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Universal canonical black hole entropy.

Ashok Chatterjee¹, Parthasarathi Majumdar

¹Theory Group, Saha Institute of Nuclear Physics, Kolkata 700 064, India. ashok@theory.saha.ernet.in

Physical Review Letters

|April 20, 2004

Summary

Nonrotating black holes exhibit Bekenstein-Hawking entropy with a logarithmic area correction. This universal correction arises from quantum gravity, revealing thermal instability in certain black hole configurations.

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Area of Science:

Theoretical physics
Quantum gravity
Black hole thermodynamics

Background:

The Bekenstein-Hawking area law describes black hole entropy.
Understanding quantum corrections to black hole entropy is crucial.
Nonperturbative canonical quantum general relativity provides a framework for quantum gravity.

Purpose of the Study:

To investigate the canonical entropy of nonrotating black holes in three and four dimensions.
To identify leading corrections to the Bekenstein-Hawking area law.
To explore the implications for black hole thermal stability.

Main Methods:

Applying nonperturbative canonical quantum general relativity.
Analyzing the quantum black hole mass and area spectra.
Assuming a power-law relation between mass and area spectra.

Main Results:

Canonical entropy obeys the Bekenstein-Hawking area law.
A universal, finite, negative logarithmic area correction is identified for large areas.
Thermal instability is observed for asymptotically flat black holes under specific conditions.

Conclusions:

The findings provide a quantum-corrected entropy formula for black holes.
The study links black hole thermodynamics to quantum gravity predictions.
The research highlights the conditions for black hole thermal instability.

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