The Black-Hole Antenna: Radio Echo of Evaporation ✛ ✎

Original: "Electromagnetic Emission from a Black Hole Evaporating in External Magnetic Field"
arXiv:2607.16880v1 · 2026-07-18 · arXiv non-exclusive · independent analysis · 1 min
As a black hole evaporates in a magnetic field, the shifting geometry of spacetime spawns radio waves, a purely classical effect.

The mass of the black hole dwindles, and the space around it trembles. In 1974, Stephen Hawking showed that black holes evaporate due to quantum particles that pop up right at the edge. But it turns out that even without these particles, a dying hole can make its presence heard. If magnetic field lines thread through it, the change in spacetime curvature makes the field oscillate and spit out electromagnetic waves. It’s like an antenna that radiates when it shakes — only here the antenna is the black hole itself, and the ‘shaking’ comes from mass loss under gravity. The geometry of a non-rotating hole was first described by Karl Schwarzschild way back in 1916.

The waves from such an antenna are ultra-long radio waves. For a black hole with the mass of a small asteroid, a single wavelength stretches as far as the distance from Earth to the Sun.

When scientists applied the laws of electrodynamics in curved space, they found that the radiation is extremely weak but precisely predictable. Its spectrum is ‘red’—the lower the frequency, the more energy it carries. The peak occurs at waves whose period matches the hole’s lifetime. And primordial black holes, tiny ones born in the early universe, might just emit very slow waves that we could still try to catch. So a dying black hole turns into a transmitter, its signal adding a fresh page to the story of its evaporation.

Even in Earth’s magnetic field, the signal from a black-hole antenna would be $10^{30}$ times weaker than its main quantum radiation: that’s a billion times fainter than a cell phone signal from the Moon.

M(t) = m_0 \left(1 - \frac{t}{\tau_H}\right)^{1/3}
The black hole's mass decreases according to a power law, reaching zero after the lifetime τ_H.
\frac{dE_B}{d\omega} \propto \frac{B_0^2 m_0^2}{\tau_H^{2/3}} \omega^{-8/3}
Energy drops sharply with increasing frequency: the lower the frequency, the stronger the signal—a typical red spectrum.
Scientists
Stephen HawkingJacob BekensteinJohn Archibald WheelerAlbert EinsteinBarry BarishKip Thorne
Concepts
black hole evaporation Hawking radiation black hole superradiance electromagnetic radiation light emission neutron star light emission information loss remnant scalar particle Penrose process particle creation anomalous hall effect hawking area law Aharonov–Bohm effect energy release magnetic energy external magnetic field semiclassical gravity Bekenstein-Hawking entropy event horizon