Analytical ray-tracing of synchrotron emission around accreting black holes

Open Access

Fig. 1.

Geometry of the accreting matter around the BH. The fluid element is described by the radius vector, $\hat{r}$ $\boldsymbol{\hat{r}}$ , and velocity, $\hat{v}$ $\boldsymbol{\hat{v}}$ . Its trajectory is shifted from the midplane of the accretion disk by the angle, η. The observer is located in the direction of $\hat{o}$ $\boldsymbol{\hat{o}}$ , making an angle, i, with the disk normal, $\hat{n}$ $\boldsymbol{\hat{n}}$ .

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