Finite black hole entropy and string theory

Journal Article · Sat Oct 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.5225· OSTI ID:6909994

McGuigan, M ^[1]

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1. Institute for Fundamental Theory, University of Florida, Gainesville, Florida 32611 (United States)

An accelerating observer sees a thermal bath of radiation at the Hawking temperature which is proportional to the acceleration. Also, in string theory there is a Hagedorn temperature beyond which one cannot go without an infinite amount of energy. Several authors have shown that in the context of Hawking radiation a limiting temperature for string theory leads to a limiting acceleration, which for a black hole implies a minimum distance from the horizon for an observer to remain stationary. We argue that this effectively introduces a cutoff in Rindler space or the Schwarzschild geometry inside of which accelerations would exceed this maximum value. Furthermore, this natural cutoff in turn allows one to define a finite entropy for Rindler space or a black hole as all divergences were occurring on the horizon. In all cases if a particular relationship exists between Newton's constant and the string tension then the entropy of the string modes agrees with the Bekenstein-Hawking formula.

• DOE Contract Number: FG05-86ER40272
• OSTI ID: 6909994
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:8; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661310* -- Relativity & Gravitation-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATION
BLACK HOLES
COMPOSITE MODELS
ENTROPY
EXTENDED PARTICLE MODEL
MATHEMATICAL MODELS
METRICS
PARTICLE MODELS
PHYSICAL PROPERTIES
QUARK MODEL
SCHWARZSCHILD METRIC
STRING MODELS
THERMODYNAMIC PROPERTIES