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Logarithmic correction to the bekenstein-hawking entropy

Kaul1, Majumdar

  • 1The Institute of Mathematical Sciences, Chennai 600 113, India.

Physical Review Letters
|September 16, 2000
PubMed
Summary

We reexamined the entropy formula for four-dimensional black holes. Our findings reveal logarithmic and inverse-area corrections beyond the standard Bekenstein-Hawking entropy for large horizon areas.

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Area of Science:

  • Theoretical physics
  • Quantum gravity
  • Black hole thermodynamics

Background:

  • The Bekenstein-Hawking formula provides a semiclassical entropy for black holes proportional to their horizon area.
  • Previous work established an exact entropy formula for four-dimensional non-rotating black holes using quantum geometry and Chern-Simons theory.

Purpose of the Study:

  • To reexamine the previously derived exact entropy formula for large black hole horizon areas.
  • To identify and analyze corrections to the semiclassical Bekenstein-Hawking entropy.

Main Methods:

  • Analysis of the exact entropy formula within the quantum geometry formulation.
  • Investigation of boundary states in a three-dimensional Chern-Simons theory.
  • Asymptotic expansion of the entropy formula for large horizon areas.

Main Results:

  • The Bekenstein-Hawking contribution proportional to the horizon area was confirmed.
  • A novel contribution proportional to the logarithm of the horizon area was discovered.
  • Subleading corrections in inverse powers of the area were identified.

Conclusions:

  • The study refines our understanding of black hole entropy beyond the semiclassical approximation.
  • The findings provide new insights into the quantum structure of black hole horizons.
  • The results support the quantum geometry formulation of black hole thermodynamics.

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