arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1511.08036gr-qcastro-ph.COhep-th
收藏

关于k-本质理论中的视界和虫洞

On horizons and wormholes in k-essence theories

K. A. Bronnikov, J. C. Fabris, D. C. Rodrigues

摘要:

我们研究了k-本质理论中可能的静态球对称位形的性质,其拉格朗日函数的形式为$F(X)$,$X \equiv ϕ_{,α} ϕ^{,α}$。证明了一个不可行定理,即如果要求函数$F(X)$有一个有限导数$dF/dX$,则不可能存在一个有限半径的类黑洞Killing视界.对于k-本质的特殊情况,得到了两个精确解:一个是$F(X) =F_0 X^{1/3}$,另一个是$F(X) = F_0 |X|^{1/2} - 2 Λ$,其中$F_0$和$Λ$是常数.这两个解决方案包含地平线,不是渐近平坦的,并提供插图所获得的不去定理。第一个解可以解释为描述一个渐近奇异时空中的黑洞,而在第二个解中,两个无限区域的视界由虫洞连接。

英文摘要:

We study the properties of possible static, spherically symmetric configurations in k-essence theories with the Lagrangian functions of the form $F(X)$, $X \equiv ϕ_{,α} ϕ^{,α}$. 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 k-essence: one for $F(X) =F_0 X^{1/3}$, another for $F(X) = F_0 |X|^{1/2} - 2 Λ$, where $F_0$ and $Λ$ are constants. Both solutions contain horizons, are not asymptotically flat, and provide illustrations for the obtained no-go 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