Relativity Seminar
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Tue, 19/01/2010 12:00 |
Piotr T Chrusciel (Oxford) |
Relativity Seminar  |
L3 |
| I will present existence and uniqueness results for theCauchy problem as in the title. | |||
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Tue, 26/01/2010 12:00 |
Jerzy Lewandowski (Warsaw) |
Relativity Seminar |
L3 |
| Canonical quantization of gravitational field will beconsidered. Examples for which the procedure can be completed (without reducingthe degrees of freedom) will be presented and discussed. The frameworks appliedwill be: Loop Quantum Gravity, relational construction of the Dirac observablesand deparametrization. | |||
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Tue, 09/02/2010 12:00 |
Emmanuel Hebey (Universite de Cergy-Pontoise) |
Relativity Seminar |
L3 |
| We consider Einstein-scalar field Lichnerowicz equations in the positive case in compact Riemannian manifolds. We discuss existence and stability issues for these equations | |||
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Mon, 08/03/2010 12:00 |
George Sparling (University of Pittsburgh) |
Relativity Seminar |
L3 |
| I will outline two areas currently under study by myself and my co-workers, particularly Jonathan Holland: one concerns the relation between the exceptional Lie group G_2 and Einstein's gravity; the second will introduce and apply the concept of a causal geometry. | |||
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Tue, 09/03/2010 12:00 |
Willie W. Wong (Cambridge) |
Relativity Seminar |
L3 |
| A celebrated result in mathematical general relativity is the uniqueness of the Kerr(-Newman) black-holes as regular solutions to the stationary and axially-symmetric Einstein(-Maxwell) equations. The axial symmetry can be removed if one invokes Hawking's rigidity theorem. Hawking's theorem requires, however, real analyticity of the solution. A recent program of A. Ionescu and S. Klainerman seeks to remove the analyticity requirement in the vacuum case. They were able to show that any smooth extension of "Kerr data" prescribed on the horizon, satisfying the Einstein vacuum equations, must be Kerr, using a characterization of Kerr metric due to M. Mars. In this talk I will give a characterization for the Kerr-Newman metric, and extend the rigidity result to cover the electrovacuum case. | |||
