×

Charged configurations in (A)dS spaces. (English) Zbl 1036.83024

Summary: We construct new backgrounds of \(d\)-dimensional gravity with a negative cosmological constant coupled to a \(m\)-form field strength. We find a class of magnetically charged anti-de Sitter black holes with \(m\)-dimensional Einstein horizon of positive, zero or negative curvature. We also construct a new magnetic co-dimension four brane for the case of \(m=3\). This brane obeys a charge quantization condition of the form \(q\sim L^2\) where \(q\) is the magnetic 3-form charge and \(L\) is the AdS radius. In addition, we work out some time-dependent solutions.

MSC:

83E30 String and superstring theories in gravitational theory
83C15 Exact solutions to problems in general relativity and gravitational theory
81T20 Quantum field theory on curved space or space-time backgrounds
83C57 Black holes
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory

References:

[1] Aharony, O.; Gubser, S. S.; Maldacena, J. M.; Ooguri, H.; Oz, Y., Large \(N\) field theories, string theory and gravity, Phys. Rep., 323, 183 (2000) · Zbl 1368.81009
[2] Behrndt, K.; Chamseddine, A. H.; Sabra, W. A., BPS black holes in \(N=2\) five-dimensional AdS supergravity, Phys. Lett. B, 442, 97 (1998) · Zbl 1002.83517
[3] Klemm, D., BPS black holes in gauged \(N=4, D=4\) supergravity, Nucl. Phys. B, 545, 461 (1999) · Zbl 0953.83019
[4] Duff, M. J.; Liu, J. T., Anti-de Sitter black holes in gauged \(N=8\) supergravity, Nucl. Phys. B, 554, 237 (1999) · Zbl 0951.83060
[5] Sabra, W. A., Anti-de Sitter BPS black holes in \(N=2\) gauged supergravity, Phys. Lett. B, 458, 36 (1999) · Zbl 0992.83040
[6] Liu, J. T.; Minasian, R., Black holes and membranes in \(AdS_7\), Phys. Lett. B, 457, 39 (1999) · Zbl 0992.83075
[7] Chamseddine, A. H.; Sabra, W. A., Magnetic and dyonic black holes in \(D=4\) gauged supergravity, Phys. Lett. B, 485, 301 (2000) · Zbl 0961.83065
[8] Liu, J. T.; Sabra, W. A., Multi-centered black holes in gauged \(D=5\) supergravity, Phys. Lett. B, 498, 123 (2001) · Zbl 0972.83082
[9] Klemm, D.; Sabra, W. A., Charged rotating black holes in 5d Einstein-Maxwell-(A)dS gravity, Phys. Lett. B, 503, 147 (2001) · Zbl 0977.83040
[10] Klemm, D.; Sabra, W. A., General (anti-)de Sitter black holes in five dimensions, JHEP, 0102, 031 (2001)
[11] Caldarelli, M. M.; Klemm, D.; Sabra, W. A., Causality violation and naked time machines in \(AdS_5\), JHEP, 0105, 014 (2001)
[12] Caldarelli, M. M.; Klemm, D., Supersymmetry of anti-de Sitter black holes, Nucl. Phys. B, 545, 434 (1999) · Zbl 0953.83020
[13] Behrndt, K.; Cvetič, M.; Sabra, W. A., Non-extreme black holes of five-dimensional \(N=2\) AdS supergravity, Nucl. Phys. B, 553, 317 (1999) · Zbl 0949.83072
[14] Behrndt, K.; Cvetič, M., Supersymmetric domain wall world from \(D=5\) simple gauged supergravity, Phys. Lett. B, 475, 253 (2000) · Zbl 0961.83064
[15] Behrndt, K.; Herrmann, C.; Louis, J.; Thomas, S., Domain walls in five-dimensional supergravity with non-trivial hypermultiplets, JHEP, 0101, 011 (2001)
[16] Ceresole, A.; Dall’Agata, G.; Kallosh, R.; Van Proeyen, A., Hypermultiplets, domain walls and supersymmetric attractors, Phys. Rev. D, 64, 104006 (2001)
[17] Chamseddine, A. H.; Sabra, W. A., Curved domain walls of five-dimensional gauged supergravity, Nucl. Phys. B, 630, 326 (2002) · Zbl 0994.83061
[18] Chamseddine, A. H.; Sabra, W. A., Phys. Lett. B, 537, 353 (2002), Erratum · Zbl 0994.83061
[19] Behrndt, K.; Dall’Agata, G., Vacua of \(N=2\) gauged supergravity derived from non-homogenous quaternionic spaces, Nucl. Phys. B, 627, 357 (2002) · Zbl 0991.83052
