Epicyclic orbits in the field of Einstein-Dirac-Maxwell traversable wormholes applied to the quasiperiodic oscillations observed in microquasars and active galactic nuclei
Zden\v{e}k Stuchl\'ik, Jaroslav Vrba

TL;DR
This paper investigates the orbital dynamics around Einstein-Dirac-Maxwell wormholes and applies the findings to explain high-frequency quasiperiodic oscillations in microquasars and active galactic nuclei, providing insights into their possible wormhole nature.
Contribution
It introduces a model of epicyclic motion in Einstein-Dirac-Maxwell wormholes and demonstrates its application to astrophysical HF QPO observations, linking wormhole parameters to observable phenomena.
Findings
Wormhole models can explain HF QPOs in active galactic nuclei with realistic parameters.
In microquasars, HF QPOs impose strict constraints on wormhole parameters.
Some sources require unrealistically large wormhole parameters for explanation.
Abstract
We study the epicyclic oscillatory motion around circular orbits of the traversable asymptotically flat and reflection-symmetric wormholes obtained in the Einstein-Dirac-Maxwell theory without applying exotic matter in their construction. We determine frequencies of the orbital and epicyclic motion in the Keplerian disks having inner edge at the marginally stable circular geodesic of the spacetime. The obtained frequencies are applied in the so called geodesic models of high-frequency quasiperiodic oscillations (HF QPOs) observed in microquasars and active galactic nuclei containing a supermassive central object. We show that even the simplest epicyclic resonance variant of the geodesic models can explain the HF QPOs observed in many active galactic nuclei for realistic choices of the wormhole parameters, but there are some of the sources where only wormholes with unrealistically large…
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