High-order corrections to the entropy and area of quantum black holes

Author

Shahar Hod

Affiliations

The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

Journal

Classical and Quantum Gravity Create an alert RSS this journal

Issue

Volume 21, Number 14

Citation

Shahar Hod 2004 Class. Quantum Grav. 21 L97

doi: 10.1088/0264-9381/21/14/L01


LETTER TO THE EDITOR

 
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Abstract

The celebrated area–entropy formula for black holes has provided the most important clue in the search for the elusive theory of quantum gravity. We explore the possibility that the (linear) area–entropy relation acquires some smaller corrections. Using the Boltzmann–Einstein formula, we rule out the possibility for a power-law correction and provide severe constraints on the coefficient of a possible log-area correction. We argue that a non-zero logarithmic correction to the area–entropy relation would also imply a modification of the area–mass relation for quantum black holes.

 
PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

04.60.-m Quantum gravity

MSC

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 14 ( 21 July 2004)

Received 30 May 2004

Published 23 June 2004



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