General logarithmic corrections to black-hole entropy

By Saurya Das, P. Majumdar, R. K. Bhaduri. 2001

419 citations recorded by the source corpus.

We compute leading-order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium. When applied to black holes, these corrections are shown to be of the form −k ln(Area). For BTZ black holes, k = 3/2, as found earlier. We extend the result to anti-de Sitter Schwarzschild and Reissner–Nordstrom black holes in arbitrary dimensions. Finally we examine the role of conformal field theory in black-hole entropy and its corrections.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/921c65eb8e261b5704a45223e31f15641e507e22

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Citations in the corpus

Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions (2012, methodology): “The logarithmic corrections to the entropy of BTZ black holes have been computed both from the microscopic [7] and macroscopic [8, 42, 43] perspective.”
Gravity and the crossed product (2021, background): “This term is actually a universal logarithmic correction to the Bekenstein-Hawking entropy that is associated to energy fluctuations in the canonical ensemble [25].”
Quantum gravity with a positive cosmological constant (2002, background): “It is also possible to deduce from this corrections to the Hawking radiation[39], in particular, both logarithmic corrections to the entropy formula[ 40 ] and a fine structure to the hawking radiation[41, 39].”
Quantum tunneling beyond semiclassical approximation (2008, methodology): “Interestingly the leading order correction to the Bekenstein-Hawking entropy is the famous logarithmic term which was found earlier in [22, 23, 24, 25, 26 , 27, 28, 29, 30].”