Quasiperiodic oscillations as probes of rotating black holes in exponential dark matter environments
Abstract
We construct the rotating counterpart of a black hole embedded in a dark-matter halo with the exponential-sphere profile ρ=ρ0e−r/r0, using the Newman--Janis algorithm in the Azreg-A\"ınou form, and study its imprints on test-particle motion and quasiperiodic oscillations (QPOs). We derive closed-form orbital and epicyclic frequencies valid for any Kerr-like metric with a mass function and show that, to first order, the halo enters them only through its central density, acting as an effective cosmological constant Λeff=8πρ0; the corrections are therefore universal for all cored profiles. The halo moves the innermost stable circular orbit outward and produces an outer boundary of stable orbits, while the sign of the frequency shift depends on the assumed equation of state of the halo. Fitting the relativistic precession model to the simultaneous QPO triplets of GRO~J1655−40 and XTE~J1859+226 with Markov-chain Monte Carlo sampling yields spins and emission radii consistent with Kerr and ρ0M2<2.9×10−5 and 3.0×10−5 (95\%), respectively. In physical units these limits exclude only ultra-dense dark cores, ρ0≳1011~g\,cm−3.
Related
- Dyonic black holes in Lorentz-violating gravity with a background Kalb-Ramond field: Quasiperiodic oscillations and radiative properties
- Constraints on Scalar--Tensor--Vector Gravity Theory Parameters Inferred from Quasiperiodic Oscillations
- Parameter constraints on rotating ABG regular black holes from quasi-periodic oscillations
- Complementary probes of bilinear R-parity violating SUSY models with a winolike LSP via neutrino oscillations and at the LHC
- Neutrino helicity oscillations in astrophysical environments: A many-body approach
BibTeX
@misc{alimkulova2026quasiperiodic,
title = {{Quasiperiodic oscillations as probes of rotating black holes in exponential dark matter environments}},
author = {Madina Alimkulova and Kuantay Boshkayev and Sholpan Gumarova and Aliya Taukenova and Ainur Urazalina},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.18044},
eprint = {2610.18044},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.18044},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quasiperiodic oscillations as probes of rotating black holes in exponential dark matter environments
AU - Madina Alimkulova
AU - Kuantay Boshkayev
AU - Sholpan Gumarova
AU - Aliya Taukenova
AU - Ainur Urazalina
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.18044
UR - https://arxiv.org/abs/2610.18044
AB - We construct the rotating counterpart of a black hole embedded in a dark-matter halo with the exponential-sphere profile ρ=ρ_0e^−r/r_0, using the Newman--Janis algorithm in the Azreg-A\"ınou form, and study its imprints on test-particle motion and quasiperiodic oscillations (QPOs). We derive closed-form orbital and epicyclic frequencies valid for any Kerr-like metric with a mass function and show that, to first order, the halo enters them only through its central density, acting as an effective cosmological constant Λ_eff=8πρ_0; the corrections are therefore universal for all cored profiles. The halo moves the innermost stable circular orbit outward and produces an outer boundary of stable orbits, while the sign of the frequency shift depends on the assumed equation of state of the halo. Fitting the relativistic precession model to the simultaneous QPO triplets of GRO~J1655−40 and XTE~J1859+226 with Markov-chain Monte Carlo sampling yields spins and emission radii consistent with Kerr and ρ_0M^2<2.9×10^−5 and 3.0×10^−5 (95\%), respectively. In physical units these limits exclude only ultra-dense dark cores, ρ_0≳10^11~g\,cm^−3.
ER -