Abstract
We construct a new class of black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. These configurations are cohomogeneity-1, with two equal-magnitude angular momenta. In the generic case, they possess a non-vanishing magnetic potential at infinity with a boundary metric which is the product of time and a squashed three-dimensional sphere. Both extremal and non-extremal black holes are studied. The non-extremal black holes satisfying a certain relation between electric charge, angular momenta and magnitude of the magnetic potential at infinity do not trivialize in the limit of vanishing event horizon size, becoming particle-like (non-topological) solitonic configurations. Among the extremal black holes, we show the existence of a new one-parameter family of supersymmetric solutions, which bifurcate from a critical Gutowski-Reall configuration.
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References
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [hep-th/9711200] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
J.P. Gauntlett, E. O Colgain and O. Varela, Properties of some conformal field theories with M-theory duals, JHEP 02 (2007) 049 [hep-th/0611219] [INSPIRE].
Z.W. Chong, M. Cvetič, H. Lü and C.N. Pope, General non-extremal rotating black holes in minimal five-dimensional gauged supergravity, Phys. Rev. Lett. 95 (2005) 161301 [hep-th/0506029] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Charged Kerr-de Sitter black holes in five dimensions, Phys. Lett. B 598 (2004) 273 [hep-th/0406196] [INSPIRE].
Z.W. Chong, M. Cvetič, H. Lü and C.N. Pope, Non-extremal rotating black holes in five-dimensional gauged supergravity, Phys. Lett. B 644 (2007) 192 [hep-th/0606213] [INSPIRE].
Z.W. Chong, M. Cvetič, H. Lü and C.N. Pope, Five-dimensional gauged supergravity black holes with independent rotation parameters, Phys. Rev. D 72 (2005) 041901 [hep-th/0505112] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Charged rotating black holes in five dimensional U(1)3 gauged N = 2 supergravity, Phys. Rev. D 70 (2004) 081502 [hep-th/0407058] [INSPIRE].
J.B. Gutowski and H.S. Reall, Supersymmetric AdS 5 black holes, JHEP 02 (2004) 006 [hep-th/0401042] [INSPIRE].
J.L. Blázquez-Salcedo, J. Kunz, F. Navarro-Lérida and E. Radu, AdS 5 magnetized solutions in minimal gauged supergravity, Phys. Lett. B 771 (2017) 52 [arXiv:1703.04163] [INSPIRE].
E. D’Hoker and P. Kraus, Charged magnetic brane solutions in AdS 5 and the fate of the third law of thermodynamics, JHEP 03 (2010) 095 [arXiv:0911.4518] [INSPIRE].
E. D’Hoker and P. Kraus, Magnetic brane solutions in AdS, JHEP 10 (2009) 088 [arXiv:0908.3875] [INSPIRE].
E. D’Hoker and P. Kraus, Magnetic field induced quantum criticality via new asymptotically AdS 5 solutions, Class. Quant. Grav. 27 (2010) 215022 [arXiv:1006.2573] [INSPIRE].
K. Copsey and G.T. Horowitz, Gravity dual of gauge theory on S 2 × S 1 × R, JHEP 06 (2006) 021 [hep-th/0602003] [INSPIRE].
M.M. Caldarelli, R. Emparan and M.J. Rodriguez, Black rings in (anti)-de Sitter space, JHEP 11 (2008) 011 [arXiv:0806.1954] [INSPIRE].
P. Figueras and S. Tunyasuvunakool, Black rings in global anti-de Sitter space, JHEP 03 (2015) 149 [arXiv:1412.5680] [INSPIRE].
R.B. Mann, E. Radu and C. Stelea, Black string solutions with negative cosmological constant, JHEP 09 (2006) 073 [hep-th/0604205] [INSPIRE].
D. Cassani and D. Martelli, The gravity dual of supersymmetric gauge theories on a squashed S 1 × S 3, JHEP 08 (2014) 044 [arXiv:1402.2278] [INSPIRE].
J.L. Blázquez-Salcedo, J. Kunz, F. Navarro-Lérida and E. Radu, New black holes in D = 5 minimal gauged supergravity: deformed boundaries and ‘frozen’ horizons, arXiv:1711.08292 [INSPIRE].
