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Quantum Statistical Entropy of Non-extreme and Nearly Extreme Black Holes in Higher-Dimensional Space-Time |
| 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 2003 Chin. Phys. Lett. 20 18-21 |
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Abstract The free energy and entropy of Reissner-Nordstrom black holes in higher-dimensional space-time are calculated by the quantum statistic method with a brick wall model. The space-time 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 detailed calculation shows that the entropy contributed by region 2 is zero, the entropy contributed by region 1 is positive and proportional to the outer event horizon area, the entropy contributed by region 3 is negative and proportional to the inner event horizon area. The total entropy contributed by all the three regions is positive and proportional to the area difference between the outer and inner event horizons. As ri approaches ro in the nearly extreme case, the total quantum statistical entropy approaches zero.
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| Keywords:
04.70.Dy
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Published: 01 January 2003
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| PACS: |
04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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