Abstract
There has recently been a strong revival of interest in quasi-extremal magnetically charged black holes. In the asymptotically flat case, it is possible to choose the magnetic charge of such an object in such a manner that the black hole is surrounded by a corona in which electroweak symmetry is restored on macroscopic scales, a result of very considerable interest. We argue that holographic duality indicates that the asymptotically AdS analogues of these black holes have several interesting properties: the dual theory is only physical if the black hole is required to rotate; in the rotating case, the magnetic field at the poles does not attain its maximum on the event horizon, but rather somewhat outside it; the magnetic field at the equator is not a monotonically decreasing function of the magnetic charge; the electric fields induced by the rotation, while smaller than their magnetic counterparts, are by no means negligible; the maximal electric field often occurs neither at the poles nor at the equator; and so on. Most importantly, in the magnetically charged case it is possible to avoid the superradiant instability to which neutral AdS-Kerr black holes are subject; but the need to avoid this instability imposes upper bounds on the magnetic and electric fields. In some circumstances, therefore, the corona may not exist in the asymptotically AdS case.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
B. Zhang, Mergers of Charged Black Holes: Gravitational Wave Events, Short Gamma-Ray Bursts, and Fast Radio Bursts, Astrophys. J. Lett. 827 (2016) L31 [arXiv:1602.04542] [INSPIRE].
M. Zajaček and A. Tursunov, Electric charge of black holes: Is it really always negligible?, arXiv:1904.04654 [INSPIRE].
Y. Gong, Z. Cao, H. Gao and B. Zhang, On neutralization of charged black holes, Mon. Not. Roy. Astron. Soc. 488 (2019) 2722 [arXiv:1907.05239] [INSPIRE].
K.-M. Lee, V.P. Nair and E.J. Weinberg, A Classical instability of Reissner-Nordstrom solutions and the fate of magnetically charged black holes, Phys. Rev. Lett. 68 (1992) 1100 [hep-th/9111045] [INSPIRE].
L. Liu, Ø. Christiansen, Z.-K. Guo, R.-G. Cai and S.P. Kim, Gravitational and electromagnetic radiation from binary black holes with electric and magnetic charges: Circular orbits on a cone, Phys. Rev. D 102 (2020) 103520 [arXiv:2008.02326] [INSPIRE].
A. Allahyari, M. Khodadi, S. Vagnozzi and D.F. Mota, Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope, JCAP 02 (2020) 003 [arXiv:1912.08231] [INSPIRE].
J. Maldacena, A. Milekhin and F. Popov, Traversable wormholes in four dimensions, arXiv:1807.04726 [INSPIRE].
J. Maldacena, Comments on magnetic black holes, arXiv:2004.06084 [INSPIRE].
J. Maldacena and A. Milekhin, Humanly traversable wormholes, arXiv:2008.06618 [INSPIRE].
Y. Bai, J. Berger, M. Korwar and N. Orlofsky, Phenomenology of magnetic black holes with electroweak-symmetric coronas, JHEP 10 (2020) 210 [arXiv:2007.03703] [INSPIRE].
D. Ghosh, A. Thalapillil and F. Ullah, Astrophysical hints for magnetic black holes, Phys. Rev. D 103 (2021) 023006 [arXiv:2009.03363] [INSPIRE].
S. Rath and B.K. Patra, Momentum and its affiliated transport coefficients for hot QCD matter in a strong magnetic field, Phys. Rev. D 102 (2020) 036011 [arXiv:2001.11788] [INSPIRE].
X. Guo, J. Liao and E. Wang, Magnetic Field in the Charged Subatomic Swirl, Nucl. Phys. A 1005 (2021) 121917 [arXiv:2002.02616] [INSPIRE].
J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, Cambridge University Press, Cambridge U.K. (2014) [https://doi.org/10.1017/CBO9781139136747] [arXiv:1101.0618] [INSPIRE].
M. Natsuume, AdS/CFT Duality User Guide, in Lecture Notes in Physics 903, Springer, Tokyo Japan (2015) [arXiv:1409.3575] [INSPIRE].
M. Baggioli, Applied Holography: A Practical Mini-Course, in SpringerBriefs in Physics, Springer, Cham Switzerland (2019) [arXiv:1908.02667] [INSPIRE].
S.A. Hartnoll and P. Kovtun, Hall conductivity from dyonic black holes, Phys. Rev. D 76 (2007) 066001 [arXiv:0704.1160] [INSPIRE].
O. Aharony, O. Bergman, D.L. Jafferis and J. Maldacena, N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals, JHEP 10 (2008) 091 [arXiv:0806.1218] [INSPIRE].
O. Bergman, S. Hirano and G. Lifschytz, Some New Results in AdS4/CFT3 Duality, J. Phys. Conf. Ser. 462 (2013) 012003 [INSPIRE].
Y.C. Ong, The attractor of evaporating Reissner-Nordström black holes, Eur. Phys. J. Plus 136 (2021) 61 [arXiv:1909.09981] [INSPIRE].
