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

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

Gary W. Gibbons
(
- Cambridge U.
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)
,
Barak Kol
(
- Stanford U., Phys. Dept.
)

Jul, 1996

3 pages

Published in:

Phys.Rev.Lett. 77 (1996) 4992-4995

e-Print:

hep-th/9607108 [hep-th]

DOI:

10.1103/PhysRevLett.77.4992

Report number:

SU-ITP-96-35

View in:

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Abstract:

We show that under variation of moduli fields

\phi

the first law of black hole thermodynamics becomes

dM = {\kappa dA\over 8\pi} + \Omega dJ + \psi dq + \chi dp - \Sigma d\phi

, where

\Sigma

are the scalar charges. We also show that the ADM mass is extremized at fixed

A

,

J

,

(p,q)

when the moduli fields take the fixed value

\phi_{\rm fix}(p,q)

which depend only on electric and magnetic charges. It follows that the least mass of any black hole with fixed conserved electric and magnetic charges is given by the mass of the double-extreme black hole with these charges. Our work allows us to interpret the previously known observation that for all extreme black holes the moduli fields at the horizon take a value

\phi= \phi_{\rm fix}(p,q)

depending only on the electric and magnetic conserved charges:

\phi_{\rm fix}(p,q)

is such that the scalar charges

\Sigma (\phi_{\rm fix}, (p,q))=0

.

string model
moduli space
black hole
thermodynamics

References(10)

Figures(0)

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)

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