phenomenon

relativistic jets

High-speed jets of particles emitted from active galactic nuclei.
42 related articles · 6 formulas

Description

Relativistic jets are narrow, high-speed outflows of plasma and magnetic fields launched from the vicinity of black holes or neutron stars, traveling at speeds close to the speed of light. In active galactic nuclei, they are powered by accretion onto supermassive black holes and can extend for millions of light-years, far beyond their host galaxy. These jets are among the most energetic phenomena in the universe, emitting radiation across the entire electromagnetic spectrum and sometimes producing neutrinos and cosmic rays.

History

The concept of jets in active galaxies was established in the 1970s with radio observations, but the relativistic nature was confirmed in the 1980s with very long baseline interferometry (VLBI) showing apparent superluminal motion. The theoretical framework of magnetic launching was developed by Roger Blandford and Roman Znajek in 1977.

How it works

The jet is launched by the twisting of magnetic field lines anchored in the rotating accretion disk or the black hole's ergosphere. As matter falls inward, the magnetic field extracts rotational energy and accelerates plasma outward along the black hole's spin axis. The jet's emission is produced by synchrotron radiation from relativistic electrons spiraling in the magnetic field, and by inverse Compton scattering of low-energy photons to high energies. When the jet is pointed toward Earth, it appears as a blazar, with its emission boosted by relativistic beaming.

In practice

Relativistic jets are studied to understand black hole spin and accretion physics, and they serve as natural particle accelerators, with some of the highest-energy cosmic rays and neutrinos traced back to them.

Fun fact

The jet in the galaxy M87, imaged by the Event Horizon Telescope, appears to wobble, providing direct evidence of the black hole's spin influence on the jet direction.

Concept graph →

Formulas

$$v = \frac{p}{\sqrt{m^2 + p^2}}$$
Velocity in terms of momentum and mass in special relativity.
What is in the formula
vvariablevelocity of the particle — velocity metre per second
pvariablemomentum of the particle — momentum kilogram metre per second
mvariablerest mass of the particle — mass kilogram
v=\frac{p}{\sqrt{σ^2+p^2}} · 2607.09432
$$\vec{v}_{\text{sky}} = \vec{v} - (\vec{v} \cdot \hat{d})\hat{d}$$
Tangential velocity is total velocity minus its radial component.
What is in the formula
\vec{v}_{\text{sky}}variabletangential (sky-projected) velocity — velocity metre per second
\vec{v}variabletotal velocity vector — velocity metre per second
\hat{d}variableunit vector along the line of sight — unit vector
\cdotoperatorscalar product of two vectors — dot product
\vec{v}_{{sky}}=\vec{v}-(\vec{v}*\hat{d})\hat{d} · 2606.05344v1
$$\beta_{\mathrm{app}} = \frac{\beta \sin\theta}{1 - \beta \cos\theta}$$
Apparent speed exceeding light due to relativistic projection.
What is in the formula
β_appvariableapparent transverse speed in units of c — apparent speed
βvariableactual speed in units of c — velocity
θvariableangle between velocity and line of sight — angle radian
β_{{app}}=\frac{β\sinθ}{1-β\cosθ} · 2606.27430
β=\frac{β_{{app}}}{\sinθ+β_{{app}}\cosθ} · 2607.16104v1
$$K > (\gamma - 1) m c^2$$
Particle kinetic energy exceeds rest mass energy threshold.
What is in the formula
Kvariablekinetic energy — kinetic energy joule
γvariableLorentz factor — lorentz factor
mvariablerest mass — mass kilogram
cvariablespeed of light — speed of light metre per second
cconstantThe speed of light in vacuum, a fundamental constant of nature. — speed of light = 299792458 metre per second
v>2mc^2 · 2604.14378
$$v_{\text{esc}} = \sqrt{\frac{2GM}{r}}$$
Minimum speed to escape a gravitational body.
What is in the formula
v_{\text{esc}}variableescape velocity — velocity metre per second
Gvariablegravitational constant — gravitational constant cubic metre per kilogram per second squared
Mvariablemass of the body — mass kilogram
rvariabledistance from center of mass — radius metre
v_{\odot}>\sqrt{\frac{2gm_{\odot}}{r}} · 2606.04379v1
v_{esc}=\sqrt{\frac{2gm}{r}} · 2607.02691
v_{{esc}}=\sqrt{\frac{2gm_\odot}{r}} · 2607.04216
v_{\rmesc}=\sqrt{2f}{fwhm} · 2607.26269v1
$$v_{\rm esc} = \sqrt{\frac{2GM}{r}}$$
Escape velocity from gravitational potential.
What is in the formula
v_escvariableescape velocity — velocity metre per second
Mvariablemass of the gravitating body — mass kilogram
rvariabledistance from the center of mass — radius metre
GconstantUniversal constant of gravitation, determining the strength of gravitational force. — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
v_{\rmesc}\approx66(\frac{m_{\rmcl}}{10^6m_\odot})^{1/2}(\frac{r_h}{4{пк}})^{-1/2}{км/с} · 2607.05495v1

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