Entropy and topology for gravitational instantons

被引：44

作者：

Liberati, S

Pollifrone, G

机构：

[1] CERN,DIV THEORY,CH-1211 GENEVA 23,SWITZERLAND

[2] UNIV ROMA LA SAPIENZA,DIPARTIMENTO FIS,I-00185 ROME,ITALY

[3] IST NAZL FIS NUCL,I-00185 ROME,ITALY

来源：

PHYSICAL REVIEW D | 1997年 / 56卷 / 10期

关键词：

D O I：

10.1103/PhysRevD.56.6458

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this work a relation between topology and thermodynamical features of gravitational instantons is shown. The expression for the Euler characteristic, through the Gauss-Bonnet integral, and the one for the entropy of gravitational instantons are proposed in a form that makes the relation between them self-evident. A new formulation of the Bekenstein-Hawking formula, where the entropy and the Euler characteristic are related by S=chi A/8, is obtained. This formula provides the correct results fur a wide class of gravitational instantons described by both spherically and axially symmetric metrics. [S0556-2821(97)06020-7].

引用

页码：6458 / 6466

页数：9

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