Moduli, scalar charges, and the first law of black hole thermodynamics

被引：222

作者：

Gibbons, G ^{[1
]}

Kallosh, R ^{[1
]}

Kol, B ^{[1
]}

机构：

[1] STANFORD UNIV,DEPT PHYS,STANFORD,CA 94305

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 77卷 / 25期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.77.4992

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that under variation of moduli fields phi the First law of black hole thermodynamics becomes dM = kappa dA/8 pi + Omega dJ + chi dp - Sigma d phi, where Sigma are the scalar charges, Also the Arnowitt-Desner-Misner mass is extremized at fixed A, J, (p,q) when the moduli fields take the fixed value phi(fix)(p,q) which depend only on electric and magnetic charges. Thus the double-extreme black hole minimizes the mass for fixed conserved charges. We can now explain the fact that extreme black holes fix the moduli fields at the horizon phi = phi(fix)(p,q): phi(fix) is such that the scalar charges vanish: Sigma(phi(fix), (p,q)) = 0.

引用

页码：4992 / 4995

页数：4

共 16 条

[1]

BARDEEN JM, 1973, COMMUN MATH PHYS, V31, P181

[2] 4-DIMENSIONAL BLACK-HOLES FROM KALUZA-KLEIN THEORIES [J].