Abstract
By utilizing the ultraspinning limit we generate a new class of extremal vanishing horizon (EVH) black holes in odd dimensions (d ≥ 5). Starting from the general multi-spinning Kerr-AdS metrics, we show the EVH limit commutes with the ultraspinning limit,in which the resulting solutions possess a non-compact but finite area manifold for all (t, r ≠ r+) = const. slices. We also demonstrate the near horizon geometries of obtained ultraspinning EVH solutions contain an AdS3 throats, where it would be a BTZ black hole in the near EVH cases. The commutativity of the ultraspinning and near horizon limits for EVH solutions is confirmed as well. Furthermore, we discuss only five-dimensional case near the EVH point can be viewed as a super-entropic black hole. We also show that the thermodynamics of the obtained solutions agree with the BTZ black hole. Moreover we investigate the EVH/CFT proposal, demonstrating the entropy of 2d dual CFT and Bekenstein-Hawking entropy are equivalent.
Article PDF
Similar content being viewed by others
References
R.C. Myers and M.J. Perry, Black Holes in Higher Dimensional Space-Times, Annals Phys. 172 (1986) 304 [INSPIRE].
B. Carter, Hamilton-Jacobi and Schrödinger separable solutions of Einstein’s equations, Commun. Math. Phys. 10 (1968) 280 [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].
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].
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].
R. Emparan and R.C. Myers, Instability of ultra-spinning black holes, JHEP 09 (2003) 025 [hep-th/0308056] [INSPIRE].
M.M. Caldarelli, R. Emparan and M.J. Rodriguez, Black Rings in (Anti)-deSitter space, JHEP 11 (2008) 011 [arXiv:0806.1954] [INSPIRE].
M.M. Caldarelli, R.G. Leigh, A.C. Petkou, P.M. Petropoulos, V. Pozzoli and K. Siampos, Vorticity in holographic fluids, PoS(CORFU2011)076 [arXiv:1206.4351] [INSPIRE].
J. Armas and N.A. Obers, Blackfolds in (Anti)-de Sitter Backgrounds, Phys. Rev. D 83 (2011) 084039 [arXiv:1012.5081] [INSPIRE].
R.A. Hennigar, D. Kubizňák and R.B. Mann, Entropy Inequality Violations from Ultraspinning Black Holes, Phys. Rev. Lett. 115 (2015) 031101 [arXiv:1411.4309] [INSPIRE].
D. Klemm, Four-dimensional black holes with unusual horizons, Phys. Rev. D 89 (2014) 084007 [arXiv:1401.3107] [INSPIRE].
R.A. Hennigar, D. Kubizňák, R.B. Mann and N. Musoke, Ultraspinning limits and super-entropic black holes, JHEP 06 (2015) 096 [arXiv:1504.07529] [INSPIRE].
S.M. Noorbakhsh and M. Ghominejad, Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence, Phys. Rev. D 95 (2017) 046002 [arXiv:1611.02324] [INSPIRE].
S.M. Noorbakhsh and M. Ghominejad, Higher Dimensional Charged AdS Black Holes at Ultra-spinning Limit and Their 2d CFT Duals, arXiv:1702.03448 [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].
D. Astefanesei, K. Goldstein, R.P. Jena, A. Sen and S.P. Trivedi, Rotating attractors, JHEP 10 (2006) 058 [hep-th/0606244] [INSPIRE].
H.K. Kunduri, J. Lucietti and H.S. Reall, Near-horizon symmetries of extremal black holes, Class. Quant. Grav. 24 (2007) 4169 [arXiv:0705.4214] [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. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [INSPIRE].
T. Hartman, K. Murata, T. Nishioka and A. Strominger, CFT Duals for Extreme Black Holes, JHEP 04 (2009) 019 [arXiv:0811.4393] [INSPIRE].
B. Zhang, Q.-y. Cai and M.-s. Zhan, Hawking radiation as tunneling derived from Black Hole Thermodynamics through the quantum horizon, Phys. Lett. B 665 (2008) 260 [arXiv:0806.2015] [INSPIRE].
