Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
By T. R. Govindarajan, R. Kaul, V. Suneeta. 2001
167 citations recorded by the source corpus.
We derive an exact expression for the partition function of the Euclidean BTZ black hole. Using this, we show that for a black hole with large horizon area, the correction to the Bekenstein-Hawking entropy is $-3/2 log(Area)$, in agreement with that for the Schwarzschild black hole obtained in the canonical gravity formalism and also in a Lorentzian computation of BTZ black hole entropy. We find that the right expression for the logarithmic correction in the context of the BTZ black hole comes from the modular invariance associated with the toral boundary of the black hole.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/aa6a165c398a8f12e807b848736e6008174e6a4e
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In Astronomy and Astrophysics
- Ashoke Sen
- Rajesh Kumar Gupta
- Shamik Banerjee
- M. Schnabl
- S. Trivedi
- G. Turiaci
- Luca V. Iliesiu
- B. Zwiebach
In Nuclear and High Energy Physics
- Ashoke Sen
- Rajesh Kumar Gupta
- Shamik Banerjee
- M. Schnabl
- S. Trivedi
- B. Zwiebach
- L. Rastelli
- G. Turiaci
In Statistical and Nonlinear Physics
- Ashoke Sen
- Rajesh Kumar Gupta
- Shamik Banerjee
- S. Trivedi
- G. Turiaci
- Luca V. Iliesiu
- A. Dabholkar
- Yuji Tachikawa
Citations in the corpus
- Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, background): “In this limit the logarithmic correction to the black hole entropy is known to be universal [70–72].”