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Diffusion constant and shear viscosity in the charged 3D hairy black hole. (English) Zbl 1298.83090

Summary: A charged hairy black hole in 3 dimensions considered to study hydrodynamics. Specially, we calculate diffusion constant and obtain the effect of black hole electric charge and scalar charge on it. This parameter help us to obtain information about black hole and will be useful to study shear viscosity of dual picture by using AdS/CFT.

MSC:

83C57 Black holes
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
Full Text: DOI

References:

[1] Xu, W., Zhao, L.: Charged black hole with a scalar hair in (2+1) dimensions. Phys. Rev. D 87, 124008 (2013) · doi:10.1103/PhysRevD.87.124008
[2] Zhao, L., Xu, W., Zhu, B.: Novel rotating hairy black hole in (2+1)-dimensions. arXiv:1305.6001 [gr-qc] · Zbl 1288.83031
[3] Hortacsu, M., Ozcelik, H.T., Yapiskan, B.: Properties of solutions in 2+1 dimensions. Gen. Relativ. Gravit. 35, 1209 (2003) · Zbl 1026.83044 · doi:10.1023/A:1024445724029
[4] Henneaux, M., Martinez, C., Troncoso, R., Zanelli, J.: Black holes and asymptotics of 2+1 gravity coupled to a scalar field. Phys. Rev. D 65, 104007 (2002) · doi:10.1103/PhysRevD.65.104007
[5] Hasanpour, M., Loran, F., Razaghian, H.: Gravity/CFT correspondence for three dimensional Einstein gravity with a conformal scalar field. Nucl. Phys. B 867, 483 (2013) · Zbl 1262.83010 · doi:10.1016/j.nuclphysb.2012.10.002
[6] Zeng, D.F.: An exact hairy black hole solution for AdS/CFT superconductors. arXiv:0903.2620 [hep-th]
[7] Chen, B., Xue, Z., ju Zhang, J.: Note on thermodynamic method of black Hole/CFT correspondence. J. High Energy Phys. 1303, 102 (2013) · Zbl 1342.83141 · doi:10.1007/JHEP03(2013)102
[8] Banados, M., Teitelboim, C., Zanelli, J.: The black hole in three-dimensional spacetime. Phys. Rev. Lett. 69, 1849 (1992) · Zbl 0968.83514 · doi:10.1103/PhysRevLett.69.1849
[9] Sadeghi, J., Farahani, H., Pourhassan, B., Noorbakhsh, M.: Cosmic string in the BTZ black hole background with time-dependant tension. Phys. Lett. B 703, 14 (2011). arXiv:0903.0292 [hep-th]
[10] Clement, G.: Classical solutions in three-dimensional Einstein-Maxwell cosmological gravity. Class. Quantum Gravity 10, L49 (1993) · Zbl 0781.53061
[11] Clement, G.: Spinning charged BTZ black holes and self-dual particle-like solutions. Phys. Lett. B 367, 70 (1996) · doi:10.1016/0370-2693(95)01464-0
[12] Martinez, C., Teitelboim, C., Zanelli, J.: Charged rotating black hole in three spacetime dimensions. Phys. Rev. D 61, 104013 (2000) · doi:10.1103/PhysRevD.61.104013
[13] Sasaki, N., Miyamura, O., Muroya, S., Nonaka, C.: A calculation of Baryon diffusion constant in hot and dense hadronic matter based on an event generator URASiMA. Phys. Rev. C 62, 011901 (2000) · doi:10.1103/PhysRevC.62.011901
[14] Sasaki, N., Miyamura, O., Muroya, S., Nonaka, C.: Baryon diffusion constant in hot and dense hadronic matter based on an event generator urasima. arXiv:hep-ph/0002019 · Zbl 1211.83032
[15] Sasaki, N., Miyamura, O., Muroya, S., Nonaka, C.: Charge diffusion constant in hot and dense hadronic matter—a Hadro-molecular-dynamic calculation. Europhys. Lett. 54, 38 (2001) · doi:10.1209/epl/i2001-00225-3
[16] Myers, R.C., Starinets, A.O., Thomson, R.M.: Holographic spectral functions and diffusion constants for fundamental matter. J. High Energy Phys. 0711, 091 (2007) · Zbl 1245.81209 · doi:10.1088/1126-6708/2007/11/091
[17] Shukla, A., Sharma, M., Mahesh, T.S.: Measurement of translational diffusion constant using noon state. arXiv:1110.1481 [quant-ph]
[18] Pang, D.-W.: Conductivity and diffusion constant in Lifshitz backgrounds. J. High Energy Phys. 1001, 120 (2010) · Zbl 1269.81148 · doi:10.1007/JHEP01(2010)120
