phenomenon

quasi periodic oscillation

Regular variations in X-ray emissions from black hole accretion disks, revealing spin and dynamics.
52 related articles · 3 formulas

Description

Quasi-periodic oscillations (QPOs) are regular, repeating variations in the X-ray brightness of accreting black holes and neutron stars. They appear as distinct peaks in the power spectrum of the observed light curve, indicating that the emission is modulated at specific frequencies, typically ranging from millihertz to hundreds of hertz. These oscillations are not perfectly periodic like a clock, but rather quasi-periodic, meaning their frequency and amplitude can drift over time. QPOs are a powerful diagnostic tool for probing the extreme physics of accretion disks and the strong gravitational fields near compact objects.

History

QPOs were first discovered in the 1980s in X-ray binaries, with the launch of the EXOSAT satellite. The term was coined to describe the broad, peaked features seen in the power spectra of sources like Cygnus X-1 and GX 5-1. Since then, they have been observed in many systems, including microquasars and, more recently, in some active galactic nuclei.

How it works

The exact mechanism behind QPOs is still debated, but the leading models involve instabilities and resonances in the accretion disk. One prominent idea is that QPOs arise from orbital motion of hot spots or clumps of matter in the inner disk, where the orbital frequency is set by the black hole's mass and spin. Another model invokes disk oscillations, where the disk itself vibrates at characteristic frequencies due to pressure and gravity restoring forces. The observed frequencies and their ratios can be used to infer the black hole's mass and spin, as well as the geometry of the accretion flow.

In practice

QPOs are used to measure black hole spins and masses, test general relativity in strong-field regimes, and probe the structure of accretion disks. They also serve as a tool to study the interaction between the disk and the black hole's magnetosphere.

Fun fact

In 2020, astronomers detected quasi-periodic oscillations in gamma-ray bursts, suggesting that the central engine of these explosions may be a hyper-accreting black hole with a disk that oscillates in a similar way to stellar-mass black holes in our galaxy.

Concept graph →

Formulas

$$T(r) = \left( \frac{3 G M \dot{M}}{8 \pi \sigma r^3} \right)^{1/4}$$
Temperature radial profile for an accretion disk.
What is in the formula
T(r)variabledisk temperature at radius r — temperature kelvin
rvariableradial distance from the central object — radius metre
Mvariablemass of the central object — mass kilogram
\dot{M}variablemass accretion rate — mass flow rate kilogram per second
GconstantConstant of universal gravitation. — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
\sigmaconstantConstant relating blackbody radiated power to temperature. — stefan boltzmann constant = 5.670374419e-8 watt per square metre per kelvin to the fourth
t(r)=(\frac{3gm_1\dot{m}}{8πσr^3})^{1/4} · 2607.12971
$$H_{ ext{eff}} = H_0 + rac{[H_{-1}, H_{+1}]}{ ext{frequency}}$$
Approximates the static Hamiltonian under high-frequency driving.
What is in the formula
H_effvariableeffective static Hamiltonian — hamiltonian joule
H_0variabletime-averaged Hamiltonian — hamiltonian joule
H_{-1}variablefirst negative Fourier component of the Hamiltonian — hamiltonian joule
H_{+1}variablefirst positive Fourier component of the Hamiltonian — hamiltonian joule
frequencyvariabledriving frequency — angular frequency radian per second
[ , ]operatormeasures the non-commutativity of two operators — commutator
h_{{eff}}\approxh_0+\frac{[h_{-1},h_{+1}]}{ħω} · 2606.31867
$$\Delta(r) = r^2 - 2Mr + a^2 + Q^2$$
Horizon function for charged rotating black holes with charge Q.
What is in the formula
rvariableradial coordinate — radial coordinate metre
Mvariableblack hole mass — mass kilogram
avariablespecific angular momentum (spin parameter) — angular momentum per unit mass metre
Qvariableelectric charge — electric charge coulomb
δ_{{ed}}(r)=r^2-2mr+a^2+q · 2607.13992

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