The characteristics of circular motion and quasiperiodic oscillations around accelerating black hole
Year: 2025
Type: article
Abstract: This study explores the motion of massive test particles and associated quasi-periodic oscillations (QPOs) around an accelerating black hole. The acceleration factor A suppresses the radial effective potential $$V_{\text {eff}}$$ V eff , thereby lowering the energy $${\mathcal {E}}$$ E and angular momentum $${\mathcal {L}}$$ L required for stable circular orbits. Stability demands $$\partial _r^2 V_{\text {eff}} \ge 0$$ ∂ r 2 V eff ≥ 0 , setting an upper bound AM $$\le 0.0161$$ ≤ 0.0161 . As A increases, the innermost stable circular orbit (ISCO) radius grows, while $${\mathcal {L}}{\text {ISCO}}$$ L ISCO and $${\mathcal {E}}{\text {ISCO}}$$ E ISCO decrease. Radiative efficiency $$\epsilon $$ ϵ rises with A , peaking at $$6.9\%$$ 6.9 % . Fundamental frequencies show that A accelerates the decay of the Keplerian $$\Omega _{\phi }$$ Ω ϕ and vertical $$\Omega _{\theta }$$ Ω θ frequencies, while suppressing the radial frequency E. The divergence between $$\Omega _{\theta }$$ Ω θ and $$\Omega _{\phi }$$ Ω ϕ increases with A , differing from spherical black hole behavior. Using the RP, ER3, ER4, and WD QPO models, the WD model predicts the highest frequencies. ER4’s resonant radius remains fixed across frequency ratios, unlike ER3. Although A suppresses twin-peak QPO frequencies, it enhances the nodal precession frequency $$\nu _{\text {nod}}$$ ν nod . Fitting observational data from GRO J1655−40 and XTE J1859+226 and applying the TOV limit, the ER4 model uniquely fits GRO J1655−40 with $$(10^3A, M, r/M) \approx (4.31, 3.43 M_\odot , 8.08)$$ ( 10
Source: The European Physical Journal C
Authors: Tao-Tao Sui, Xin-Yang Wang
Institution: Anhui University of Science and Technology
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Award: G3831845176
OpenAlex ID: W4414930251