Black hole formation from a complete regular past
Mihalis Dafermos
TL;DR
This paper constructs a family of stable, asymptotically flat solutions in general relativity with a self-gravitating scalar field that contain black holes in the future but are past-causally geodesically complete, addressing a longstanding open problem.
Contribution
It provides the first known examples of such solutions, demonstrating the existence of black holes in a complete past without white holes in Einstein-scalar systems.
Findings
Constructed a family of solutions with black holes in the future
Solutions are asymptotically flat and past-causally geodesically complete
Examples are stable in a suitable sense
Abstract
An open problem in general relativity has been to construct an asymptotically flat solution to a reasonable Einstein-matter system containing a black hole in the future and yet past-causally geodesically complete, in particular, containing no white holes. We give such an example in this paper--in fact, a family of such examples, stable in a suitable sense--for the case of a self-gravitating scalar field.
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