Classification of shift-symmetric Horndeski theories and hairy black holes
Autor: | Thomas P. Sotiriou, Mehdi Saravani |
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Rok vydání: | 2019 |
Předmět: |
High Energy Astrophysical Phenomena (astro-ph.HE)
High Energy Physics - Theory Physics Coupling Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics General relativity Horizon Scalar (mathematics) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Black hole Theoretical physics High Energy Physics - Theory (hep-th) 0103 physical sciences Invariant (mathematics) Astrophysics - High Energy Astrophysical Phenomena 010306 general physics Constant (mathematics) Scalar field |
Zdroj: | Physical Review D. 99 |
ISSN: | 2470-0029 2470-0010 |
DOI: | 10.1103/physrevd.99.124004 |
Popis: | No-hair theorems for scalar-tensor theories imply that the trivial scalar field configuration is the unique configuration around stationary black hole spacetimes. The most basic assumption in these theorems is that a constant scalar configuration is actually admissible. In this paper, we classify shift-symmetric Horndeski theories according to whether or not they admit the trivial scalar configuration as a solution and under which conditions. Local Lorentz symmetry and the presence of a linear coupling between the scalar field and Gauss-Bonnet invariant plays feature prominently in this classification. We then use the classification to show that any theory without linear Gauss-Bonnet coupling that respects local Lorentz symmetry admits all solutions of general relativity. We also study the scalar hair configuration around black hole spacetimes in theories where the linear Gauss-Bonnet coupling is present. We show that the scalar hair of the configuration is secondary, fixed by the regularity of the horizon, and is determined by the black hole horizon properties. |
Databáze: | OpenAIRE |
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