J.L. Blázquez-Salcedo, J. Kunz, F. Navarro-Lérida and E. Radu, Charged rotating black holes in Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant, Phys. Rev. D 95 (2017) 064018 [arXiv:1610.05282] [INSPIRE].
P.G. Nedkova and S.S. Yazadjiev, Magnetized black hole on Taub-NUT instanton, Phys. Rev. D 85 (2012) 064021 [arXiv:1112.3326] [INSPIRE].
P.G. Nedkova and S.S. Yazadjiev, New magnetized squashed black holes — thermodynamics and Hawking radiation, Eur. Phys. J. C 73 (2013) 2377 [arXiv:1211.5249] [INSPIRE].
M. Cvetič, G.W. Gibbons, H. Lü and C.N. Pope, Rotating black holes in gauged supergravities: thermodynamics, supersymmetric limits, topological solitons and time machines, hep-th/0504080 [INSPIRE].
B. Sahoo and H.-U. Yee, Electrified plasma in AdS/CFT correspondence, JHEP 11 (2010) 095 [arXiv:1004.3541] [INSPIRE].
C. Fefferman and R. Graham, Conformal invariants, in Élie Cartan et les mathématiques d’aujourd’hui, Astérisque, France, (1985), pg. 95.
A. Bernamonti, M.M. Caldarelli, D. Klemm, R. Olea, C. Sieg and E. Zorzan, Black strings in AdS 5, JHEP 01 (2008) 061 [arXiv:0708.2402] [INSPIRE].
P. Benetti Genolini, D. Cassani, D. Martelli and J. Sparks, Holographic renormalization and supersymmetry, JHEP 02 (2017) 132 [arXiv:1612.06761] [INSPIRE].
V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [INSPIRE].
K. Skenderis, Asymptotically anti-de Sitter space-times and their stress energy tensor, Int. J. Mod. Phys. A 16 (2001) 740 [hep-th/0010138] [INSPIRE].
M. Henningson and K. Skenderis, The holographic Weyl anomaly, JHEP 07 (1998) 023 [hep-th/9806087] [INSPIRE].
M. Henningson and K. Skenderis, Holography and the Weyl anomaly, Fortsch. Phys. 48 (2000) 125 [hep-th/9812032] [INSPIRE].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE].
M. Taylor, More on counterterms in the gravitational action and anomalies, hep-th/0002125 [INSPIRE].
J.L. Blázquez-Salcedo, J. Kunz, F. Navarro-Lérida and E. Radu, Radially excited rotating black holes in Einstein-Maxwell-Chern-Simons theory, Phys. Rev. D 92 (2015) 044025 [arXiv:1506.07802] [INSPIRE].
J. Kunz, F. Navarro-Lérida and J. Viebahn, Charged rotating black holes in odd dimensions, Phys. Lett. B 639 (2006) 362 [hep-th/0605075] [INSPIRE].
J. Kunz and F. Navarro-Lérida, Negative horizon mass for rotating black holes, Phys. Lett. B 643 (2006) 55 [hep-th/0610036] [INSPIRE].
J. Kunz, F. Navarro-Lérida and E. Radu, Higher dimensional rotating black holes in Einstein-Maxwell theory with negative cosmological constant, Phys. Lett. B 649 (2007) 463 [gr-qc/0702086] [INSPIRE].
U. Ascher, J. Christiansen and R.D. Russell, A collocation solver for mixed order systems of boundary value problems, Math. Comput. 33 (1979) 659 [INSPIRE].
U. Ascher, J. Christiansen and R.D. Russell, Collocation software for boundary-value ODEs, ACM Trans. Math. Software 7 (1981) 209.
H. Ishihara and K. Matsuno, Kaluza-Klein black holes with squashed horizons, Prog. Theor. Phys. 116 (2006) 417 [hep-th/0510094] [INSPIRE].
Y. Brihaye, J. Kunz and E. Radu, From black strings to black holes: nuttier and squashed AdS 5 solutions, JHEP 08 (2009) 025 [arXiv:0904.1566] [INSPIRE].