[19] Sadeghi, J., Pourhassan, B., Amani, A.R.: The effect of higher derivative correction on η/s and conductivities in STU model. Int. J. Theor. Phys. 52, 42 (2013). arXiv:1011.2291 [hep-th] · Zbl 1263.83107 · doi:10.1007/s10773-012-1297-1
[20] Sadeghi, J., Chatrabhuti, A., Pourhassan, B.: Quasi-normal modes of AdS5 black hole at N=2 supergravity. Int. J. Theor. Phys. 50, 129 (2011) · Zbl 1211.83032 · doi:10.1007/s10773-010-0501-4
[21] Sadeghi, J., Pourhassan, B.: Drag force of moving quark at N=2 supergravity. J. High Energy Phys. 12, 026 (2008). arXiv:0809.2668 [hep-th] · Zbl 1329.83198 · doi:10.1088/1126-6708/2008/12/026
[22] Sadeghi, J., Setare, M.R., Pourhassan, B., Heshmatian, S.: Drag force of moving quark in STU background. Eur. Phys. J. C 61, 527 (2009). arXiv:0901.0217 [hep-th] · doi:10.1140/epjc/s10052-009-1011-5
[23] Sadeghi, J., Setare, M.R., Pourhassan, B.: Drag force with different charges in STU background and AdS/CFT. J. Phys. G, Nucl. Part. Phys. 36, 115005 (2009). arXiv:0905.1466 [hep-th] · doi:10.1088/0954-3899/36/11/115005
[24] Fadafan, K.B., Pourhassan, B., Sadeghi, J.: Calculating the jet-quenching parameter in STU background. Eur. Phys. J. C 71, 1785 (2011). arXiv:1005.1368 [hep-th] · doi:10.1140/epjc/s10052-011-1785-0
[25] Pourhassan, B., Sadeghi, J.: STU/QCD correspondence. Can. J. Phys. 91(12), 995-1019 (2013). arXiv:1205.4254 [hep-th] · doi:10.1139/cjp-2013-0117
[26] Pourhassan, B., Sadeghi, J., Chatrabhuti, A.: AdS5 black hole at N=2 supergravity. Indian J. Phys. 87, 691 (2013). arXiv:0912.1423 [hep-th] · Zbl 1211.83032 · doi:10.1007/s12648-013-0287-3
[27] Bu, Y.Y., Yang, J.M.: Spectral function and quark diffusion constant in non-critical holographic QCD. Nucl. Phys. B 855, 388 (2012) · Zbl 1229.81225 · doi:10.1016/j.nuclphysb.2011.10.023
[28] Sadeghi, J., Pourhassan, B., Heshmatian, S.: Application of AdS/CFT in quark-gluon plasma. Adv. High Energy Phys. 2013, 759804 (2013) · Zbl 1328.81229 · doi:10.1155/2013/759804
[29] Kontoudi, K., Policastro, G.: Diffusion constant of supercharge density in N=4 SYM at finite chemical potential. J. High Energy Phys. 1211, 044 (2012). arXiv:1206.2067 [hep-th] · doi:10.1007/JHEP11(2012)044
[30] Policastro, G., Son, D.T., Starinets, A.O.: From AdS/CFT correspondence to hydrodynamics. J. High Energy Phys. 0209, 043 (2002). arXiv:hep-th/0205052 · doi:10.1088/1126-6708/2002/09/043
[31] Belhaj, A., Chabab, M., EL Moumni, H., Sedra, M.B.: Critical behaviors of 3D black holes with a scalar hair. arXiv:1306.2518 [hep-th] · Zbl 1308.83076
[32] Ge, X.-H., Matsuo, Y., Shu, F.-W.: Viscosity bound, causality violation and instability with stringy correction and charge. J. High Energy Phys. 0810, 009 (2008). arXiv:0808.2354 [hep-th] · Zbl 1245.81166 · doi:10.1088/1126-6708/2008/10/009
[33] Camanho, X.O., Edelstein, J.D.: Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity. J. High Energy Phys. 1004, 007 (2010). arXiv:0911.3160 [hep-th] · Zbl 1272.83044 · doi:10.1007/JHEP04(2010)007
[34] de Boer, J., Kulaxizi, M., Parnachev, A.: AdS7/CFT6, Gauss-Bonnet gravity, and viscosity bound. J. High Energy Phys. 1003, 097 (2010). arXiv:0910.5347 [hep-th] · Zbl 1271.83048
[35] Sadeghi, J., Pourhassan, B., Jafarzadeh, K., Reisi, E., Rostami, M.: Massless fermion quasinormal modes in the Horava-Lifshitz background. Can. J. Phys. 91(3), 251 (2013) · doi:10.1139/cjp-2012-0552
[36] Sadeghi, J., Pourhassan, B.: Jet-quenching of the rotating heavy meson in a N=4 SYM plasma in presence of a constant electric field. Int. J. Theor. Phys. 50, 2305 (2011). arXiv:1001.0706 [hep-th] · Zbl 1225.83053 · doi:10.1007/s10773-011-0713-2
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