Publisher Erratum to: The European Physical Journal C (2023) 83:242 https://doi.org/10.1140/epjc/s10052-023-11305-4

The original article has been published without having implemented all corrections. Equations (9) and (10) should read as follows:

Equation 9:

$$\begin{aligned}{} & {} \ell =-\left. \frac{g_{t\phi }}{g_{tt}}\right| _\intercal =-\frac{2 a r_{\intercal } \sigma _{\intercal } }{\Sigma _\intercal -2 r_\intercal }, \quad \text{ where } \nonumber \\{} & {} r_\intercal ^\mp =\mp \sqrt{a^2 \left( \sigma _\intercal +\frac{\sigma _\intercal ^2}{\ell ^2}-1\right) -\frac{2 a \sigma _\intercal }{\ell }+1}-\frac{a \sigma _\intercal }{\ell }+1,\nonumber \\ \end{aligned}$$
(9)

Equation 10:

$$\begin{aligned}{} & {} \sigma _\intercal \equiv \frac{\ell \Delta _\intercal }{a (a \ell -2 r_\intercal )},\quad r_\intercal ^-= r_\intercal ^+=r_{cr}\equiv a\sqrt{1-\sigma _\intercal },\nonumber \\{} & {} {\mathcal {E}}_\intercal \equiv - g_ {tt}(\intercal ) \dot{t}_\intercal ,\quad {\mathcal {L}}_\intercal \equiv g_ {t\phi }(\intercal )\dot{t}_\intercal , \end{aligned}$$
(10)

The original article has been corrected. The publisher apologizes for the inconvenience caused.