Abstract
We present a systematic study of the moduli space of asymptotically flat, supersymmetric and biaxisymmetric black hole solutions to five-dimensional minimal supergravity. Previously, it has been shown that such solutions must be multi-centred solutions with a Gibbons-Hawking base. In this paper we perform a full analysis of three-centred solutions with a single black hole, for which there are seven regular black hole solutions. We find that four of these can have the same conserved charges as the BMPV black hole. These consist of a black lens with L(3, 1) horizon topology and three distinct families of spherical black holes with nontrivial topology outside the horizon. The former provides the first example of a nonspherical black hole with the same conserved charges as the BMPV black hole. Moreover, of these four solutions, three can have a greater entropy than the BMPV black hole near the BMPV upper spin bound. One of these is a previously known spherical black hole with nontrivial topology and the other two are new examples of a spherical black hole with nontrivial topology and an L(3, 1) black lens.
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References
R. Emparan and H.S. Reall, A rotating black ring solution in five-dimensions, Phys. Rev. Lett. 88 (2002) 101101 [hep-th/0110260] [INSPIRE].
R.C. Myers and M.J. Perry, Black holes in higher dimensional space-times, Annals Phys. 172 (1986) 304 [INSPIRE].
R. Emparan and H.S. Reall, Black holes in higher dimensions, Living Rev. Rel. 11 (2008) 6 [arXiv:0801.3471] [INSPIRE].
S. Hollands and A. Ishibashi, Black hole uniqueness theorems in higher dimensional spacetimes, Class. Quant. Grav. 29 (2012) 163001 [arXiv:1206.1164] [INSPIRE].
H. Elvang, R. Emparan, D. Mateos and H.S. Reall, Supersymmetric black rings and three-charge supertubes, Phys. Rev. D 71 (2005) 024033 [hep-th/0408120] [INSPIRE].
J.C. Breckenridge, R.C. Myers, A.W. Peet and C. Vafa, D-branes and spinning black holes, Phys. Lett. B 391 (1997) 93 [hep-th/9602065] [INSPIRE].
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].
H.K. Kunduri and J. Lucietti, Black hole non-uniqueness via spacetime topology in five dimensions, JHEP 10 (2014) 082 [arXiv:1407.8002] [INSPIRE].
G.T. Horowitz, H.K. Kunduri and J. Lucietti, Comments on black holes in bubbling spacetimes, JHEP 06 (2017) 048 [arXiv:1704.04071] [INSPIRE].
J.P. Gauntlett and J.B. Gutowski, General concentric black rings, Phys. Rev. D 71 (2005) 045002 [hep-th/0408122] [INSPIRE].
P.M. Crichigno, F. Porri and S. Vandoren, Bound states of spinning black holes in five dimensions, JHEP 05 (2017) 101 [arXiv:1603.09729] [INSPIRE].
I. Bena et al., Moulting black holes, JHEP 03 (2012) 094 [arXiv:1108.0411] [INSPIRE].
I. Bena and N.P. Warner, Bubbling supertubes and foaming black holes, Phys. Rev. D 74 (2006) 066001 [hep-th/0505166] [INSPIRE].
H.K. Kunduri and J. Lucietti, Supersymmetric black holes with Lens-Space topology, Phys. Rev. Lett. 113 (2014) 211101 [arXiv:1408.6083] [INSPIRE].
H.K. Kunduri and J. Lucietti, Black lenses in string theory, Phys. Rev. D 94 (2016) 064007 [arXiv:1605.01545] [INSPIRE].
S. Tomizawa and M. Nozawa, Supersymmetric black lenses in five dimensions, Phys. Rev. D 94 (2016) 044037 [arXiv:1606.06643] [INSPIRE].
V. Breunhölder and J. Lucietti, Moduli space of supersymmetric solitons and black holes in five dimensions, Commun. Math. Phys. 365 (2019) 471 [arXiv:1712.07092] [INSPIRE].
H. Elvang, R. Emparan, D. Mateos and H.S. Reall, A supersymmetric black ring, Phys. Rev. Lett. 93 (2004) 211302 [hep-th/0407065] [INSPIRE].
J.P. Gauntlett et al., All supersymmetric solutions of minimal supergravity in five-dimensions, Class. Quant. Grav. 20 (2003) 4587 [hep-th/0209114] [INSPIRE].
H.S. Reall, Higher dimensional black holes and supersymmetry, Phys. Rev. D 68 (2003) 024024 [Erratum ibid. D 70 (2004) 089902] [hep-th/0211290] [INSPIRE].
J. Avila, P.F. Ramirez and A. Ruiperez, One thousand and one bubbles, JHEP 01 (2018) 041 [arXiv:1709.03985] [INSPIRE].
H.K. Kunduri and J. Lucietti, The first law of soliton and black hole mechanics in five dimensions, Class. Quant. Grav. 31 (2014) 032001 [arXiv:1310.4810] [INSPIRE].
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ArXiv ePrint: 1812.07329
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Breunhölder, V., Lucietti, J. Supersymmetric black hole non-uniqueness in five dimensions. J. High Energ. Phys. 2019, 105 (2019). https://doi.org/10.1007/JHEP03(2019)105
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DOI: https://doi.org/10.1007/JHEP03(2019)105