For more information about this meeting, contact Kris Jenssen, Hope Shaffer.
| Title: | Approaching space-like singularities in general relativity |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Abhay Ashtekar , Department of Physics, Penn State |
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| Abstract: |
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| I will discuss the question: What does the geometry look
like near the Beginning and the End of space-time, i.e.
as one approaches the big-bang and big-crunch singularities
in general relativity? There is an old conjecture due to Beliinski,
Khalatnikov and Lifshitz (BKL) which says that `time derivatives
dominate over space derivatives' in this regime and Einstein's
equations (PDEs) are well approximated by ODEs. Over the years
evidence for the BKL conjecture has grown but we are no where near
a complete proof. I will briefly review this situation and then
describe some recent work in collaboration with Adam Henderson
and David Sloan at Penn State. There is a wealth of open issues
for mathematicians on both analytical and numerical fronts. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 11 / 14 / 2008 |
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| Time: | 03:35pm - 04:25pm |
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