Journal of Holography Applications in Physics

Hairy AdS black holes with Robin boundary conditions

Document Type : Regular article

Author

Department of Physics, Rikkyo University, Nishi-Ikebukuro, Toshima, Tokyo 171-8501, Japan

Abstract

We study hairy black holes in Einstein-Maxwell-complex scalar theory in four-dimensional asymptotically global anti-de Sitter (AdS) spacetime when the Robin boundary conditions are imposed on the scalar field. The hairy solutions branch from the Reissner-Nordstr"{o}m-AdS (RNAdS) black holes at the onset of instability of the scalar field under the Robin boundary conditions. There are also associated horizonless solutions called boson stars. Comparing thermal AdS, RNAdS, charged boson stars, and hairy black holes, we obtain phase diagrams in the grand canonical ensemble.

Keywords

Main Subjects

 

Article PDF

[1] S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, ”Building a Holographic Superconductor”, Phys. Rev. Lett. 101, 031601 (2008).
[2] S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, ”Holographic Superconductors”, JHEP 12, 015 (2008).
[3] P. Breitenlohner and D.Z. Freedman, ”Positive Energy in anti-De Sitter Backgrounds and Gauged Extended Supergravity”, Phys. Lett. B 115, 197 (1982).
[4] P. Breitenlohner and D.Z. Freedman, ”Stability in Gauged Extended Supergravity”, Annals Phys. 144, 249 (1982).
[5] A. Ishibashi and R.M. Wald, ”Dynamics in nonglobally hyperbolic static space-times. 3. Anti-de Sitter space-time”, Class. Quant. Grav. 21, 2981 (2004).
[6] T. Katagiri and T. Harada, ”Stability of small charged anti-de Sitter black holes in the Robin boundary”, Class. Quant. Grav. 38, 135026 (2021).
[7] T. Harada, T. Ishii, T. Katagiri and N. Tanahashi, ”Hairy black holes in AdS with Robin boundary conditions”, arxiv.org/abs/2304.02267
[8] S.W. Hawking and D.N. Page, ”Thermodynamics of Black Holes in anti-De Sitter Space”, Commun. Math. Phys. 87, 577 (1983).
[9] E. Witten, ”Anti-de Sitter space, thermal phase transition, and confinement in gauge theories”, Adv. Theor. Math. Phys. 2, 505 (1998).
[10] A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, ”Holography, thermodynamics and fluctuations of charged AdS black holes”, Phys. Rev. D 60, 104026 (1999).
[11] P. Basu, C. Krishnan and P.N. Bala Subramanian, ”Phases of Global AdS Black Holes”, JHEP 06, 139 (2016).
Journal of Holography Applications in Physics
Volume 3, Issue 2
June 2023
Pages 59-67
  • Receive Date: 18 April 2023
  • Revise Date: 01 May 2023
  • Accept Date: 21 May 2023