Hair-dressing Horndeski: an approach to hairy solutions in cubic Horndeski gravity

Abstract

In obtaining exact solutions in gravitational theories containing arbitrary model functions, such as Horndeski gravity, one usually starts by prescribing the model functions of the theory and then goes on to solving their corresponding field equations. In this paper, we explore the extent to which the reverse procedure can be useful, whereby one starts with desired solutions and then determines the models that support them. Working within the phenomenologically interesting cubic and shift-symmetric sector of Horndeski gravity, we develop a method for obtaining exact static and spherically-symmetric solutions, one of which happens to be a new hairy black hole. We study this black hole and its properties. We also discuss the limitations of the method and its possible extension to other Horndeski sectors.

15 pages, 12 figures

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Cited by in corpus (6)

• Black holes with scalar hair in light of the Event Horizon Telescope
• Stealth black holes in shift symmetric kinetic gravity braiding
• Dressed black holes in the new tensor-vector-scalar theory
• Self-tuning kinetic gravity braiding: Cosmological dynamics, shift symmetry, and the tadpole
• Stealth black hole perturbations in kinetic gravity braiding
• Spherically symmetric, static black holes with scalar hair, and naked singularities in nonminimally coupled k-essence