Abstract
We consider a class of Einstein-Maxwell-Dilaton theories, in which the dilaton coupling to the Maxwell field is not the usual single exponential function, but one with a stationary point. The theories admit two charged black holes: one is the Reissner-Nordstrøm (RN) black hole and the other has a varying dilaton. For a given charge, the new black hole in the extremal limit has the same AdS2×Sphere near-horizon geometry as the RN black hole, but it carries larger mass. We then introduce some scalar potentials and obtain exact charged AdS black holes. We also generalize the results to black p-branes with scalar hair.
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References
G.W. Gibbons and K.-i. Maeda, Black holes and membranes in higher dimensional theories with dilaton fields, Nucl. Phys. B 298 (1988) 741 [INSPIRE].
M.J. Duff and J.X. Lu, String/five-brane duality, loop expansions and the cosmological constant, Nucl. Phys. B 357 (1991) 534 [INSPIRE].
A. Sagnotti, A note on the Green-Schwarz mechanism in open string theories, Phys. Lett. B 294 (1992) 196 [hep-th/9210127] [INSPIRE].
J. Erler, Anomaly cancellation in six-dimensions, J. Math. Phys. 35 (1994) 1819 [hep-th/9304104] [INSPIRE].
M.J. Duff, H. Lü and C.N. Pope, Heterotic phase transitions and singularities of the gauge dyonic string, Phys. Lett. B 378 (1996) 101 [hep-th/9603037] [INSPIRE].
M.J. Duff, R. Minasian and E. Witten, Evidence for heterotic/heterotic duality, Nucl. Phys. B 465 (1996) 413 [hep-th/9601036] [INSPIRE].
G. Aldazabal, A. Font, L.E. Ibáñez and F. Quevedo, Heterotic/heterotic duality in D = 6, D=4,Phys. Lett. B 380(1996) 33[hep-th/9602097] [INSPIRE].
D.R. Morrison and C. Vafa, Compactifications of F-theory on Calabi-Yau threefolds. 1, Nucl. Phys. B 473 (1996) 74 [hep-th/9602114] [INSPIRE].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
H. Lü, S. Mukherji, C.N. Pope and J. Rahmfeld, Loop corrected entropy of near extremal dilatonic p-branes, Phys. Lett. B 389 (1996) 248 [hep-th/9604127] [INSPIRE].
C. Martinez and J. Zanelli, Conformally dressed black hole in (2 + 1)-dimensions, Phys. Rev. D 54 (1996) 3830 [gr-qc/9604021] [INSPIRE].
M. Nadalini, L. Vanzo and S. Zerbini, Thermodynamical properties of hairy black holes in n spacetimes dimensions, Phys. Rev. D 77 (2008) 024047 [arXiv:0710.2474] [INSPIRE].
A. Anabalon, Exact black holes and universality in the backreaction of non-linear σ-models with a potential in (A)dS 4, JHEP 06 (2012) 127 [arXiv:1204.2720] [INSPIRE].
A. Anabalon, Exact hairy black holes, Springer Proc. Phys. 157 (2014) 3 [arXiv:1211.2765] [INSPIRE].
P.A. González, E. Papantonopoulos, J. Saavedra and Y. Vásquez, Four-dimensional asymptotically AdS black holes with scalar hair, JHEP 12 (2013) 021 [arXiv:1309.2161] [INSPIRE].
A. Anabalón and D. Astefanesei, On attractor mechanism of AdS 4 black holes, Phys. Lett. B 727 (2013) 568 [arXiv:1309.5863] [INSPIRE].
A. Aceña, A. Anabalón, D. Astefanesei and R. Mann, Hairy planar black holes in higher dimensions, JHEP 01 (2014) 153 [arXiv:1311.6065] [INSPIRE].
X.-H. Feng, H. Lü and Q. Wen, Scalar hairy black holes in general dimensions, Phys. Rev. D 89 (2014) 044014 [arXiv:1312.5374] [INSPIRE].
C.A.R. Herdeiro and E. Radu, Kerr black holes with scalar hair, Phys. Rev. Lett. 112 (2014) 221101 [arXiv:1403.2757] [INSPIRE].
