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Title:
Boundaries in Euclidean and Lorentzian Gravity
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Abstract:
There is no existence theory for Riemannian Einstein metrics on compact manifolds, while there is an excellent theory for Lorentzian Einstein metrics (GR). What happens when one puts in a boundary, creating a boundary value problem - at finite or infinite distance? What are the correct boundary data? This makes the Riemannian existence problem more amenable - one can start to build a theory, but the Lorentzian problem becomes more difficult. The talk will discuss some results, perspectives and open problems in this area.
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