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Total Quantum Statistical Entropy of Reissner-Nordstrom Black
Holes: Scalar Field Case
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| XU Dian-Yan |
| Institute of Microelectronics and Department of Computer Science and Technology, Peking University, Beijing 100871 |
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| Cite this article: |
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XU Dian-Yan 2001 Chin. Phys. Lett. 18 1312-1315 |
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Abstract The total quantum statistical entropy of Reissner-Nordstrom (RN) black holes is evaluated. The spacetime of the black holes is divided into three regions-region 1,( r > ro), region 2, ( ro > r > ri), and region 3, (ri > r > 0 ), where ro is the radius of the outer event horizon, and ri is the radius of the inner event horizon. The total quantum statistical entropy of RN black holes is S = S1 + S2 + S3, where Si, ( i = 1,2,3) is the entropy, contributed by region Si (i = 1,2,3). The detailed calculation shows that S2 ≈ 0. S1 = (π2/45) [ kbAo/ε2β3], S3 = -(π2/45) [kbAi/ε2β3], where Ao and Ai are, respectively, the area of the outer and inner event horizons. Thus, as ri approaches ro, in the extreme case the total quantum statistical entropy of RN black holes approaches zero.
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| Keywords:
04.70.Dy
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Published: 01 October 2001
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| PACS: |
04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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