Abstract
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,α ϕ,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) = F 0 X 1/3, another for F(X) = F 0|X|1/2 − 2Λ, where F 0 and Λ are constants. Both solutions contain horizons, are not asymptotically flat, and provide illustrations for the obtained nogo theorem. The first solution may be interpreted as describing a black hole in an asymptotically singular space-time, while in the second solution two horizons of infinite area are connected by a wormhole.
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Bronnikov, K.A., Fabris, J.C. & Rodrigues, D.C. On horizons and wormholes in k-essence theories. Gravit. Cosmol. 22, 26–31 (2016). https://doi.org/10.1134/S0202289316010035
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DOI: https://doi.org/10.1134/S0202289316010035