Relativity Seminar
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Tue, 27/01/2009 12:00 |
Jacques Smulevici (Cambridge) |
Relativity Seminar  |
L3 |
| I will present recent results concerning the study of the global Cauchy problem in general relativity under symmetry assumptions. More specifically, I will be focusing on the structure of singularities and the uniqueness in the large for solutions of the Einstein equations, the so-called strong cosmic censorship, under the assumption that the initial data is given on some compact manifold with prescribed symmetry. In particular, I will present some results which concerned the asymptotic behaviour of the area of the orbits of symmetry, a quantity which plays in important role for the study of these solutions. From the point of view of PDE, this corresponds to a global existence theorem for a system of non-linear 1+1 wave equations. | |||
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Tue, 10/02/2009 12:00 |
Igor Rodnianski (Princeton) |
Relativity Seminar |
L3 |
| I will review our current mathematical understanding of waves on black hole backgrounds, starting with the classical boundedness theorem of Kay and Wald on Schwarzschild space-time and ending with recent boundedness and decay theorems on a wider class of black hole space-times. | |||
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Tue, 24/02/2009 12:00 |
Jose Maciel Natario (Lisboa) |
Relativity Seminar |
L3 |
| I will explain what quasinormal modes are and how to obtain asymptotic formulae for the quasinormal frequencies of static, spherically symmetric black hole spacetimes in d dimensions in the limit of very large imaginary part. | |||
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Tue, 10/03/2009 12:00 |
Akihiro Ishibashi (KEK Japan) |
Relativity Seminar |
L3 |
| We show that a charged rotating black hole in five-dimensional Einstein-Maxwell-Chern-Simons theory is uniquely characterized by the mass, charge, and two independent angular momenta, under the assumptions of the existence of two commuting axial isometries and spherical topology of horizon cross-sections. Therefore, such a black hole must be described by the Chong-Cvetič-Lü-Pope metric. | |||
