Quintessential effects on quasiperiodic oscillations in 4D Einstein–Gauss–Bonnet gravity

Abstract Dynamics of test particles in the space-time of a quintessential black hole (BH) in a novel four-dimensional Einstein–Gauss–Bonnet (EGB) theory is studied. First, we analyse the properties of the space-time of the BH and possible values of the coupling $$\alpha $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>α</mml:mi> </mml:math> and quintessential parameters q that allows the existence of the event horizon. The scalar invariants of the space-time and effects of the parameters on innermost stable circular orbits (ISCOs) radius are also studied. Moreover, fundamental frequencies such as Keplerian and harmonic oscillations are investigated together with applications to quasi-periodic oscillations (QPOs) where the powerful way to test gravity theories using astrophysical observations of twin-peak QPOs is discussed.

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