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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2016
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v761_n1_p_Chernicoff http://hdl.handle.net/20.500.12110/paper_17426588_v761_n1_p_Chernicoff |
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paper:paper_17426588_v761_n1_p_Chernicoff2023-06-08T16:27:45Z Hairy Lovelock black holes and Stueckelberg mechanism for Weyl symmetry 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. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v761_n1_p_Chernicoff http://hdl.handle.net/20.500.12110/paper_17426588_v761_n1_p_Chernicoff |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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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 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. |
| 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 |
| publishDate |
2016 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v761_n1_p_Chernicoff http://hdl.handle.net/20.500.12110/paper_17426588_v761_n1_p_Chernicoff |
| _version_ |
1768544568402247680 |