On horizons and wormholes in k-essence theories

@article{Bronnikov2015OnHA,
  title={On horizons and wormholes in k-essence theories},
  author={Kirill A. Bronnikov and J{\'u}lio C{\'e}sar Fabris and Denis Campos Rodrigues},
  journal={Gravitation and Cosmology},
  year={2015},
  volume={22},
  pages={26-31}
}
We study the properties of possible static, spherically symmetric configurations in k-essence theories with the Lagrangian functions of the form F(X), X ≡ ϕ,αϕ,α. A no-go theorem has been proved, claiming that a possible black-hole-like Killing horizon of finite radius cannot exist if the function F(X) is required to have a finite derivative dF/dX. Two exact solutions are obtained for special cases of kessence: one for F(X) = F0X1/3, another for F(X) = F0|X|1/2 − 2Λ, where F0 and Λ are… 

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