Can Black Hole Evaporation Preserve Entropy While Losing Mass?

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SUMMARY

The discussion centers on the relationship between black hole evaporation, mass loss, and entropy preservation. It is established that according to the no-hair theorem, black holes are characterized by a limited set of parameters, excluding entropy. As a black hole loses mass through thermal radiation, its entropy, which is proportional to its surface area, also decreases. Ultimately, when a black hole's mass reaches zero, its entropy becomes nonexistent.

PREREQUISITES
  • Understanding of the no-hair theorem in black hole physics
  • Familiarity with black hole thermodynamics
  • Knowledge of general relativity principles
  • Basic concepts of entropy and its relation to surface area
NEXT STEPS
  • Research the implications of the no-hair theorem on black hole characteristics
  • Explore black hole thermodynamics and the laws governing entropy
  • Study the effects of thermal radiation on black hole mass and entropy
  • Investigate the relationship between singularities and black hole parameters
USEFUL FOR

The discussion is beneficial for physicists, astrophysicists, and students studying general relativity and black hole thermodynamics, particularly those interested in the fundamental properties of black holes and entropy dynamics.

The Lobster
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During black hole thermal radiation can mass be radiated while entropy stays? Is it possible that entropy stays in the singularity?
 
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According to general relativity (and a few contributions from high-energy physics) Black holes should obey the 'no-hair theorem', which states that there are only a few very basic parameters which fully describe the nature of a black-hole (note: 'black-hole' does not equal 'singularity'). Entropy is not one of the fundamental parameters---instead, entropy is a function of the black hole's surface area, which is a function of its mass (and a few other things). If the mass decreases, so does the entropy. If there is no mass, there is no entropy.
 

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