Stealth black holes in shift symmetric kinetic gravity braiding

Abstract

We derive all hairy stealth black holes in the most general second-order, shift symmetric, scalar-tensor theory with luminally propagating gravitational waves, often called kinetic gravity braiding. Our approach exploits an overlooked loophole in a recently obtained no-go statement which claims shift symmetry breaking to be necessary for stealth solutions to exist in kinetic gravity braiding. We highlight the essential role played by a covariantly constant kinetic density in obtaining these solutions. Lastly, we propose a parametrization of the theories based on the asymptotics of its stealth solutions and comment on the intriguing singular effective metric for scalar perturbations in stealth black holes.

8 pages; matches accepted version

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Cited by in corpus (12)

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• Disformal map and Petrov classification in modified gravity
• Thermal stability of stealth and de Sitter spacetimes in scalar-tensor gravity
• The Well-Tempered Cosmological Constant: Fugue in B${}^{♭}$
• Self-tuning kinetic gravity braiding: Cosmological dynamics, shift symmetry, and the tadpole
• Black hole ringdown from physically sensible initial value problem in higher-order scalar-tensor theories
• To stealth or not to stealth: Thermodynamics of stealth black holes
• Gravitational wave signatures from dark sector interactions
• Kinetic gravity braiding wormhole geometries
• Stealth black holes in Aether Scalar Tensor theory
• A new rotating axionic AdS${}_4$ black hole dressed with a scalar field
• Spherically symmetric, static black holes with scalar hair, and naked singularities in nonminimally coupled k-essence