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Testing charged Simpson-Visser-AdS spacetimes with twin-peak QPOs

Abstract

In this manuscript, we study circular geodesics and twin-peak high-frequency quasi-periodic oscillations (HF-QPOs) in the charged Simpson--Visser--anti-de Sitter (AdS) spacetime, which depends on a charge parameter Q, a regularization scale b and an AdS radius l. Written in terms of the areal radius R=√(r2+b2), the specific energy, angular momentum, Keplerian frequency and innermost stable circular orbit (ISCO) of test particles coincide with those of the Reissner--Nordström--AdS black hole, so b enters the epicyclic spectrum only through a factor 1−b2/R2 in the radial frequency. We give this frequency and the ISCO condition in closed form. We then fit the relativistic-precession model to the HF-QPO pairs of GRO~J1655−40 and XTE~J1550−564, with their dynamical masses included as Gaussian priors. The Schwarzschild limit gives χ2=32.9 for two degrees of freedom. One additional deformation removes this tension: Q/M=0.814+0.059−0.074 at fixed l=100M, or l=40.6+6.2−4.8 M at Q=0, both with χ2≃0.13. These two solutions lie on a single degeneracy valley in the (Q,l) plane, and, at l=100M, b is left unconstrained up to b≃3.9M (68\%), a limit set by the charge prior rather than by the data. A Kerr black hole with spin a≃0.3--$0.4$ reproduces the same pairs, so the inferred deformation most likely absorbs the spin neglected by the static metric. Our results therefore describe degeneracies among orbital-frequency deformations; they are not a measurement of an electric charge or of a cosmological constant.

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BibTeX
@misc{khan2026testing,
  title = {{Testing charged Simpson-Visser-AdS spacetimes with twin-peak QPOs}},
  author = {Saeed Ullah Khan and Javlon Rayimbaev and Muhammad Zahid and Tolaniddin Nurmukhamedov and Abat Muratov and Weiwei Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31534},
  eprint = {2610.31534},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31534},
}
RIS
TY  - UNPB
TI  - Testing charged Simpson-Visser-AdS spacetimes with twin-peak QPOs
AU  - Saeed Ullah Khan
AU  - Javlon Rayimbaev
AU  - Muhammad Zahid
AU  - Tolaniddin Nurmukhamedov
AU  - Abat Muratov
AU  - Weiwei Wang
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31534
UR  - https://arxiv.org/abs/2610.31534
AB  - In this manuscript, we study circular geodesics and twin-peak high-frequency quasi-periodic oscillations (HF-QPOs) in the charged Simpson--Visser--anti-de Sitter (AdS) spacetime, which depends on a charge parameter Q, a regularization scale b and an AdS radius l. Written in terms of the areal radius R=√(r^2+b^2), the specific energy, angular momentum, Keplerian frequency and innermost stable circular orbit (ISCO) of test particles coincide with those of the Reissner--Nordström--AdS black hole, so b enters the epicyclic spectrum only through a factor 1−b^2/R^2 in the radial frequency. We give this frequency and the ISCO condition in closed form. We then fit the relativistic-precession model to the HF-QPO pairs of GRO~J1655−40 and XTE~J1550−564, with their dynamical masses included as Gaussian priors. The Schwarzschild limit gives χ^2=32.9 for two degrees of freedom. One additional deformation removes this tension: Q/M=0.814^+0.059_−0.074 at fixed l=100M, or l=40.6^+6.2_−4.8 M at Q=0, both with χ^2≃0.13. These two solutions lie on a single degeneracy valley in the (Q,l) plane, and, at l=100M, b is left unconstrained up to b≃3.9M (68\%), a limit set by the charge prior rather than by the data. A Kerr black hole with spin a≃0.3--$0.4$ reproduces the same pairs, so the inferred deformation most likely absorbs the spin neglected by the static metric. Our results therefore describe degeneracies among orbital-frequency deformations; they are not a measurement of an electric charge or of a cosmological constant.
ER  -