P. Figueras, H.K. Kunduri, J. Lucietti and M. Rangamani, Extremal vacuum black holes in higher dimensions, Phys. Rev. D 78 (2008) 044042 [arXiv:0803.2998] [INSPIRE].
H.K. Kunduri and J. Lucietti, Classification of near-horizon geometries of extremal black holes, Living Rev. Rel. 16 (2013) 8 [arXiv:1306.2517] [INSPIRE].
S. Hollands and A. Ishibashi, All vacuum near horizon geometries in arbitrary dimensions, Annales Henri Poincaré 10 (2010) 1537 [arXiv:0909.3462] [INSPIRE].
K. Hajian, A. Seraj and M.M. Sheikh-Jabbari, NHEG Mechanics: Laws of Near Horizon Extremal Geometry (Thermo)Dynamics, JHEP 03 (2014) 014 [arXiv:1310.3727] [INSPIRE].
K. Hajian, A. Seraj and M.M. Sheikh-Jabbari, Near Horizon Extremal Geometry Perturbations: Dynamical Field Perturbations vs. Parametric Variations, JHEP 10 (2014) 111 [arXiv:1407.1992] [INSPIRE].
J.M. Bardeen and G.T. Horowitz, The Extreme Kerr throat geometry: A Vacuum analog of AdS 2 × S 2, Phys. Rev. D 60 (1999) 104030 [hep-th/9905099] [INSPIRE].
R. Fareghbal, C.N. Gowdigere, A.E. Mosaffa and M.M. Sheikh-Jabbari, Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM, JHEP 08 (2008) 070 [arXiv:0801.4457] [INSPIRE].
R. Fareghbal, C.N. Gowdigere, A.E. Mosaffa and M.M. Sheikh-Jabbari, Nearing 11d Extremal Intersecting Giants and New Decoupled Sectors in D = 3,6 SCFT’s, Phys. Rev. D 81 (2010) 046005 [arXiv:0805.0203] [INSPIRE].
S.S. Gubser and F.D. Rocha, Peculiar properties of a charged dilatonic black hole in AdS 5, Phys. Rev. D 81 (2010) 046001 [arXiv:0911.2898] [INSPIRE].
T. Azeyanagi, N. Ogawa and S. Terashima, Emergent AdS 3 in the Zero Entropy Extremal Black Holes, JHEP 03 (2011) 004 [arXiv:1010.4291] [INSPIRE].
J. de Boer, M.M. Sheikh-Jabbari and J. Simon, Near Horizon Limits of Massless BTZ and Their CFT Duals, Class. Quant. Grav. 28 (2011) 175012 [arXiv:1011.1897] [INSPIRE].
J. de Boer, M. Johnstone, M.M. Sheikh-Jabbari and J. Simon, Emergent IR Dual 2d CFTs in Charged AdS5 Black Holes, Phys. Rev. D 85 (2012) 084039 [arXiv:1112.4664] [INSPIRE].
H. Yavartanoo, On EVH black hole solution in heterotic string theory, Nucl. Phys. B 863 (2012) 410 [arXiv:1212.3742] [INSPIRE].
H. Yavartanoo, Five-dimensional heterotic black holes and its dual IR-CFT, Eur. Phys. J. C 72 (2012) 2197 [arXiv:1212.4553] [INSPIRE].
M. Johnstone, M.M. Sheikh-Jabbari, J. Simon and H. Yavartanoo, Near-Extremal Vanishing Horizon AdS5 Black Holes and Their CFT Duals, JHEP 04 (2013) 045 [arXiv:1301.3387] [INSPIRE].
H. Yavartanoo, EVH black hole solutions with higher derivative corrections, Eur. Phys. J. C 72 (2012) 1911 [arXiv:1301.4174] [INSPIRE].
H. Golchin, M.M. Sheikh-Jabbari and A. Ghodsi, Dual 2d CFT Identification of Extremal Black Rings from Holes, JHEP 10 (2013) 194 [arXiv:1308.1478] [INSPIRE].
