Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry

30th Annual Meeting of the Division of Particles and Fields (DPyC) of the Mexican Physical Society

Chernicoff, Mariano^1 ; Giribet, Gaston^2,3,4 ; Oliva, Julio^5

Departamento de Fisica, Facultad de Ciencias, Universidad Nacional Autónoma de México

, A.P. 70-542, México D.F.

04510, Mexico^1

Departamento de Fisica, Universidad de Buenos Aires, IFIBA, CONICET, Ciudad Universitaria, pabellón 1, Buenos Aires

1428, Argentina^2

Université Libre de Bruxelles, International Solvay Institutes, Campus Plaine, Bruxelles

C.P. 231 B-1050, Belgium^3

Instituto de Fisica, Pontificia Universidad Católica de Valparaiso, Casilla 4950, Valparaiso, Chile^4

Departamento de Fisica, Universidad de Concepción

, Casilla 160-C, Concepción, Chile^5

关键词: Black hole solutions;    Cosmological constants;    Coupling constants;    Einstein theories;    Quantum numbers;    Scalar fields;    Theory of gravity;    Thermodynamical properties;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/761/1/012074/pdf
DOI  :  10.1088/1742-6596/761/1/012074

来源: IOP

【 摘 要 】

Lovelock theory of gravity -and, in particular, Einstein theory- admits black hole solutions that can be equipped with a hair by conformally coupling the theory to a real scalar field. This is a secondary hair, meaning that it does not endow the black hole with new quantum numbers. It rather consists of a non-trivial scalar field profile of fixed intensity which turns out to be regular everywhere outside and on the horizon and, provided the cosmological constant is negative, behaves at large distance in a way compatible with the Anti-de Sitter (AdS) asymptotic. In this paper, we review the main features of these hairy black hole solutions, such as their geometrical and thermodynamical properties. The conformal coupling to matter in dimension D > 4 in principle includes higher-curvature terms. These couplings are obtained from the Lovelock action through the Stueckelberg strategy. As a consequence, the resulting scalar-tensor theory exhibits a self-duality under field redefinition that resembles T-duality. Through this field redefinition, the matter content of the theory transforms into a Lovelock action for a dual geometry. Since the hairy black holes only exist for special relations between the dual Lovelock coupling constants, it is natural to compare those relations with the causality bounds coming from AdS/CFT. We observe that, while the lower causality bound is always obeyed, the upper causality bound is violated. The latter, however, is saturated in the large D limit.