Hawking radiation from not-a-black-hole?

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SUMMARY

The discussion centers on the concept of Hawking radiation and its applicability to spherically symmetric non-rotating objects, not just black holes. It highlights that according to the Schwarzschild solution, such objects should emit Hawking radiation. A thought experiment involving a silicon sphere cooled to absolute zero raises questions about the energy source for emitted radiation, emphasizing the absence of an event horizon in finite-radius objects. The conversation also introduces the idea that horizons can exist for quasiparticles or through acceleration, as seen in the Unruh effect.

PREREQUISITES
  • Understanding of the Schwarzschild solution in general relativity
  • Familiarity with quantum mechanics and particle emission
  • Knowledge of thermal dynamics, particularly absolute zero
  • Concepts of event horizons and the Unruh effect
NEXT STEPS
  • Research the implications of the Schwarzschild solution on non-black hole objects
  • Explore the Unruh effect and its relation to particle physics
  • Investigate the conditions under which Hawking radiation can occur
  • Examine the role of event horizons in quantum field theory
USEFUL FOR

Physicists, astrophysicists, and students of theoretical physics interested in the intersections of general relativity and quantum mechanics, particularly those exploring the nature of Hawking radiation and event horizons.

nikkkom
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Since Schwarzschild solution describes exterior not only of black holes, but of any spherically symmetric non-rotating objects, then any such object should emit Hawking radiation, no?

Then how exactly is that working?

Let's set up a thought experiment. Say, we construct a spherically symmetric non-rotating object from ordinary atoms (say, a sphere of pure silicon). We know exactly how many atoms is there. We cool it to zero K (IOW: it has no thermal energy to create any particles) and position it in an empty space, devoid of any matter and radiation.

Now we observe it. When we detect a quantum of "Hawking-radiated" emission, where did the object get energy to create it? Is there one less Si atom in the object?
 
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Objects with a finite radius have a different metric inside. In particular, you are missing the event horizon that is crucial for Hawking radiation.

You don't need a black hole for a horizon, however. You can create horizons for quasiparticles in matter (example) or with accelerations (Unruh effect).
 

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