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We find and study the properties of black hole solutions for a subclass of Horndeski theory including the cubic Galileon term.
- The theory under study has shift symmetry but not reflection symmetry for the scalar field.
- The Galileon is assumed to have linear time dependence characterized by a velocity parameter.
- We give analytic 3-dimensional solutions that are akin to the BTZ solutions but with a non-trivial scalar field that modifies the effective cosmological constant.
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