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Lorentzian Cobordisms, Compact Horizons and the Generic Condition
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2014 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

We consider the problem of determining which conditions are necessaryfor cobordisms to admit Lorentzian metrics with certain properties. Inparticular, we prove a result originally due to Tipler without a smoothnesshypothesis necessary in the original proof. In doing this, we prove thatcompact horizons in a smooth spacetime satisfying the null energy condition aresmooth. We also prove that the ”generic condition” is indeed generic in the setof Lorentzian metrics on a given manifold

Place, publisher, year, edition, pages
TRITA-MAT-E, 2014:29
National Category
URN: urn:nbn:se:kth:diva-146276OAI: diva2:723418
Subject / course
Educational program
Master of Science - Mathematics
Available from: 2014-06-10 Created: 2014-06-10 Last updated: 2014-06-10Bibliographically approved

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