Mathematics – Logic
Scientific paper
Sep 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.2119w&link_type=abstract
"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an
Mathematics
Logic
Scientific paper
The occurrence and nature of singularities in General Relativity remains arguably the most important outstanding problem in the field. This is in direct contrast to most other areas of physics where singularities are merely mathematical peculiarities. We examine why singularities in General Relativity are different--they have a complex and subtle nature and are notoriously difficult to investigate due to the lack of a suitable framework. We consider the effectiveness of various attempts since the '60s to devise such a framework or "boundary construction" for the study of space-time singularities. Finally, we discuss the most recent such boundary construction, the a-boundary; the most objective, flexible and ultimately the most practical of all these constructions. The a-boundary has recently been recast in terms of "distances" rather than its original topological description, rendering it accessible to a much broader range of researchers.
Scott Susan M.
Whale Benjamin E.
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