Entropy of the Schwarzschild black hole and the string–black-hole correspondence

1997/01/31 by Sergey N. Solodukhin · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.57.2410

published as Phys.Rev. D57 (1998) 2410-2414 · 12 pages, latex, no figures, extended version

arxiv created 1997/08/06 · openalex publication_date 1998/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The string--black-hole correspondence is considered in the context of the correspondence principle proposed recently by Horowitz and Polchinski. We demonstrate that the entropy of string states and the entropy of a Schwarzschild black hole can be matched including the subleading terms which depend on mass logarithmically. We argue the necessity to include the string interaction (with coupling g) in the consideration and propose the g²-dependent modification of the string entropy. The matching of it with the entropy of the Schwarzschild black hole is analyzed. We also discuss a possible scenario when the entropy of a Schwarzschild black hole appears entirely as an effect of the interaction.

Citations

• Black hole thermodynamics and information loss in two dimensions
• Microscopic Origin of the Bekenstein-Hawking Entropy

Cited by

• Thermal fluctuations and black-hole entropy
• The generalized second law of thermodynamics in Hořava-Lifshitz cosmology
• Logarithmic corrections to black hole and black ring entropy in tunneling approach
• Severe constraints on the loop-quantum-gravity energy-momentum dispersion relation from the black-hole area-entropy law