K. Murata, T. Nishioka and N. Tanahashi, Warped AdS 5 black holes and dual CFTs, Prog. Theor. Phys. 121 (2009) 941 [arXiv:0901.2574] [INSPIRE].
R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052] [INSPIRE].
Y. Brihaye, T. Delsate and E. Radu, On the stability of AdS black strings, Phys. Lett. B 662 (2008) 264 [arXiv:0710.4034] [INSPIRE].
M.M. Som and A.K. Raychaudhuri, Cylindrically symmetric charged dust distributions in rigid rotation in general relativity, Proc. Roy. Soc. Lond. A 304 (1968) 81.
D. Cassani and D. Martelli, Supersymmetry on curved spaces and superconformal anomalies, JHEP 10 (2013) 025 [arXiv:1307.6567] [INSPIRE].
C. Herdeiro and E. Radu, Anti-de-Sitter regular electric multipoles: towards Einstein-Maxwell-AdS solitons, Phys. Lett. B 749 (2015) 393 [arXiv:1507.04370] [INSPIRE].
C. Herdeiro and E. Radu, Einstein-Maxwell-anti-de-Sitter spinning solitons, Phys. Lett. B 757 (2016) 268 [arXiv:1602.06990] [INSPIRE].
C.A. Herdeiro and E. Radu, Static Einstein-Maxwell black holes with no spatial isometries in AdS space, Phys. Rev. Lett. 117 (2016) 221102 [arXiv:1606.02302] [INSPIRE].
J.L. Blázquez-Salcedo, J. Kunz, F. Navarro-Lérida and E. Radu, Static Einstein-Maxwell magnetic solitons and black holes in an odd dimensional AdS spacetime, Entropy 18 (2016) 438 [arXiv:1612.03747] [INSPIRE].
P. Chrusciel and E. Delay, Non-singular space-times with a negative cosmological constant: II. Static solutions of the Einstein-Maxwell equations, Lett. Math. Phys. 107 (2017) 1391 [arXiv:1612.00281] [INSPIRE].
P.T. Chrusciel, E. Delay and P. Klinger, Nonsingular spacetimes with a negative cosmological constant: stationary solutions with matter fields, Phys. Rev. D 95 (2017) 104039 [arXiv:1701.03718] [INSPIRE].
A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Large-N phases, gravitational instantons and the nuts and bolts of AdS holography, Phys. Rev. D 59 (1999) 064010 [hep-th/9808177] [INSPIRE].
R. Emparan, C.V. Johnson and R.C. Myers, Surface terms as counterterms in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 104001 [hep-th/9903238] [INSPIRE].
R. Clarkson, L. Fatibene and R.B. Mann, Thermodynamics of (d + 1)-dimensional NUT charged AdS space-times, Nucl. Phys. B 652 (2003) 348 [hep-th/0210280] [INSPIRE].
D. Astefanesei, R.B. Mann and E. Radu, Nut charged space-times and closed timelike curves on the boundary, JHEP 01 (2005) 049 [hep-th/0407110] [INSPIRE].
D. Astefanesei, R.B. Mann and E. Radu, Breakdown of the entropy/area relationship for NUT-charged spacetimes, Phys. Lett. B 620 (2005) 1 [hep-th/0406050] [INSPIRE].
M.D. Yonge, AdS Taub-NUT space and the O(N ) vector model on a squashed 3-sphere, JHEP 07 (2007) 004 [hep-th/0611154] [INSPIRE].
J.P. Gauntlett and J.B. Gutowski, All supersymmetric solutions of minimal gauged supergravity in five-dimensions, Phys. Rev. D 68 (2003) 105009 [Erratum ibid. D 70 (2004) 089901] [hep-th/0304064] [INSPIRE].
K. Behrndt and D. Klemm, Black holes in Gödel type universes with a cosmological constant, Class. Quant. Grav. 21 (2004) 4107 [hep-th/0401239] [INSPIRE].
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Blázquez-Salcedo, J.L., Kunz, J., Navarro-Lérida, F. et al. Squashed, magnetized black holes in D = 5 minimal gauged supergravity. J. High Energ. Phys. 2018, 61 (2018). https://doi.org/10.1007/JHEP02(2018)061
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DOI: https://doi.org/10.1007/JHEP02(2018)061