Geodesic Circular Orbits Sharing the Same Orbital Frequencies in the Black String Spacetime

Abstract

We consider isofrequency pairing of geodesic orbits that share the same three orbital frequencies associated with Ωr^, Ωφ^, and Ωω^ in a particular region of parameter space around black string spacetime geometry. We study the effect of a compact extra spatial dimension on the isofrequency pairing of geodesic orbits and show that such orbits would occur in the allowed region when particles move along the black string. We find that the presence of the compact extra dimension leads to an increase in the number of the isofrequency pairing of geodesic orbits. Interestingly we also find that isofrequency pairing of geodesic orbits in the region of parameter space cannot be realized beyond the critical value Jcr≈0.096 of the conserved quantity of the motion arising from the compact extra spatial dimension.

Overcharging process around a magnetized black hole: can the backreaction effect of magnetic field restore cosmic censorship conjecture?

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Particle dynamics, black hole shadow and weak gravitational lensing in the f (Q) theory of gravity

“…Test particle motion can be studied as a beneficial tool to examine the metric-based theories defining gravity as a spacetime structure. The impacts of the spacetime curvature and gravitational field parameters on the particle motion have been extensively studied in the literature [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Analyzing the motion of test particles having non-vanishing electric and magnetic charge may lead towards a direct understanding of the essence of the gravitational and electromagnetic field around the gravitating compact object.…”

Dynamics of particles and epicyclic motions around Schwarzschild-de-Sitter black hole in perfect fluid dark matter

“…Thus, the test particle motion can accordingly provide information about the other elements in the black hole vicinity. For example, the magnetic field due to the Lorentz force can drastically affect on the charged particles near the black holes irrespective of the fact that it is weak [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. Similarly, in a realistic astrophysical scenario one can also consider the effect arising from the dark matter fields in the background environment of black holes due to the fact that supermassive black holes may be surrounded by dark matter distribution.…”