General static black holes in matter
General static black holes in matter
复制标题
物质中的一般静态黑洞
DOI：
10.1088/0264-9381/26/16/165004
复制
发表时间：
2009
影响因子：
3.5
通讯作者：
O. Zaslavskii
中科院分区：
文献类型：
--
作者：
K. Bronnikov;O. Zaslavskii
结果表明，对于任意的静态时空，只有当参数w=p1/ρ有一定的离散值时，才有可能在杀伤视界和物质之间达到平衡，其中ρ是密度，p1是垂直于视界方向的压力。在简单(非极端)视界和视界附近最慢密度下降的一般情况下，这对应于w=−1/3，这是已知的无序宇宙弦气体的值。还允许存在“真空物质”的混合物，其特征为w=−1，在视界处密度为非零。这扩展了先前获得的静态、球对称时空的结果。与球对称相比的一个新特征是，如果地平线是零曲率的表面，那么在没有真空物质的情况下，高阶地平线可以存在，例如，在柱对称的时空中。
For arbitrary static spacetimes, it is shown that an equilibrium between a Killing horizon and matter is only possible for some discrete values of the parameter w = p1/ρ, where ρ is the density and p1 is the 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 spacetimes. 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 spacetimes.