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Suekdccia
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- TL;DR Summary
- Will evaporating black holes (with neutral charge) emit the same amount of electrons and positrons to conserve charge when their Hawking temperature is high enough? What about charged black holes?
Black holes are expected to evaporate due to Hawking Radiation [1]. As they would lose mass with this process, their radius would also shrink. According to Hawking temperature [2], since it is inversely proportional to the mass of the black hole, as the radius (or the mass) decreases, the black hole would be able to radiate more energetic electromagnetic radiation. Following this, there will be a moment where they should be able to radiate massive particles. One example of a massive parricle that they could emit is the electron.
However, if they would conserve charge, wouldn't they have to emit at the same moment a positron? Or this emission is random and therefore a black hole could emit more electrons than positrons (and vice versa)? What about charged black holes?
[1]: https://en.wikipedia.org/wiki/Hawking_radiation
[2]: https://commons.wikimedia.org/wiki/File:Formula_for_blackbody_temperature_of_Hawking_radiation.png
However, if they would conserve charge, wouldn't they have to emit at the same moment a positron? Or this emission is random and therefore a black hole could emit more electrons than positrons (and vice versa)? What about charged black holes?
[1]: https://en.wikipedia.org/wiki/Hawking_radiation
[2]: https://commons.wikimedia.org/wiki/File:Formula_for_blackbody_temperature_of_Hawking_radiation.png