Abstract
By employing the new ultraspinning limit we construct novel classes of black holes with non-compact event horizons and finite horizon area and study their thermo-dynamics. Our ultraspinning limit can be understood as a simple generating technique that consists of three steps: i) transforming the known rotating AdS black hole solution to a special coordinate system that rotates (in a given 2-plane) at infinity ii) boosting this rotation to the speed of light iii) compactifying the corresponding azimuthal direction. In so doing we qualitatively change the structure of the spacetime since it is no longer pos-sible to return to a frame that does not rotate at infinity. The obtained black holes have non-compact horizons with topology of a sphere with two punctures. The entropy of some of these exceeds the maximal bound implied by the reverse isoperimetric inequality, such black holes are super-entropic.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.W. Hawking, Black holes in general relativity, Commun. Math. Phys. 25 (1972) 152 [INSPIRE].
R. Emparan and H.S. Reall, A rotating black ring solution in five-dimensions, Phys. Rev. Lett. 88 (2002) 101101 [hep-th/0110260] [INSPIRE].
G.J. Galloway and R. Schoen, A generalization of Hawking’s black hole topology theorem to higher dimensions, Commun. Math. Phys. 266 (2006) 571 [gr-qc/0509107] [INSPIRE].
L. Vanzo, Black holes with unusual topology, Phys. Rev. D 56 (1997) 6475 [gr-qc/9705004] [INSPIRE].
R.B. Mann, Pair production of topological anti-de Sitter black holes, Class. Quant. Grav. 14 (1997) L109 [gr-qc/9607071] [INSPIRE].
J.P.S. Lemos, Cylindrical black hole in general relativity, Phys. Lett. B 353 (1995) 46 [gr-qc/9404041] [INSPIRE].
R.-G. Cai and Y.-Z. Zhang, Black plane solutions in four-dimensional space-times, Phys. Rev. D 54 (1996) 4891 [gr-qc/9609065] [INSPIRE].
R.B. Mann, Topological black holes: outside looking in, Annals Israel Phys. Soc. 13 (1997) 311 [gr-qc/9709039] [INSPIRE].
P. Figueras and S. Tunyasuvunakool, Black rings in global anti-de Sitter space, JHEP 03 (2015) 149 [arXiv:1412.5680] [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].
D. Birmingham, Topological black holes in anti-de Sitter space, Class. Quant. Grav. 16 (1999) 1197 [hep-th/9808032] [INSPIRE].
A. Gnecchi, K. Hristov, D. Klemm, C. Toldo and O. Vaughan, Rotating black holes in 4d gauged supergravity, JHEP 01 (2014) 127 [arXiv:1311.1795] [INSPIRE].
D. Klemm, Four-dimensional black holes with unusual horizons, Phys. Rev. D 89 (2014) 084007 [arXiv:1401.3107] [INSPIRE].
R.A. Hennigar, D. Kubiznak and R.B. Mann, Super-entropic black holes, arXiv:1411.4309 [INSPIRE].
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].
R. Emparan and R.C. Myers, Instability of ultra-spinning black holes, JHEP 09 (2003) 025 [hep-th/0308056] [INSPIRE].
R.C. Myers and M.J. Perry, Black holes in higher dimensional space-times, Annals Phys. 172 (1986) 304 [INSPIRE].
J. Armas and N.A. Obers, Blackfolds in (anti)-de Sitter backgrounds, Phys. Rev. D 83 (2011) 084039 [arXiv:1012.5081] [INSPIRE].
M.M. Caldarelli et al., Vorticity in holographic fluids, PoS(CORFU2011) 076 [arXiv:1206.4351] [INSPIRE].
N. Altamirano, D. Kubiznak, R.B. Mann and Z. Sherkatghanad, Thermodynamics of rotating black holes and black rings: phase transitions and thermodynamic volume, Galaxies 2 (2014) 89 [arXiv:1401.2586] [INSPIRE].
