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AdS Dyonic Black Hole and its Thermodynamics

H. Lü
(
- Beijing Normal U.
)
,
Yi Pang
(
- Texas A-M
)
,
C.N. Pope
(
- Texas A-M and
- Cambridge U., DAMTP
)

Jul 23, 2013

19 pages

Published in:

JHEP 11 (2013) 033

Published: 2013

e-Print:

1307.6243 [hep-th]

DOI:

10.1007/JHEP11(2013)033

Report number:

MIFPA-13-24

View in:

reference search125 citations

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Abstract: (arXiv)

We obtain spherically-symmetric and

\R^2

-symmetric dyonic black holes that are asymptotic to anti-de Sitter space-time (AdS), which are solutions in maximal gauged four-dimensional supergravity, with just one of the U(1) fields carrying both the electric and magnetic charges

(Q,P)

. We study the thermodynamics, and find that the usually-expected first law does not hold unless P=0, Q=0 or P=Q. For general values of the charges, we find that the first law requires a modification with a new pair of thermodynamic conjugate variables. We show that they describe the scalar hair that breaks some of the asymptotic AdS symmetries.

Note:

21 pages, typos corrected, discussion of Euclidean action added

Classical Theories of Gravity
Black Holes
Supergravity Models
black hole: dyon
space-time: anti-de Sitter
charge: magnetic
hair: scalar
dimension: 4
thermodynamics
thermodynamical

References(38)

Figures(0)

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