classical analysis. A relativistic source viewed off-axis can be disguised as an apparent Newtonian one. Applying this method to radio observations of several tidal disruption events (TDEs), we find that the radio flare of AT 2018hyz which was observed a few years after the optical discovery could have been produced by a relativistic off-axis jet with kinetic energy of $\sim10^{53}\,\rm erg$ that was launched around the time of discovery.
Forward citations
Cited by 2 Pith papers
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Triple radio flares from tidal disruption events: jet-wind collisions and the discovery of a third radio flare from AT2020vwl
The TDE AT2020vwl showed a third radio flare at the time a jet-wind collision was predicted from its first two flares, the first predicted-and-confirmed third flare.
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AT2019ijn: a fast-rising, slow-decaying blue optical transient with exceptionally bright radio emission
AT2019ijn combines LFBOT-like fast optical rise and blue color with slow decay and radio luminosity peaking late at 2e31 erg/s/Hz, best fit as an off-axis jetted IMBH TDE.
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