Equation for the energy of Hawking Radiation

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SUMMARY

The equation for the energy of Hawking radiation is derived from quantum field theory in curved spacetime, specifically relating to black hole thermodynamics. The energy of the emitted radiation is proportional to the surface gravity of the black hole and inversely related to its mass. Hawking radiation is emitted at the event horizon, but the exact distance from the event horizon where it becomes detectable is not definitively established in current literature. For a comprehensive understanding, refer to established sources such as the Wikipedia page on Hawking radiation.

PREREQUISITES
  • Quantum field theory in curved spacetime
  • Black hole thermodynamics
  • Understanding of event horizons
  • Familiarity with the concept of surface gravity
NEXT STEPS
  • Study the derivation of the Hawking radiation formula in quantum field theory
  • Explore the implications of black hole thermodynamics on radiation emission
  • Research the relationship between black hole mass and surface gravity
  • Investigate the experimental detection methods for Hawking radiation
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Astronomers, physicists, and students of theoretical physics interested in black hole phenomena and quantum mechanics.

Uranium235
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What is the equation for the energy/frequency of Hawking radiation emitted from a black hole?
Thank you in advance!

EDIT: I found this http://library.thinkquest.org/C007571/english/advance/core5.htm but the website doesn't seem to be a legitimate source and it doesn't give the derivation of the formula.

EDIT: Oh, and I would also like to know how far away from the event horizon is Hawking radiation emitted.
 
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