| Full text | |
| Author(s): |
Brihaye, Yves
;
Hartmann, Betti
;
Aprile, Nathalia Pio
;
Urrestilla, Jon
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 101, n. 12, p. 12-pg., 2020-06-11. |
| Abstract | |
We study the spontaneous scalarization of spherically symmetric, static and asymptotically anti-de Sitter (aAdS) black holes in a scalar-tensor gravity model with nonminimal coupling of the form phi(2) (alpha R + gamma G), where alpha and gamma are constants, while R and G arc the Ricci scalar and Gauss-Bonnet term, respectively. Since these terms act as an effective "mass" for the scalar field, nontrivial values of the scalar field in the black hole space-time are possible for a priori vanishing scalar field mass. In particular, we demonstrate that the scalarization of an aAdS black hole requires the curvature invariant -(alpha R + gamma G) to drop below the Breitenlohner-Freedman bound close to the black hole horizon, while it asymptotes to a value well above the bound. The dimension of the dual operator on the AdS boundary depends on the parameters alpha and gamma and we demonstrate that-for fixed operator dimension-the expectation value of this dual operator increases with decreasing temperature of the black hole, i.e., of the dual field theory. When taking backreaction of the space-time into account, we fmd that the scalarization of the black hole is the dual description of a phase transition in a strongly coupled quantum system, i.e., corresponds to a holographic phase transition. A possible application are liquid-gas quantum phase transitions, e.g., in He-4. Finally, we demonstrate that external black holes with AdS(2) x S-2 near-horizon geometry cannot support regular scalar fields on the horizon in the scalar-tensor model studied here. (AU) | |
| FAPESP's process: | 19/01511-5 - Black holes and solitons in generalized scalar-tensor gravity models |
| Grantee: | Betti Hartmann |
| Support Opportunities: | Regular Research Grants |