Self-similar cosmological solutions with dark energy. II. Black holes, naked singularities, and wormholes
Self-similar cosmological solutions with dark energy. II. Black holes, naked singularities, and wormholes
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DOI：
10.1103/physrevd.77.024023
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发表时间：
2007-07
影响因子：
5
通讯作者：
H. Maeda;T. Harada;B. Carr
中科院分区：
文献类型：
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作者：
H. Maeda;T. Harada;B. Carr
我们使用数值和分析方法相结合，利用前面的论文中推导出的方程，对所有球对称自相似解进行分类，这些解在大距离处是渐近弗里德曼的，并且包含状态方程p=（{gamma}-1）{mu}且0<{gamma}<2/3的理想流体。在这种情况下，弗里德曼宇宙的膨胀被加速了。我们发现一个单参数家庭的自相似的解决方案，代表一个黑洞嵌入在弗里德曼背景。这表明，与正压情况相反，如果黑洞不是太大，那么暗能量宇宙中的黑洞可以像哈勃视界一样快速增长。也有自相似的解，其中包含一个中心裸奇点与负质量和解决方案，代表一个弗里德曼宇宙连接到另一个弗里德曼宇宙或其他一些宇宙学模型。后者被解释为自相似的宇宙学白色孔或虫洞的解决方案。这些虫洞的咽喉被定义为二维领域的最小面积的类空超曲面，他们都是不可穿越的，因为过去的零无限的情况下。
We use a combination of numerical and analytical methods, exploiting the equations derived in a preceding paper, to classify all spherically symmetric self-similar solutions which are asymptotically Friedmann at large distances and contain a perfect fluid with equation of state p=({gamma}-1){mu} with 0<{gamma}<2/3. The expansion of the Friedmann universe is accelerated in this case. We find a one-parameter family of self-similar solutions representing a black hole embedded in a Friedmann background. This suggests that, in contrast to the positive pressure case, black holes in a universe with dark energy can grow as fast as the Hubble horizon if they are not too large. There are also self-similar solutions which contain a central naked singularity with negative mass and solutions which represent a Friedmann universe connected to either another Friedmann universe or some other cosmological model. The latter are interpreted as self-similar cosmological white hole or wormhole solutions. The throats of these wormholes are defined as two-dimensional spheres with minimal area on a spacelike hypersurface and they are all nontraversable because of the absence of a past null infinity.