On horizons and wormholes in kessence theories
Abstract
We study the properties of possible static, spherically symmetric configurations in kessence theories with the Lagrangian functions of the form $F(X)$, $X \equiv \phi_{,\alpha} \phi^{,\alpha}$. A nogo theorem has been proved, claiming that a possible blackholelike 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 $F(X) = F_0 X^{1/2}  2 \Lambda$, where $F_0$ and $\Lambda$ 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 spacetime, while in the second solution two horizons of infinite area are connected by a wormhole.
 Publication:

Gravitation and Cosmology
 Pub Date:
 January 2016
 DOI:
 10.1134/S0202289316010035
 arXiv:
 arXiv:1511.08036
 Bibcode:
 2016GrCo...22...26B
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 7 pages, 2 figures