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arXiv 0904.4904gr-qcastro-ph.COhep-th
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物质中的一般静态黑洞

General static black holes in matter

K. A. Bronnikov, O. B. Zaslavskii

摘要:

对于任意的静态时空,本文证明了Killing视界和物质之间的平衡只可能存在于参数$w = p_1/ρ$的某些离散值中,其中$ρ$是密度,$p_1$是垂直于视界方向的压力.在简单(非极端)视界和视界附近密度下降最慢的一般情况下,这对应于$w = -1/3$,这是无序宇宙弦气体的已知值。“真空物质”的混合物,其特征是$w=-1$和非零密度在地平线上,也被承认。这扩展了以前静态球对称时空的结果。与球对称相比,一个新的特征是,如果视界是零曲率的表面,则高阶视界可以在不存在真空物质的情况下存在,这可以发生,例如,在圆柱对称时空中。

英文摘要:

For arbitrary static space-times, it is shown that an equilibrium between a Killing horizon and matter is only possible for some discrete values of the parameter $w = p_1/ρ$, where $ρ$ is the density and $p_1$ is pressure in the direction normal to the horizon. In the generic situation of a simple (non-extremal) horizon and the slowest possible density decrease near the horizon, this corresponds to $w = -1/3$, the value known for a gas of disordered cosmic strings. An admixture of "vacuum matter", characterized by $w=-1$ and nonzero density at the horizon, is also admitted. This extends the results obtained previously for static, spherically symmetric space-times. A new feature as compared to spherical symmetry is that higher-order horizons can exist in the absence of vacuum matter if the horizon is a surface of zero curvature, which can occur, e.g., in cylindrically symmetric space-times.

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。

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