Particle dynamics around an electrically charged Kiselev black hole embedded in quintessence

TL;DR

We address the dynamics of charged test particles around a new exact solution: an electrically charged Kiselev black hole embedded in a charged quintessence fluid. Using Hamiltonian dynamics, we derive the effective potential and analyze orbit types, circular orbits, stability via Lyapunov exponents, and special zero-angular-momentum cases. We find that uncharged particles exhibit prograde periapsis precession, while charged particles can display retrograde precession depending on charge, energy, and the quintessence coupling, highlighting environmental effects on strong-field precession. The results offer potential observational signatures and motivate further work on rotating configurations and more complex quintessence fields.

Abstract

We introduce and study a new solution describing a static, spherically symmetric and electrically charged black hole embedded in a charged quintessence fluid, which corresponds to an electric generalization of the Kiselev geometry. We derive the effective potential and analyze the various types of orbits followed by charged particles. A special attention is given to circular orbits and their stability. We found that for uncharged particles the periapsis shifts for bounded orbits is always prograde. However, for charged test particles the periapsis shifts can become retrograde in some cases.

Figures (15)

• Figure 1: Left panel. The effective potential (\ref{['potential']}) for different values of $U$. The values of the other parameters are: $M=1$, $w=-2/3$, $k=0.02$, $\varepsilon=-3/2$, $L=\sqrt{6}$. Right panel. The effective potential (\ref{['potential']}) for different values of $w$. The values of the other parameters are: $M=1$, $U=0.5$, $k=0.01$, $\varepsilon=-2$ and $L=1$.
• Figure 2: The effective potential (\ref{['potential']}) for different values of $k$. The values of the parameters are: $M=1$, $w=-2/3$, $U=0.5$, $\varepsilon=-2$, $L=2.5$ ( left panel) and $M=1$, $w=-2/3$, $U=0.5$, $\varepsilon=0.5$, $L=5$ ( right panel).
• Figure 3: Regions corresponding to $E \geq V_{eff}$, where the particle motion is allowed. The values of the parameters are: $M=1$, $U=0.8$, $w=-2/3$, $k=0.02$, $\varepsilon=-3/2$, $L=\sqrt{6}$.
• Figure 4: Bound orbits of charged particles moving in the potential represented in figure \ref{['fig:regions']}. The blue circle represents the black hole horizon $r_-$.
• Figure 5: Bound orbits of charged particles. The values of parameters are $M=1$, $U=0.5$, $k=0.002$, $w=-1$, $\varepsilon=-2.5$, $L=0.7$. The blue circle represents the black hole horizon $r_-$.