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.
(Quantum aspects of black holes, evaporation, thermodynamics)
引用本文:
XU Dian-Yan. Total Quantum Statistical Entropy of Reissner-Nordstrom Black
Holes: Scalar Field Case
[J]. 中国物理快报, 2001, 18(10): 1312-1315.
XU Dian-Yan. Total Quantum Statistical Entropy of Reissner-Nordstrom Black
Holes: Scalar Field Case
. Chin. Phys. Lett., 2001, 18(10): 1312-1315.
2001, Vol. 18 