[20] Cardoso, G. L.; Dall’Agata, G.; Lüst, D., Curved BPS domain wall solutions in five-dimensional gauged supergravity, JHEP, 0107, 026 (2001)
[21] Cardoso, G. L.; Dall’Agata, G.; Lüst, D., Curved BPS domain walls and RG flow in five dimensions, JHEP, 0203, 044 (2002)
[22] Anguelova, L.; Lazaroiu, C. I., Domain walls of \(N=2\) supergravity in five dimensions from hypermultiplet moduli spaces, JHEP, 0209, 053 (2002)
[23] Cacciatori, S. L.; Klemm, D.; Sabra, W. A., Supersymmetric domain walls and strings in \(D=5\) gauged supergravity coupled to vector multiplets, JHEP, 0303, 023 (2003)
[24] de Boer, J.; Verlinde, E.; Verlinde, H., On the holographic renormalization group, JHEP, 0008, 003 (2000) · Zbl 0989.81538
[25] Chamseddine, A. H.; Sabra, W. A., Magnetic strings in five-dimensional gauged supergravity theories, Phys. Lett. B, 477, 329 (2000) · Zbl 0960.83037
[26] Klemm, D.; Sabra, W. A., Supersymmetry of black strings in \(D=5\) gauged supergravities, Phys. Rev. D, 62, 024003 (2000)
[27] Maldacena, J. M.; Nuñez, C., Supergravity description of field theories on curved manifolds and a no go theorem, Int. J. Mod. Phys. A, 16, 822 (2001) · Zbl 0984.83052
[28] Acharya, B. S.; Gauntlett, J. P.; Kim, N., Fivebranes wrapped on associative three-cycles, Phys. Rev. D, 63, 106003 (2001)
[29] Gauntlett, J. P.; Kim, N.; Waldram, D., M-fivebranes wrapped on supersymmetric cycles, Phys. Rev. D, 63, 126001 (2001)
[30] Gauntlett, J. P.; Kim, N., M-fivebranes wrapped on supersymmetric cycles. II, Phys. Rev. D, 65, 086003 (2002)
[31] Gauntlett, J. P.; Kim, N.; Pakis, S.; Waldram, D., Membranes wrapped on holomorphic curves, Phys. Rev. D, 65, 026003 (2002)
[32] Romans, L. J., Supersymmetric, cold and lukewarm black holes in cosmological Einstein-Maxwell theory, Nucl. Phys. B, 383, 395 (1992)
[33] Sabra, W. A., Magnetic branes in \(d\)-dimensional AdS Einstein-Maxwell gravity, Phys. Lett. B, 545, 175 (2002) · Zbl 0998.83051
[34] Sabra, W. A., Curved branes in AdS Einstein-Maxwell gravity and Killing spinors, Phys. Lett. B, 552, 247 (2003) · Zbl 1006.83066
[35] Birmingham, D., Topological black holes in anti-de Sitter space, Class. Quantum Grav., 16, 1197 (1999) · Zbl 0933.83025
[36] Townsend, P. K.; Pilch, K.; van Nieuwenhuizen, P., Phys. Lett., 137, 443 (1984), Addendum
[37] Gunaydin, M.; Romans, L. J.; Warner, N. P., Gauged \(N=8\) supergravity in five dimensions, Phys. Lett. B, 154, 268 (1985)
[38] Pernici, M.; Pilch, K.; van Nieuwenhuizen, P., Gauged \(N=8 D=5\) supergravity, Nucl. Phys. B, 259, 460 (1985)
[39] Romans, L. J., Gauged \(N=4\) supergravities in five dimensions and their magnetovac backgrounds, Nucl. Phys. B, 267, 433 (1986)
[40] L \(u"̈\), H.; Pope, C. N.; Vázquez-Poritz, J. F., From AdS black holes to supersymmetric flux-branes · Zbl 1160.83356
[41] Lü, H.; Vázquez-Poritz, J. F., From de Sitter to de Sitter · Zbl 1097.83540
[42] Liu, J. T.; Sabra, W. A.; Wen, W. Y., Consistent reductions of IIB∗/M∗ theory and de Sitter supergravity · Zbl 1243.81164
[43] Lü, H.; Pope, C. N., Branes on the brane, Nucl. Phys. B, 598, 492 (2001) · Zbl 0986.83043
[44] Cveti \(c"̌\), M.; Lü, H.; Pope, C. N., Brane-world Kaluza-Klein reductions and branes on the brane, J. Math. Phys., 42, 3048 (2001) · Zbl 1009.83045
[45] Ferrara, S.; Porrati, M., Observations on the holographic duals of 4D extremal black holes, Phys. Lett. B, 545, 384 (2002) · Zbl 0998.83057
[46] Liu, J. T.; Wen, W. Y., Exact multi-membrane solutions in \(AdS_7\), Phys. Lett. B, 525, 157 (2002) · Zbl 0981.83058
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.