TY - JOUR

T1 - Hairy black holes in AdS with Robin boundary conditions

AU - Harada, Tomohiro

AU - Ishii, Takaaki

AU - Katagiri, Takuya

AU - Tanahashi, Norihiro

N1 - Funding Information: The authors thank Li Li, Keiju Murata and Matthew Roberts for useful discussions, and also thank the JGRG webinar series where this work was initiated. The work of T.H. was supported in part by JSPS KAKENHI Grant Numbers 19H01895, 20H05853, and 19K03876. The work of T.I. was supported in part by JSPS KAKENHI Grant Number 19K03871. The work of T.K. was supported in part by JSPS KAKENHI Grant Number 17H06360. T.K. thanks for support by VILLUM FONDEN (grant no. 37766), by the Danish Research Foundation, and under the European Union’s H2020 ERC Advanced Grant “Black holes: gravitational engines of discovery” grant agreement no. Gravitas–101052587. The work of N.T. was supported in part by JSPS KAKENHI Grant Numbers 18K03623 and 21H05189. Publisher Copyright: © 2023, The Author(s).

PY - 2023/6/19

Y1 - 2023/6/19

N2 - 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. This setup is dual to the double trace deformation of strongly interacting field theory on R × S 2 by charged scalar operators. We identify the instability of the Reissner-Nordström-AdS (RNAdS) black holes under the Robin boundary conditions and construct backreacted geometries branching at the onset of the instability. Also considering associated horizonless geometries called boson stars, we obtain phase diagrams with fairly rich structure in the grand canonical ensemble depending on the boundary condition parameter or the deformation parameter, where phase transition occurs between thermal AdS, RNAdS, charged boson stars, and hairy black holes.

AB - 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. This setup is dual to the double trace deformation of strongly interacting field theory on R × S 2 by charged scalar operators. We identify the instability of the Reissner-Nordström-AdS (RNAdS) black holes under the Robin boundary conditions and construct backreacted geometries branching at the onset of the instability. Also considering associated horizonless geometries called boson stars, we obtain phase diagrams with fairly rich structure in the grand canonical ensemble depending on the boundary condition parameter or the deformation parameter, where phase transition occurs between thermal AdS, RNAdS, charged boson stars, and hairy black holes.

KW - Black Holes

KW - Classical Theories of Gravity

KW - Gauge-Gravity Correspondence

KW - Holography and Condensed Matter Physics (AdS/CMT)

U2 - 10.1007/JHEP06(2023)106

DO - 10.1007/JHEP06(2023)106

M3 - Journal article

AN - SCOPUS:85163141859

VL - 2023

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 6

M1 - 106

ER -