During the Fall 2019 Semester, a weekly seminar will be held on General Relativity. The seminar will take place at on Fridays at 10:30am virtually. Please email the seminar organizers to obtain a link. This seminar is organized by Aghil Alaee.
To learn how to attend this seminar, please contact Aghil Alaee (email@example.com).
The schedule will be updated below.
|9/11/2020||Dan Lee (Queens College, CUNY)|
|Title: Bartnik minimizing initial data sets|
Abstract: We will review some facts about Bartnik minimizing initial data sets in the time-symmetric case, and then discuss new results on the general case obtained in joint work with Lan-Hsuan Huang of the University of Connecticut. Bartnik conjectured that these minimizers must be vacuum and admit a global Killing vector. We make partial progress toward the conjecture by proving that Bartnik minimizers must arise from so-called “null dust spacetimes” that admit a global Killing vector field. In high dimensions, we find examples that contradict Bartnik’s conjecture, as well as the “strict” positive mass theorem, though these examples have “sub-optimal” asymptotic decay rates.
|9/18/2020||Martin Lesourd (BHI, Harvad)|
|Title: Construction of Cauchy data for the dynamical formation of apparent horizon and the Penrose Inequality|
Abstract: We construct a class of Cauchy initial data without (marginally) trapped surfaces whose future evolution is a trapped region bounded by an apparent horizon, i.e., a smooth hypersurface foliated by MOTS. The estimates obtained in the evolution lead to the following conditional statement: if Kerr Stability holds, then this kind of initial data yields a class of scale critical vacuum examples of Weak Cosmic Censorship and the Final State Conjecture. Moreover, owing to estimates for the ADM mass of the data and the area of the MOTS, the construction gives a fully dynamical vacuum setting in which to study the Spacetime Penrose Inequality. We show that the inequality is satisfied for an open region in the Cauchy development of this kind of initial data, which itself is controllable by the initial data. This is joint work with Nikos Athanasiou https://arxiv.org/abs/2009.03704.
|9/25/2020||Pei-Ken Hung (MIT)||TBA|
|Sharmila Gunasekaran (Memorial University)||TBA|
|10/9/2020||Carla Cederbaum (University of Tübingen)||TBA|
|10/23/2020||Jeff Jauregui (Union College)||TBA|
|10/30/2020||Stephen McCormick (University of Uppsala)||TBA|
|11/6/2020||Henri Roesch (Columbia University)||TBA|
|11/13/2020||Alessandro Carlotto (ETH Zurich)||TBA|
|11/20/2020||Yuguang Shi (Peking University)||TBA|
Information about last year’s seminar can be found here.