Black Hole Entropy: Is S=A/4 robust ?

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SUMMARY

The formula S=A/4, which calculates the entropy of a black hole, is confirmed to be valid in higher-dimensional spacetimes. However, the applicability of this formula in spacetimes that are not asymptotically flat remains uncertain. The discussion highlights the importance of understanding the dimensionality of spacetime when applying black hole thermodynamics principles.

PREREQUISITES
  • Understanding of black hole thermodynamics
  • Familiarity with the concept of entropy in physics
  • Knowledge of spacetime dimensions in general relativity
  • Basic grasp of asymptotic flatness in cosmology
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  • Research the implications of higher-dimensional spacetimes on black hole thermodynamics
  • Explore the concept of asymptotic flatness and its significance in general relativity
  • Study the derivation and applications of the S=A/4 formula in various spacetime contexts
  • Investigate current theories and models addressing black holes in non-asymptotically flat spacetimes
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Physicists, cosmologists, and researchers interested in black hole thermodynamics and the implications of higher-dimensional theories in general relativity.

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I would like to use the formula S=A/4 to find the entropy of a black hole. But before I go ahead and believe that formula, there are a couple of subtleties that are troubling me.

First of all, in just about every "classical" treatment of black hole thermodynamics, there is usually the underlying assumption that the spacetime is 4-dimensional, and asymptotically flat. Does anyone know if the above formula S=A/4 holds in higher-dimensional spacetimes that aren't asymptotically flat?

Thanks.
 
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S=A/4 is valid in higher dimensions. I am not sure about asymptotic flatness.
 

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