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- W1504571789 abstract "In stationary/static spacetimes, the positive mass theorem(PMT) implies us the strong restriction on the spacetime configurations. The famous one is the Lichnerowicz lemma/theorem in 1955: contractible stationary vacuum spacetime manifolds are static. Since the vacuum spacetime has the zero mass, PMT tells us that the spacetime is Minkowski spacetime. But, we are often interested in non-vacuum cases. For such cases, the spacetime may have the non-trivial mass. However, we can show that the mass vanishes for some cases and then spacetime is Minkowski spacetime. this means that the non-trivial stationary configration of matters are not permitted(no-go!). PMT also gives us powerful tool to show the uniqueness of static black hole spacetimes. This was done by Bunting and Masood-ul-Alam in 1987 for vacuum black holes. Now the main topics on fundamental problems are changed to be about black holes in higher dimensional black holes or string theory set-up. I will review the recent development on the uniqueness/classilication of higher dimensional black holes." @default.
- W1504571789 created "2016-06-24" @default.
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- W1504571789 date "2013-01-01" @default.
- W1504571789 modified "2023-09-23" @default.
- W1504571789 title "Generalised Lichnerowicz lemma, black hole uniqueness and positive mass theorem" @default.
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