M. Cvetič, G.W. Gibbons, D. Kubiznak and C.N. Pope, Black hole enthalpy and an entropy inequality for the thermodynamic volume, Phys. Rev. D 84 (2011) 024037 [arXiv:1012.2888] [INSPIRE].
B. Carter, Hamilton-Jacobi and Schrödinger separable solutions of Einstein’s equations, Commun. Math. Phys. 10 (1968) 280 [INSPIRE].
D. Klemm, Rotating black branes wrapped on Einstein spaces, JHEP 11 (1998) 019 [hep-th/9811126] [INSPIRE].
S.W. Hawking, C.J. Hunter and M. Taylor, Rotation and the AdS/CFT correspondence, Phys. Rev. D 59 (1999) 064005 [hep-th/9811056] [INSPIRE].
B. Carter, Global structure of the Kerr family of gravitational fields, Phys. Rev. 174 (1968) 1559 [INSPIRE].
E. Hackmann, C. Lammerzahl, V. Kagramanova and J. Kunz, Analytical solution of the geodesic equation in Kerr-(anti-) de Sitter space-times, Phys. Rev. D 81 (2010) 044020 [arXiv:1009.6117] [INSPIRE].
D. Kastor, S. Ray and J. Traschen, Enthalpy and the mechanics of AdS black holes, Class. Quant. Grav. 26 (2009) 195011 [arXiv:0904.2765] [INSPIRE].
V.P. Frolov and D. Kubiznak, Higher-dimensional black holes: hidden symmetries and separation of variables, Class. Quant. Grav. 25 (2008) 154005 [arXiv:0802.0322] [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].
A. Ashtekar and A. Magnon, Asymptotically anti-de Sitter space-times, Class. Quant. Grav. 1 (1984) L39 [INSPIRE].
A. Ashtekar and S. Das, Asymptotically anti-de Sitter space-times: conserved quantities, Class. Quant. Grav. 17 (2000) L17 [hep-th/9911230] [INSPIRE].
S. Das and R.B. Mann, Conserved quantities in Kerr-anti-de Sitter space-times in various dimensions, JHEP 08 (2000) 033 [hep-th/0008028] [INSPIRE].
G.W. Gibbons, H. Lü, D.N. Page and C.N. Pope, Rotating black holes in higher dimensions with a cosmological constant, Phys. Rev. Lett. 93 (2004) 171102 [hep-th/0409155] [INSPIRE].
G.W. Gibbons, H. Lü, D.N. Page and C.N. Pope, The general Kerr-de Sitter metrics in all dimensions, J. Geom. Phys. 53 (2005) 49 [hep-th/0404008] [INSPIRE].
R.C. Myers and M.J. Perry, Black holes in higher dimensional space-times, Annals Phys. 172 (1986) 304 [INSPIRE].
W. Chen, H. Lü and C.N. Pope, General Kerr-NUT-AdS metrics in all dimensions, Class. Quant. Grav. 23 (2006) 5323 [hep-th/0604125] [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].
D. Kubizňák and V.P. Frolov, Hidden symmetry of higher dimensional Kerr-NUT-AdS spacetimes, Class. Quant. Grav. 24 (2007) F1 [gr-qc/0610144] [INSPIRE].
D. Kubizňák, Hidden symmetries of higher-dimensional rotating black holes, arXiv:0809.2452 [INSPIRE].
R. Emparan, T. Harmark, V. Niarchos and N.A. Obers, New horizons for black holes and branes, JHEP 04 (2010) 046 [arXiv:0912.2352] [INSPIRE].
J. Armas and M. Blau, New geometries for black hole horizons, arXiv:1504.01393 [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1504.07529
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hennigar, R.A., Kubizňák, D., Mann, R.B. et al. Ultraspinning limits and super-entropic black holes. J. High Energ. Phys. 2015, 96 (2015). https://doi.org/10.1007/JHEP06(2015)096
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2015)096