Journal
PHYSICAL REVIEW LETTERS
Volume 112, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.112.251102
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Funding
- European Research Council under the European Union's Seventh Framework Programme/ERC [306425]
- STFC [ST/L000393/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000393/1] Funding Source: researchfish
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The most general action for a scalar field coupled to gravity that leads to second-order field equations for both the metric and the scalar-Horndeski's theory-is considered, with the extra assumption that the scalar satisfies shift symmetry. We show that in such theories, the scalar field is forced to have a nontrivial configuration in black hole spacetimes, unless one carefully tunes away a linear coupling with the Gauss-Bonnet invariant. Hence, black holes for generic theories in this class will have hair. This contradicts a recent no-hair theorem which seems to have overlooked the presence of this coupling.
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