The total space-time of a point-mass when Λ ≠ 0, and its consequences for the Lake-Roeder black hole

✍ Scribed by Leonard S. Abrams

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 446 KB
• Volume: 227
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(95)00383-5

✦ Synopsis

Singularities associated with an incomplete space time (S) are not well-defined until a boundary is attached to it. Moreover, each boundary (B) gives rise to a different singularity structure for SwB, the resulting "total" space-time (TST). Since S is compatible with a variety of boundaries, it therefore does not represent a unique universe, but instead corresponds to a family of universes, one for each possible boundary.

It is shown here that in the case of Weyl's space-time for a point-mass with nonzero A, the boundary which he attached to it is invalid, and when the correct one is attached, the resulting TST is inextendible. This implies that the Lake-Roeder black hole cannot be produced by gravitational collapse.