Thermodynamics in rotating anti-de Sitter black holes with massive scalar field in three dimensions

  • We investigated the tendency in the variations of CFT 2when a rotating AdS 3black hole changes because of the fluxes transferred by the scattering of a massive scalar field according to the anti-de Sitter (AdS)/conformal field theory (CFT) correspondence. The conserved quantities of the black hole are definitely constrained by the extremal condition. Moreover, the laws of thermodynamics provide a direction for the changes in the conserved quantities. Therefore, the black hole cannot be extremal under the scattering; this is naturally preferred. According to the relationship between the rotating AdS 3black hole and dual CFT 2, we find that such changes in the black hole constrain the variations in the eigenstates of dual CFT 2. Furthermore, the tendency in the variations is closely related to the laws of thermodynamics.
  • 加载中
  • [1] S. W. Hawking, Commun. Math. Phys.,43: 199 (1975) doi:10.1007/BF02345020
    [2] S. W. Hawking, Phys. Rev. D,13: 191 (1976) doi:10.1103/PhysRevD.13.191
    [3] D. Christodoulou, Phys. Rev. Lett.,25: 1596 (1970) doi:10.1103/PhysRevLett.25.1596
    [4] D. Christodoulou and R. Ruffini, Phys. Rev. D,4: 3552 (1971) doi:10.1103/PhysRevD.4.3552
    [5] L. Smarr, Phys. Rev. Lett.,30: 71 (1973) doi:10.1103/PhysRevLett.30.71
    [6] J. M. Bardeen, Nature,226: 64 (1970) doi:10.1038/226064a0
    [7] J. D. Bekenstein, Phys. Rev. D,7: 2333 (1973)
    [8] J. D. Bekenstein, Phys. Rev. D,9: 3292 (1974)
    [9] R. Penrose, Phys. Rev. Lett.,14: 57 (1965)
    [10] R. Penrose, Riv. Nuovo Cim.,1: 252 (1969)
    [11] R. Wald, Annals Phys.,82: 548 (1974) doi:10.1016/0003-4916(74)90125-0
    [12] V. E. Hubeny, Phys. Rev. D,59: 064013 (1999) doi:10.1103/PhysRevD.59.064013
    [13] T. Jacobson and T. P. Sotiriou, Phys. Rev. Lett.,103: 141101 (2009) doi:10.1103/PhysRevLett.103.141101
    [14] E. Barausse, V. Cardoso, and G. Khanna, Phys. Rev. Lett.,105: 261102 (2010) doi:10.1103/PhysRevLett.105.261102
    [15] S. Isoyama, N. Sago, and T. Tanaka, Phys. Rev. D,84: 124024 (2011) doi:10.1103/PhysRevD.84.124024
    [16] S. Gao and Y. Zhang, Phys. Rev. D,87(4): 044028 (2013) doi:10.1103/PhysRevD.87.044028
    [17] J. V. Rocha and R. Santarelli, Phys. Rev. D,89(6): 064065 (2014) doi:10.1103/PhysRevD.89.064065
    [18] M. Colleoni and L. Barack, Phys. Rev. D,91: 104024 (2015) doi:10.1103/PhysRevD.91.104024
    [19] V. Cardoso and L. Queimada, Gen. Rel. Grav.,47(12): 150 (2015) doi:10.1007/s10714-015-1990-5
    [20] B. Gwak and B. H. Lee, JCAP,1602: 015 (2016)
    [21] H. M. Siahaan, Phys. Rev. D,93(6): 064028 (2016) doi:10.1103/PhysRevD.93.064028
    [22] B. Gwak, Phys. Rev. D,95(12): 124050 (2017) doi:10.1103/PhysRevD.95.124050
    [23] K. S. Revelar and I. Vega, Phys. Rev. D,96(6): 064010 (2017) doi:10.1103/PhysRevD.96.064010
    [24] J. Sorce and R. M. Wald, Phys. Rev. D,96(10): 104014 (2017) doi:10.1103/PhysRevD.96.104014
    [25] T. Y. Yu and W. Y. Wen, Phys. Lett. B,781: 713 (2018) doi:10.1016/j.physletb.2018.04.060
    [26] Y. Gim and B. Gwak, Phys. Lett. B,794: 122 (2019) doi:10.1016/j.physletb.2019.05.039
    [27] X. X. Zeng, Y. W. Han, and D. Y. Chen, Chin. Phys. C,43(10): 105104 (2019) doi:10.1088/1674-1137/43/10/105104
    [28] P. Wang, H. Wu, and H. Yang, Eur. Phys. J. C,79(7): 572 (2019) doi:10.1140/epjc/s10052-019-7090-z
    [29] K. J. He, G. P. Li, and X. Y. Hu, Eur. Phys. J. C,80(3): 209 (2020) doi:10.1140/epjc/s10052-020-7669-4
    [30] S. Q. Hu, B. Liu, X. M. Kuanget al., arXiv: 1910.04437[gr-qc]
    [31] S. Hod, Phys. Rev. Lett.,100: 121101 (2008) doi:10.1103/PhysRevLett.100.121101
    [32] I. Semiz, Gen. Rel. Grav.,43: 833 (2011) doi:10.1007/s10714-010-1108-z
    [33] G. Z. Toth, Gen. Rel. Grav.,44: 2019 (2012) doi:10.1007/s10714-012-1374-z
