Abstract
The total quantum statistical entropy of Reissner-Nordstrom (RN) blackholes is evaluated. The spacetime of the black holes is divided into threeregions - region 1, (r > ro); region 2, (ro > r > ri); and region 3, (ri > r > 0) - where ro is theradius of the outer event horizon, and ri is the radius of theinner event horizon. The total quantum statistical entropy of RN blackholes is S = S1 + S2 + S3, where Si (i = 1,2,3) is theentropy, contributed by region Si (i = 1,2,3). The detailedcalculation shows that S2≈0. S1 = (π2/45)[kbAo/ϵ2β3], S3 = -(π2/45)[kbAi/ϵ2β3], where Ao andAi are, respectively, the area of the outer and inner eventhorizons. Thus, as ri approaches ro, in the extreme casethe total quantum statistical entropy of RN black holes approaches zero.
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