C.M. Chambers, W.A. Hiscock and B.E. Taylor, Spinning down a black hole with scalar fields, Phys. Rev. Lett. 78 (1997) 3249 [gr-qc/9703018] [INSPIRE].
B.E. Taylor, C.M. Chambers and W.A. Hiscock, Evaporation of a Kerr black hole by emission of scalar and higher spin particles, Phys. Rev. D 58 (1998) 044012 [gr-qc/9801044] [INSPIRE].
E. Annala, T. Gorda, A. Kurkela, J. Nättilä and A. Vuorinen, Evidence for quark-matter cores in massive neutron stars, Nature Phys. 16 (2020) 907 [arXiv:1903.09121] [INSPIRE].
R. Turolla, S. Zane and A. Watts, Magnetars: the physics behind observations. A review, Rept. Prog. Phys. 78 (2015) 116901 [arXiv:1507.02924] [INSPIRE].
M.Y. Jamal and B. Mohanty, Energy-loss of heavy quarks in the isotropic collisional hot QCD medium at a finite chemical potential, Eur. Phys. J. Plus 136 (2021) 130 [arXiv:2002.09230] [INSPIRE].
G. Baym, T. Hatsuda, T. Kojo, P.D. Powell, Y. Song and T. Takatsuka, From hadrons to quarks in neutron stars: a review, Rept. Prog. Phys. 81 (2018) 056902 [arXiv:1707.04966] [INSPIRE].
S. Fallows and S.F. Ross, Making near-extremal wormholes traversable, JHEP 12 (2020) 044 [arXiv:2008.07946] [INSPIRE].
K. Fukushima, B. Mohanty and N. Xu, Little-Bang and Femto-Nova in Nucleus-Nucleus Collisions, arXiv:2009.03006 [INSPIRE].
J.-H. Gao, Z.-T. Liang, Q. Wang and X.-N. Wang, Global polarization effect and spin-orbit coupling in strong interaction, arXiv:2009.04803 [INSPIRE].
S.W. Hawking and H.S. Reall, Charged and rotating AdS black holes and their CFT duals, Phys. Rev. D 61 (2000) 024014 [hep-th/9908109] [INSPIRE].
R. Brito, V. Cardoso and P. Pani, Superradiance: New Frontiers in Black Hole Physics, in Lecture Notes in Physics 906, Springer, Cham Switzerland (2015) [arXiv:1501.06570] [INSPIRE].
R. Heras, Dirac quantisation condition: a comprehensive review, Contemp. Phys. 59 (2018) 331 [arXiv:1810.13403] [INSPIRE].
M.M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories, Class. Quant. Grav. 17 (2000) 399 [hep-th/9908022] [INSPIRE].
A.N. Aliev, Gyromagnetic Ratio of Charged Kerr-Anti-de Sitter Black Holes, Class. Quant. Grav. 24 (2007) 4669 [hep-th/0611205] [INSPIRE].
G.W. Gibbons, M.J. Perry and C.N. Pope, The First law of thermodynamics for Kerr-anti-de Sitter black holes, Class. Quant. Grav. 22 (2005) 1503 [hep-th/0408217] [INSPIRE].
J.-J. Peng, C.-L. Zou and H.-F. Liu, A Komar-like integral for mass and angular momentum of asymptotically AdS black holes in Einstein gravity, arXiv:2008.06733 [INSPIRE].
B. McInnes, A rotation/magnetism analogy for the quark-gluon plasma, Nucl. Phys. B 911 (2016) 173 [arXiv:1604.03669] [INSPIRE].
A. Dubla, U. Gürsoy and R. Snellings, Charge-dependent flow as evidence of strong electromagnetic fields in heavy-ion collisions, Mod. Phys. Lett. A 35 (2020) 2050324 [arXiv:2009.09727] [INSPIRE].
R. Emparan and H.S. Reall, Black Holes in Higher Dimensions, Living Rev. Rel. 11 (2008) 6 [arXiv:0801.3471] [INSPIRE].
L. Di Menza and J.-P. Nicolas, Superradiance on the Reissner-Nordstrøm metric, Class. Quant. Grav. 32 (2015) 145013 [arXiv:1411.3988] [INSPIRE].
V. Balakumar, R.P. Bernar, L.C.B. Crispino and E. Winstanley, Quantum superradiance on static black hole space-times, Phys. Lett. B 811 (2020) 135904 [arXiv:2010.01630] [INSPIRE].
C.P. Herzog, P. Kovtun, S. Sachdev and D.T. Son, Quantum critical transport, duality, and M-theory, Phys. Rev. D 75 (2007) 085020 [hep-th/0701036] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2011.07700
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
McInnes, B. About magnetic AdS black holes. J. High Energ. Phys. 2021, 68 (2021). https://doi.org/10.1007/JHEP03(2021)068
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2021)068