phenomenon

black hole accretion

Black hole accretion is the process by which matter falls into a black hole, often producing radiation and outflows.
26 related articles · 6 formulas

Description

Black hole accretion is the process by which matter spirals into a black hole, forming a hot, glowing disk that can outshine entire galaxies. As gas and dust fall inward, they gain enormous kinetic energy, which is converted into heat and radiation through friction and magnetic stresses. This process is the primary way black holes are detected, as the accretion disk emits X-rays, visible light, and radio waves long before the matter crosses the event horizon.

History

The concept was developed in the 1970s, with key contributions from Nikolai Shakura and Rashid Sunyaev, who formulated the standard thin-disk model in 1973.

How it works

Matter with angular momentum doesn't fall straight in; it forms a rotating disk. Viscous forces and magnetic instabilities within the disk transport angular momentum outward, allowing material to slowly drift inward. As it approaches the black hole, gravitational potential energy is released, heating the disk to millions of degrees. Some of this energy powers relativistic jets—narrow beams of plasma ejected along the black hole's spin axis—while the rest emerges as radiation from the disk's surface.

In practice

Accretion disk models are used to estimate black hole masses in active galactic nuclei and X-ray binaries, and to interpret observations from telescopes like the Event Horizon Telescope.

Fun fact

The luminosity of an accretion disk can reach a limit called the Eddington limit, where the outward pressure of radiation balances the inward pull of gravity, causing the disk to blow away material in powerful winds.

Concept graph →

Formulas

$$L_{\rm acc} = \frac{G M \dot{M}}{R}$$
Luminosity released by accretion onto a compact object.
What is in the formula
L_{\rm acc}variableaccretion luminosity — luminosity watt
Mvariablemass of the accreting object — mass kilogram
\dot{M}variablemass accretion rate — mass flow rate kilogram per second
Rvariableradius at which accretion energy is released — radius metre
GconstantConstant of universal gravitation. — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
l_{\rmacc}=\frac{gm_1\dot{m}}{r_1} · 2607.12971
$$P = ackslash eta ackslash dot{M} c^2$$
Power released by accretion onto a compact object.
What is in the formula
Pvariableaccretion power — power watt
ηvariableefficiency of mass-to-energy conversion
Ṁvariablemass accretion rate — mass flow rate kilogram per second
cconstantSpeed of light in vacuum — speed of light = 299792458 metre per second
p=\eta_a\eta_φ\dot{m}_{bh}c^2 · 2606.02700v1
$$\dot{M} = 4\pi\lambda\frac{(G M)^2 \rho_\infty}{(c_s^2 + v_{\text{rel}}^2)^{3/2}}$$
Accretion rate onto a gravitating body depends on mass, gas density, and relative speed.
What is in the formula
\dot{M}variablemass accretion rate — mass accretion rate kilogram per second
Mvariablemass of the gravitating body — mass kilogram
\rho_\inftyvariableambient gas density at infinity — mass density kilogram per cubic metre
c_svariablesound speed in the gas — speed metre per second
v_{\text{rel}}variablerelative velocity of the body through the gas — velocity metre per second
GconstantNewtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
\lambdaconstantdimensionless accretion efficiency factor of order unity — accretion efficiency = 1
\dot{m}_{\rmtarget}=4πλ\frac{(gm_{\rmbh})^2ρ_\infty}{(c_s^2+v_{\rmrel}^2)^{3/2}} · 2607.00349
$$M(t) = M_0 \left(1 - \frac{t}{\tau}\right)^{1/3}$$
Black hole mass decreases as cube root of time during Hawking evaporation.
What is in the formula
MvariableBlack hole mass at time t — mass kilogram
M_0variableInitial black hole mass — mass kilogram
tvariableTime since start of evaporation — time second
τvariableTotal evaporation timescale — time second
1 - t/τoperatorComputes the fraction of remaining lifetime — linear combination
( )^{1/3}operatorTakes the cube root of the remaining fraction — cube root
m(t)=m_0(1-\frac{t}{τ_h})^{1/3} · 2607.16880v1
$$r_H \propto \frac{\dot{M}}{\rho c_s}$$
Horizon radius scales with accretion rate over density and sound speed.
What is in the formula
r_HvariableAccretion horizon radius — radius metre
\dot{M}variableMass accretion rate — mass flow rate kilogram per second
\rhovariableMass density of accreting material — mass density kilogram per cubic metre
c_svariableSound speed in accreting material — speed metre per second
r_h^4=\frac{f^2}{ρ^2c_s^2} · 2605.04158v2
$$S \propto A$$
Entropy of a black hole is proportional to its horizon area.
What is in the formula
SvariableBlack hole entropy — entropy joule per kelvin
AvariableBlack hole horizon area — area square metre
s\proptoa^{\frac{2+α}{2α}} · 2606.22431

Related articles · 26

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