P.A. González, E. Papantonopoulos, J. Saavedra and Y. Vásquez, Extremal hairy black holes, JHEP 11 (2014) 011 [arXiv:1408.7009] [INSPIRE].
D.C. Zou, Y. Liu, B. Wang and W. Xu, Thermodynamics of rotating black holes with scalar hair in three dimensions, Phys. Rev. D 90 (2014) 104035 [arXiv:1408.2419] [INSPIRE].
Q. Wen, Strategy to construct exact solutions in Einstein-scalar gravities, arXiv:1501.02829 [INSPIRE].
C. Herdeiro and E. Radu, Construction and physical properties of Kerr black holes with scalar hair, Class. Quant. Grav. 32 (2015) 144001 [arXiv:1501.04319] [INSPIRE].
C.A.R. Herdeiro and E. Radu, Asymptotically flat black holes with scalar hair: a review, Int. J. Mod. Phys. D 24 (2015) 1542014 [arXiv:1504.08209] [INSPIRE].
F. Faedo, D. Klemm and M. Nozawa, Hairy black holes in N = 2 gauged supergravity, arXiv:1505.02986 [INSPIRE].
Z.-Y. Fan and H. Lü, Static and dynamic hairy planar black holes, arXiv:1505.03557 [INSPIRE].
H.-S. Liu and H. Lü, Scalar charges in asymptotic AdS geometries, Phys. Lett. B 730 (2014) 267 [arXiv:1401.0010] [INSPIRE].
H. Lü, C.N. Pope and Q. Wen, Thermodynamics of AdS black holes in Einstein-scalar gravity, JHEP 03 (2015) 165 [arXiv:1408.1514] [INSPIRE].
H. Lü, Y. Pang and C.N. Pope, An ω deformation of gauged STU supergravity, JHEP 04 (2014) 175 [arXiv:1402.1994] [INSPIRE].
G. Dall’Agata, G. Inverso and M. Trigiante, Evidence for a family of SO(8) gauged supergravity theories, Phys. Rev. Lett. 109 (2012) 201301 [arXiv:1209.0760] [INSPIRE].
B. de Wit and H. Nicolai, Deformations of gauged SO(8) supergravity and supergravity in eleven dimensions, JHEP 05 (2013) 077 [arXiv:1302.6219] [INSPIRE].
H. Lü, Charged dilatonic AdS black holes and magnetic AdS D−2 × R 2 vacua, JHEP 09 (2013) 112 [arXiv:1306.2386] [INSPIRE].
H. Lü, C.N. Pope, E. Sezgin and K.S. Stelle, Stainless super p-branes, Nucl. Phys. B 456 (1995) 669 [hep-th/9508042] [INSPIRE].
M. Cvetič and D. Youm, Entropy of nonextreme charged rotating black holes in string theory, Phys. Rev. D 54 (1996) 2612 [hep-th/9603147] [INSPIRE].
F. Larsen, A String model of black hole microstates, Phys. Rev. D 56 (1997) 1005 [hep-th/9702153] [INSPIRE].
M.J. Duff, H. Lü and C.N. Pope, The black branes of M-theory, Phys. Lett. B 382 (1996) 73 [hep-th/9604052] [INSPIRE].
M. Cvetič and A.A. Tseytlin, Nonextreme black holes from nonextreme intersecting M-branes, Nucl. Phys. B 478 (1996) 181 [hep-th/9606033] [INSPIRE].
H.-S. Liu, H. Lü and C.N. Pope, Generalised smarr formula and the viscosity bound for Einstein-Maxwell-dilaton black holes, arXiv:1507.02294 [INSPIRE].
G. Policastro, D.T. Son and A.O. Starinets, The shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma, Phys. Rev. Lett. 87 (2001) 081601 [hep-th/0104066] [INSPIRE].
P. Kovtun, D.T. Son and A.O. Starinets, Holography and hydrodynamics: diffusion on stretched horizons, JHEP 10 (2003) 064 [hep-th/0309213] [INSPIRE].
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Fan, ZY., Lü, H. Charged black holes with scalar hair. J. High Energ. Phys. 2015, 60 (2015). https://doi.org/10.1007/JHEP09(2015)060
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DOI: https://doi.org/10.1007/JHEP09(2015)060