On horizons and wormholes in k-essence theories


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Аннотация

We study the properties of possible static, spherically symmetric configurations in k-essence theories with the Lagrangian functions of the form F(X), Xϕ,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 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.

Авторлар туралы

K. Bronnikov

VNIIMS; Institute of Gravitation and Cosmology, PFUR; National Research Nuclear University “MEPhI,”

Хат алмасуға жауапты Автор.
Email: kb20@yandex.ru
Ресей, Ozernaya ul. 46, Moscow, 119361; ul. Miklukho-Maklaya 6, Moscow, 117198; Kashirskoe sh. 31, Moscow, 115409

J. Fabris

National Research Nuclear University “MEPhI,”; Universidade Federal do Espírito Santo

Email: kb20@yandex.ru
Ресей, Kashirskoe sh. 31, Moscow, 115409; Vitória, ES, CEP29075-910

Denis Rodrigues

Universidade Federal do Espírito Santo

Email: kb20@yandex.ru
Бразилия, Vitória, ES, CEP29075-910

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