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Hawking radiation

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Black holes emit thermal radiation.

Key relationT = ħc³/8πGMk

Quantum effects near the horizon give black holes a temperature T = ħc³/(8πGMk_B) and slow evaporation. A solar-mass hole has 60 nK.

Worked example

Smaller holes are hotter and evaporate faster.

Common mistake

Not yet observed.

In more detail

Hawking radiation is a predicted thermal emission from black holes, arising from quantum effects near the event horizon. It implies that black holes slowly lose mass over time.

Real-world uses

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Frequently asked questions

Has Hawking radiation been observed?

Not directly from astrophysical black holes, because it is extremely weak.

What does it imply for black holes?

They can slowly evaporate, though this takes an enormous time for stellar black holes.

Will black holes evaporate?

In theory, yes, very slowly, and the rate depends on the black hole's mass; large black holes lose energy far too slowly to matter in practice.

Related topics in Relativity

Geodesics · Schwarzschild metric · Black hole event horizon · Gravitational waves detection · Frame dragging · Light bending by the Sun

← All Relativity topics