http://arxiv.org/abs/2303.11134
In this paper, we develop a framework to re-examine the weak lensing (including the microlensing) effects of the static spherical symmetric wormhole in terms of the radial equation of state $\eta=\frac{p_r}{\rho}$ (REoS). As for its application, we calculate its magnification, and event rate under this REoS, in which we show that the maximal value of magnification of the Ellis-Bronnikov wormhole is only related to the relative position and intrinsic angle, whose the maximal value is around five. For the event rate, our results indicate that one cannot distinguish the Eillis-Bronnikov wormhole and charged wormhole, but its order is much higher than the vacuum case, in which all these metrics belong to the static spherical symmetric wormhole metric. By calculating the lensing equation of the static spherical symmetric wormhole, we find an explicit formula between the maximal number of images of the wormhole and $\eta$. It shows that this relation is consistent with the classical wormhole, but the case for wormhole with quantum corrections is still mysterious. Our new method may shed new light on distinguishing the wormhole and blackhole via the event rate.
K. Gao and L. Liu
Tue, 21 Mar 23
49/68
Comments: 19 pages, 7 figures, comments are welcome
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