Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry

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 consist...

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Autores principales: Chernicoff, M., Giribet, G., Oliva, J., Tellez A.F., de la Cruz Burelo E., Roig P.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_17426588_v761_n1_p_Chernicoff
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spelling todo:paper_17426588_v761_n1_p_Chernicoff2023-10-03T16:31:13Z Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry Chernicoff, M. Giribet, G. Oliva, J. Tellez A.F. de la Cruz Burelo E. Roig P. Gravitation Quantum theory Black hole solutions Cosmological constants Coupling constants Einstein theories Quantum numbers Scalar fields Theory of gravity Thermodynamical properties Stars 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. © Published under licence by IOP Publishing Ltd. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17426588_v761_n1_p_Chernicoff
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Gravitation
Quantum theory
Black hole solutions
Cosmological constants
Coupling constants
Einstein theories
Quantum numbers
Scalar fields
Theory of gravity
Thermodynamical properties
Stars
spellingShingle Gravitation
Quantum theory
Black hole solutions
Cosmological constants
Coupling constants
Einstein theories
Quantum numbers
Scalar fields
Theory of gravity
Thermodynamical properties
Stars
Chernicoff, M.
Giribet, G.
Oliva, J.
Tellez A.F.
de la Cruz Burelo E.
Roig P.
Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
topic_facet Gravitation
Quantum theory
Black hole solutions
Cosmological constants
Coupling constants
Einstein theories
Quantum numbers
Scalar fields
Theory of gravity
Thermodynamical properties
Stars
description 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. © Published under licence by IOP Publishing Ltd.
format CONF
author Chernicoff, M.
Giribet, G.
Oliva, J.
Tellez A.F.
de la Cruz Burelo E.
Roig P.
author_facet Chernicoff, M.
Giribet, G.
Oliva, J.
Tellez A.F.
de la Cruz Burelo E.
Roig P.
author_sort Chernicoff, M.
title Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
title_short Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
title_full Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
title_fullStr Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
title_full_unstemmed Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry
title_sort hairy lovelock black holes and stueckelberg mechanism for weyl symmetry
url http://hdl.handle.net/20.500.12110/paper_17426588_v761_n1_p_Chernicoff
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