A. Ghodsi, H. Golchin and M.M. Sheikh-Jabbari, More on Five Dimensional EVH Black Rings, JHEP 09 (2014) 036 [arXiv:1407.7484] [INSPIRE].
S. Sadeghian and H. Yavartanoo, Black rings in U(1)3 supergravity and their dual 2d CFT, Class. Quant. Grav. 33 (2016) 095006 [arXiv:1510.01209] [INSPIRE].
S. Sadeghian and M.H. Vahidinia, AdS 3 to dS 3 transition in the near horizon of asymptotically de Sitter solutions, Phys. Rev. D 96 (2017) 044004 [arXiv:1703.01771] [INSPIRE].
M.M. Sheikh-Jabbari and H. Yavartanoo, EVH Black Holes, AdS3 Throats and EVH/CFT Proposal, JHEP 10 (2011) 013 [arXiv:1107.5705] [INSPIRE].
S. Sadeghian, M.M. Sheikh-Jabbari, M.H. Vahidinia and H. Yavartanoo, Near Horizon Structure of Extremal Vanishing Horizon Black Holes, Nucl. Phys. B 900 (2015) 222 [arXiv:1504.03607] [INSPIRE].
S. Sadeghian, M.M. Sheikh-Jabbari, M.H. Vahidinia and H. Yavartanoo, Three Theorems on Near Horizon Extremal Vanishing Horizon Geometries, Phys. Lett. B 753 (2016) 488 [arXiv:1512.06186] [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].
M. Sinamuli and R.B. Mann, Super-Entropic Black Holes and the Kerr-CFT Correspondence, JHEP 08 (2016) 148 [arXiv:1512.07597] [INSPIRE].
S. Sadeghian, M.M. Sheikh-Jabbari and H. Yavartanoo, On Classification of Geometries with SO(2, 2) Symmetry, JHEP 10 (2014) 81 [arXiv:1409.1635] [INSPIRE].
M. Johnstone, M.M. Sheikh-Jabbari, J. Simon and H. Yavartanoo, Extremal black holes and the first law of thermodynamics, Phys. Rev. D 88 (2013) 101503 [arXiv:1305.3157] [INSPIRE].
J.D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity, Commun. Math. Phys. 104 (1986) 207 [INSPIRE].
J.L. Cardy, Operator Content of Two-Dimensional Conformally Invariant Theories, Nucl. Phys. B 270 (1986) 186 [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].
J.M. Maldacena, J. Michelson and A. Strominger, Anti-de Sitter fragmentation, JHEP 02 (1999) 011 [hep-th/9812073] [INSPIRE].
T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces and AdS 2, Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].
R.A. Hennigar, D. Kubizňák, R.B. Mann and N. Musoke, Ultraspinning limits and rotating hyperboloid membranes, Nucl. Phys. B 903 (2016) 400 [arXiv:1512.02293] [INSPIRE].
C.V. Johnson, Holographic Heat Engines, Class. Quant. Grav. 31 (2014) 205002 [arXiv:1404.5982] [INSPIRE].
B.P. Dolan, Bose condensation and branes, JHEP 10 (2014) 179 [arXiv:1406.7267] [INSPIRE].
D. Kubiznak, R.B. Mann and M. Teo, Black hole chemistry: thermodynamics with Lambda, Class. Quant. Grav. 34 (2017) 063001 [arXiv:1608.06147] [INSPIRE].
J. Couch, W. Fischler and P.H. Nguyen, Noether charge, black hole volume and complexity, JHEP 03 (2017) 119 [arXiv:1610.02038] [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].
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: 1708.08654
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
Noorbakhsh, S., Vahidinia, M. Extremal vanishing horizon Kerr-AdS black holes at ultraspinning limit. J. High Energ. Phys. 2018, 42 (2018). https://doi.org/10.1007/JHEP01(2018)042
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP01(2018)042