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Solitons and black hole in shift symmetric scalar-tensor gravity with cosmological constant

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Author(s):
Brihaye, Yves ; Hartmann, Betti ; Urrestilla, Jon
Total Authors: 3
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 6, p. 15-pg., 2018-06-14.
Abstract

We demonstrate the existence of static, spherically symmetric globally regular, i.e. solitonic solutions of a shift-symmetric scalar-tensor gravity model with negative cosmological constant. The norm of the Noether current associated to the shift symmetry is finite in the full space-time. We also discuss the corresponding black hole solutions and demonstrate that the interplay between the scalar-tensor coupling and the cosmological constant leads to the existence of new branches of solutions. To linear order in the scalar-tensor coupling, the asymptotic space-time corresponds to an Anti-de Sitter space-time with a non-trivial scalar field on its conformal boundary. This allows the interpretation of our solutions in the context of the AdS/CFT correspondence. Finally, we demonstrate that-for physically relevant, small values of the scalar-tensor coupling-solutions with positive cosmological constant do not exist in our model. (AU)

FAPESP's process: 16/12605-2 - (In)stability and excitation of modes in (asymptotically) Anti-de Sitter space-times with view to the AdS/CFT correspondence
Grantee:Betti Hartmann
Support Opportunities: Regular Research Grants