论文标题
黑孔几何形状的显式等距嵌入，具有非斑点物质分布
Explicit isometric embeddings of black holes geometry with non-singular matter distribution
论文作者
论文摘要
这项工作致力于为黑洞的指标构建明确的嵌入，并由非语言分布形成。这种类型的解决方案的可能例子之一是常规黑洞。利用Schwarzschild度量的最小对称嵌入的现有分类为基础，我们为具有DE Sitter内部的常规黑洞构建嵌入。另一个简单的例子是黑洞，是由均匀的球形粉尘云倒塌而形成的。我们讨论了这种黑孔的两个变体的嵌入 - 一个永恒现有的地平线，当尘埃球永远不会离开地平线的内部，而另一种具有动态形成的地平线的变体。
The work is devoted to the construction of explicit embeddings for the metrics of the black holes, formed by nonsingular matter distribution. One of the possible examples of such type of solutions is regular black hole. Using the existing classification of minimal symmetric embeddings of the Schwarzschild metric as a base, we construct embeddings for regular black holes with de Sitter interior. Another simple example is black hole, formed by collapsing homogeneous spherically symmetric cloud of dustlike matter. We discuss embeddings for two variants of such black holes - the one with the eternally existing horizon, when dust ball never leaves the interior of the horizon, and another variant with the dynamically forming horizon.