    [34] J. Natario, L. Queimada, and R. Vicente, Class. Quant. Grav.,33(17): 175002 (2016) doi:10.1088/0264-9381/33/17/175002
    [35] K. DüztaŞ, Class. Quant. Grav.,35(4): 045008 (2018) doi:10.1088/1361-6382/aaa4e0
    [36] B. Gwak, JHEP,1809: 081 (2018)
    [37] B. Gwak, JCAP,1908: 016 (2019)
    [38] J. Jiang, X. Liu, and M. Zhang, Phys. Rev. D,100(8): 084059 (2019) doi:10.1103/PhysRevD.100.084059
    [39] D. Chen, W. Yang, and X. Zeng, Nucl. Phys. B,946: 114722 (2019) doi:10.1016/j.nuclphysb.2019.114722
    [40] K. DüztaŞ, Eur. Phys. J. C,79(4): 316 (2019) doi:10.1140/epjc/s10052-019-6851-z
    [41] J. Natario and R. Vicente, Gen. Rel. Grav.,52(1): 5 (2020) doi:10.1007/s10714-020-2658-3
    [42] B. Gwak, JCAP,03: 058 (2020)
    [43] X. Y. Wang and J. Jiang, arXiv: 1911.03938[hep-th]
    [44] S. J. Yang, J. Chen, J. J. Wanet al., Phys. Rev. D,101(6): 064048 (2020) doi:10.1103/PhysRevD.101.064048
    [45] W. Hong, B. Mu, and J. Tao, arXiv: 2001.09008[physics.gen-ph]
    [46] J. M. Maldacena, Int. J. Theor. Phys.,38: 1113 (1999) [Adv. Theor. Math. Phys.,2: 231 (1998)]
    [47] S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B,428: 105 (1998) doi:10.1016/S0370-2693(98)00377-3
    [48] E. Witten, Adv. Theor. Math. Phys.,2: 253 (1998) doi:10.4310/ATMP.1998.v2.n2.a2
    [49] O. Aharony, S. S. Gubser, J. M. Maldacenaet al., Phys. Rept.,323: 183 (2000) doi:10.1016/S0370-1573(99)00083-6
    [50] E. Witten, Adv. Theor. Math. Phys.,2: 505 (1998) doi:10.4310/ATMP.1998.v2.n3.a3
    [51] J. D. Brown and M. Henneaux, Commun. Math. Phys.,104: 207 (1986) doi:10.1007/BF01211590
    [52] A. Strominger, JHEP,9802: 009 (1998)
    [53] J. Babington, J. Erdmenger, N. J. Evanset al., Phys. Rev. D,69: 066007 (2004) doi:10.1103/PhysRevD.69.066007
    [54] M. Kruczenski, D. Mateos, R. C. Myerset al., JHEP,0405: 041 (2004)
    [55] T. Sakai and S. Sugimoto, Prog. Theor. Phys.,114: 1083 (2005) doi:10.1143/PTP.114.1083
    [56] J. Erlich, E. Katz, D. T. Sonet al., Phys. Rev. Lett.,95: 261602 (2005) doi:10.1103/PhysRevLett.95.261602
    [57] S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, Phys. Rev. Lett.,101: 031601 (2008) doi:10.1103/PhysRevLett.101.031601
    [58] S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, JHEP,0812: 015 (2008)
    [59] K. Jensen, JHEP,1101: 109 (2011)
    [60] T. Andrade, J. I. Jottar, and R. G. Leigh, JHEP,1205: 071 (2012)
    [61] H. C. Chang, M. Fujita, and M. Kaminski, JHEP,1410: 118 (2014)
    [62] M. Banados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett.,69: 1849 (1992) doi:10.1103/PhysRevLett.69.1849
    [63] M. Banados, M. Henneaux, C. Teitelboimet al., Phys. Rev. D,48: 1506 (1993) Erratum: [Phys. Rev. D,88: 069902 (2013)]
    [64] B. Gwak and B. H. Lee, Class. Quant. Grav.,29: 175011 (2012) doi:10.1088/0264-9381/29/17/175011
    [65] D. Chen, Chin. Phys. C,44(1): 015101 (2020) doi:10.1088/1674-1137/44/1/015101
    [66] J. M. Bardeen, B. Carter, and S. Hawking, Commun. Math. Phys.,31: 161-170 (1973) doi:10.1007/BF01645742
    [67] W. Israel, Phys. Rev. Lett.,57(4): 397 (1986) doi:10.1103/PhysRevLett.57.397
    [68] R. M. Wald, Phys. Rev. D,56: 6467-6474 (1997) doi:10.1103/PhysRevD.56.6467
  • 加载中

Figures(3)

Get Citation
Bogeun Gwak. Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive Scalar Field in Three Dimensions[J]. Chinese Physics C. doi: 10.1088/1674-1137/abb656
Bogeun Gwak. Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive Scalar Field in Three Dimensions[J]. Chinese Physics C. doi:10.1088/1674-1137/abb656 shu
Milestone
Received: 2020-06-04
Article Metric

Article Views(3618)
PDF Downloads(71)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
    通讯作者:陈斌, bchen63@163.com
    • 1.

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    Baidu
    map