During the 2024–25 academic year, the CMSA will be hosting a seminar on General Relativity, organized by Uri Kol and Puskar Mondal.
This seminar will take place on Tuesdays from 11:00 am – 12:00 pm (Eastern time). The meetings will take place in Room G10 at the CMSA, 20 Garden Street, Cambridge MA 02138, and some meetings will take place virtually on Zoom or be held in hybrid formats.
To learn how to attend, please fill out this form to join the mailing list.
The schedule will be updated as talks are confirmed.
General Relativity Seminar Speaker: Marcelo Disconzi, Vanderbilt University Title: The Einstein-Euler system with a physical vacuum boundary in spherical symmetry Abstract: We establish local well-posedness for the Einstein-Euler system with a physical vacuum boundary in spherical symmetry. Our proof relies on a new way of thinking about Einstein’s equations in spherical symmetry that is well-adapted […]
General Relativity Seminar Speaker: Tin Yau Tsang, Courant Institute, New York University Title: Mass for the large and for the small Abstract: Seeking a meaningful geometric (physical) invariant to describe a spacetime has sparked research in both mathematics and physics. In this talk, we will first see the fundamental progress made by Schoen-Yau and Witten […]
https://youtu.be/gtvSMhYhD3w General Relativity Seminar Speaker: Nikolaos Athanasiou, University of Crete, Greece Title: The Einstein-Vlasov system in a large data regime Abstract: In this talk, our object of study is the Einstein-Vlasov system with a massless Vlasov matter field. Complementing various important works obtaining the stability of Minkowski spacetime as a solution to this system, we […]
General Relativity Seminar Speaker: Gilbert Weinstein, Ariel University Title: The mass angular momentum inequality Abstract: We show that either there is a counterexample to black hole uniqueness, in the form of a regular axisymmetric stationary vacuum spacetime with an asymptotically flat end and multiple degenerate horizons which is ‘ADM stable’, or the following statement holds. […]
General Relativity Seminar Speaker: Liam Urban (University of Vienna) Title: On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system Abstract: In recent years, the formation of Big Bang singularities has been increasingly well understood in presence of scalar-field matter, which suppresses the geometric oscillations that one generically expects otherwise. From a cosmological perspective, […]
https://youtu.be/T9D4heG-OSU General Relativity Seminar Speaker: Maximilian Ofner, University of Vienna Title: Stability and Instability of Relativistic Fluids in Slowly Expanding Spacetimes Abstract: Homogeneous and isotropic solutions to the relativistic Euler equations are known to be unstable on a Minkowski background. However, for FLRW models with a fast expansion rate, relativistic fluids stabilize. This scenario suggests […]
https://youtu.be/g8V7VeQwDtk General Relativity Seminar Speaker: Warren Li ( Princeton University) Title: BKL bounces outside homogeneity Abstract: In work spanning the late 20th century, physicists Belinski, Khalatnikov and Lifshitz (BKL) proposed a general ansatz for solutions to the Einstein (vacuum) equations near singularities. They suggest that the spacetime dynamics at different spatial points on the singularity decouple […]
https://youtu.be/m9B003wQ0PY General Relativity Seminar Speaker: Rudolf Zeidler, Mathematical Institute, University of Münster Title: Positive scalar curvature with point singularities Abstract: I will explain a certain topological construction of positive scalar curvature metrics with uniformly Euclidean ($L^\infty$) point singularities. This provides counterexamples to a conjecture of Schoen. It also shows that there are metrics with uniformly Euclidean […]
https://youtu.be/2Aak8YqVsLw General Relativity Seminar Speaker: Elliot Marshal, School of Mathematics at Monash University Title: Unstable Fluids in Expanding Cosmologies Abstract: The FLRW solution is the simplest cosmological model in general relativity, describing a fluid-filled, spatially homogeneous universe. While there is extensive literature in the physics community on cosmological models with a linear equation of state , […]
General Relativity Seminar Speaker: Sifan Yu, National University of Singapore Title: Low-regularity Local Well-posedness of the Elastic Wave System Abstract: In this talk, I will present a recent work on the elastic wave system in three spatial dimensions. For admissible harmonic elastic materials, we prove a low-regularity local well-posedness result for the corresponding elastic wave equations. For such materials, we can split the […]
General Relativity Seminar Speaker: Aghil Alaee, Clark University Title: Positive mass theorem for ALE(AE) and ALF(AF) Toric 4-Manifolds Abstract: One of the fundamental conjectures in mathematical relativity is the positivity of total mass (if it is defined!) for complete non-compact Riemannian manifolds assuming appropriate lower bounds on scalar curvature. This conjecture has been proved for […]
General Relativity Seminar Speaker: Christopher Stith, University of Michigan Title: Hyperbolic equations in a double null gauge Abstract: The hyperbolic nature of the Einstein equations is well-known and has been used in many different contexts. More recently, the double null gauge has proven to be a powerful tool for quantitative analysis of the Einstein equations. It has […]