Abstract
We present the general black ring solution in U(1)3 supergravity in 5 dimensions with three independent dipole and electric charges. This immediately gives the general black ring solution in the minimal 5D supergravity as well.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Emparan and H.S. Reall, Black rings, Class. Quant. Grav. 23 (2006) R169 [hep-th/0608012] [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].
H. Elvang, A charged rotating black ring, Phys. Rev. D 68 (2003) 124016 [hep-th/0305247] [INSPIRE].
H. Elvang and R.a. Emparan, Black rings, supertubes and a stringy resolution of black hole nonuniqueness, JHEP 11 (2003) 035 [hep-th/0310008] [INSPIRE].
R. Emparan, Rotating circular strings and infinite nonuniqueness of black rings, JHEP 03 (2004) 064 [hep-th/0402149] [INSPIRE].
H. Elvang, R. Emparan and P. Figueras, Non-supersymmetric black rings as thermally excited supertubes, JHEP 02 (2005) 031 [hep-th/0412130] [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].
I. Bena and N.P. Warner, One ring to rule them all . . . and in the darkness bind them?, Adv. Theor. Math. Phys. 9 (2005) 667 [hep-th/0408106] [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.P. Gauntlett and J.B. Gutowski, General concentric black rings, Phys. Rev. D 71 (2005) 045002 [hep-th/0408122] [INSPIRE].
Y. Chen, K. Hong and E. Teo, A doubly rotating black ring with dipole charge, JHEP 06 (2012) 148 [arXiv:1204.5785] [INSPIRE].
J.V. Rocha, M.J. Rodriguez and O. Varela, An electrically charged doubly spinning dipole black ring, JHEP 12 (2012) 121 [arXiv:1205.0527] [INSPIRE].
A. Feldman and A.A. Pomeransky, Charged black rings in supergravity with a single non-zero gauge field, JHEP 07 (2012) 141 [arXiv:1206.1026] [INSPIRE].
V.A. Belinsky and V.E. Zakharov, Integration of the Einstein equations by the inverse scattering problem technique and the calculation of the exact soliton solutions, Sov. Phys. JETP 48 (1978) 985 [INSPIRE].
V.A. Belinsky and V.E. Sakharov, Stationary gravitational solitons with axial symmetry, Sov. Phys. JETP 50 (1979) 1 [INSPIRE].
V. Belinski and E. Verdaguer, Gravitational solitons, Cambridge University Press, Cambridge U.K. (2005).
J.V. Rocha, M.J. Rodriguez and A. Virmani, Inverse scattering construction of a dipole black ring, JHEP 11 (2011) 008 [arXiv:1108.3527] [INSPIRE].
A.A. Pomeransky, Complete integrability of higher-dimensional Einstein equations with additional symmetry and rotating black holes, Phys. Rev. D 73 (2006) 044004 [hep-th/0507250] [INSPIRE].
A.A. Pomeransky and R.A. Sen’kov, Black ring with two angular momenta, hep-th/0612005 [INSPIRE].
T. Harmark, Stationary and axisymmetric solutions of higher-dimensional general relativity, Phys. Rev. D 70 (2004) 124002 [hep-th/0408141] [INSPIRE].
J. Hoskisson, A charged doubly spinning black ring, Phys. Rev. D 79 (2009) 104022 [arXiv:0808.3000] [INSPIRE].
D.V. Gal’tsov and N.G. Scherbluk, Three-charge doubly rotating black ring, Phys. Rev. D 81 (2010) 044028 [arXiv:0912.2771] [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].
R. Emparan and H.S. Reall, Black holes in higher dimensions, Living Rev. Rel. 11 (2008) 6 [arXiv:0801.3471] [INSPIRE].
M. Cvetič and D. Youm, General rotating five-dimensional black holes of toroidally compactified heterotic string, Nucl. Phys. B 476 (1996) 118 [hep-th/9603100] [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: 1406.4617v1
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
Feldman, A., Pomeransky, A.A. General triple charged black ring solution in supergravity. J. High Energ. Phys. 2014, 59 (2014). https://doi.org/10.1007/JHEP08(2014)059
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2014)059