TOPOLOGY, ENTROPY, AND WITTEN INDEX OF DILATON BLACK-HOLES

被引:158
作者
GIBBONS, GW
KALLOSH, RE
机构
[1] UNIV CAMBRIDGE,DAMTP,CAMBRIDGE,ENGLAND
[2] STANFORD UNIV,DEPT PHYS,STANFORD,CA 94305
来源
PHYSICAL REVIEW D | 1995年 / 51卷 / 06期
关键词
D O I
10.1103/PhysRevD.51.2839
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We have found that for extreme dilaton black holes an inner boundary must be introduced in addition to the outer boundary to give an integer value to the Euler number. The resulting manifolds have (if one identifies imaginary time) a topology S1×R×S2 and Euler number χ=0 in contrast with the nonextreme case with χ=2. The entropy of extreme U(1) dilaton black holes is already known to be zero. We include a review of some recent ideas due to Hawking on the Reissner-Nordström case. By regarding all extreme black holes as having an inner boundary, we conclude that the entropy of all extreme black holes, including [U(1)]2 black holes, vanishes. We discuss the relevance of this to the vanishing of quantum corrections and the idea that the functional integral for extreme holes gives a Witten index. We have studied also the topology of "moduli space" of multi-black-holes. The quantum mechanics on black hole moduli spaces is expected to be supersymmetric despite the fact that they are not hyper-Kähler since the corresponding geometry has a torsion unlike the BPS monopole case. Finally, we describe the possibility of extreme black hole fission for states with an energy gap. The energy released, as a proportion of the initial rest mass, during the decay of an electromagnetic black hole is 300 times greater than that released by the fission of a U235 nucleus. © 1995 The American Physical Society.
引用
收藏
页码:2839 / 2862
页数:24
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