The paper gives explicit conserved currents and charges in static spherically symmetric Conformal Killing Gravity and corrects the Altas-Tekin conserved current, which is nonzero for the Harada vacuum.
have shown in [1] eq.12, that, despite Tkl being zero, the parameter M is interpretable in the distributional sense as a conserved mass-charge (the total energy)
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Note on conserved currents in static Conformal Killing Gravity
The paper gives explicit conserved currents and charges in static spherically symmetric Conformal Killing Gravity and corrects the Altas-Tekin conserved current, which is nonzero for the Harada vacuum.