Hawking radiation is the quantum effect where black holes emit thermal radiation due to particle creation near their event horizons.Hawking radiation arises from quantum effects at the horizon. The strong gravitational field tears apart virtual particle pairs, dooming one to fall in and letting the other escape. The escaping particle becomes real, carrying away energy. To a distant observer, the black hole emits a thermal spectrum with a temperature inversely proportional to its mass.
In 1971, Bekenstein proposed that the area of a black hole’s horizon is proportional to its entropy. Hawking was initially skeptical, but by 1974, applying quantum field theory in curved space (specifically, the Schwarzschild metric), he derived the existence of thermal radiation. This united thermodynamics and general relativity and gave rise to the information loss paradox, still debated today.
Near the horizon, the gravitational field gradient tidally separates virtual pairs. One particle acquires negative energy and falls in, reducing the hole’s mass; the other escapes as a real particle with positive energy. The energy spectrum is strictly Planckian with a temperature of about 6×10⁻⁸ K for a solar-mass black hole. For small primordial black holes, the temperature can be enormous, and the final stage of evaporation is an explosion. The process is universal and independent of the details of the collapse.
Shows that black holes are not eternal. Links gravity with quantum physics, a step towards a unified theory of nature.
A black hole with the mass of the Sun would evaporate in about 10^67 years — far longer than the age of the Universe.
| T | variable | Hawking temperature of the black hole — temperature kelvin |
| M | variable | Mass of the black hole — mass kilogram |
| \hbar | constant | Reduced Planck constant, fundamental quantum of action — reduced planck constant = 1.054571817e-34 joule second |
| c | constant | Speed of light in vacuum, universal speed limit — speed of light = 299792458 metre per second |
| G | constant | Newtonian constant of gravitation, sets strength of gravity — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| k_B | constant | Boltzmann constant, relates temperature to energy — boltzmann constant = 1.380649e-23 joule per kelvin |






