The stability of charged black holes
Abstract: Black holes solutions in General Relativity are parametrized by their mass, spin and charge. In this talk, I will motivate why the charge of black holes adds interesting dynamics to […]
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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.
Sharp decay for Teukolsky equation in Kerr spacetimes
Abstract: Teukolsky equation in Kerr spacetimes governs the dynamics of the spin $s$ components, $s=0, \pm 1, \pm 2$ corresponding to the scalar field, the Maxwell field, and the linearized […]
On Curvature Propagation and ‘Breakdown’ of the Einstein Equations on U(1) Symmetric Spacetimes
strong>Abstract: The analysis of global structure of the Einstein equations for general relativity, in the context of the initial value problem, is a difficult and intricate mathematical subject. Any additional structure in their […]
Kerr Geodesics and Self-consistent match between Inspiral and Transition-to-merger
Abstract: The two-body motion in General Relativity can be solved perturbatively in the small mass ratio expansion. Kerr geodesics describe the leading order motion. After a short summary of the classification […]
Low regularity ill-posedness for 3D elastic waves and for 3D ideal compressible MHD driven by shock formation
Abstract: We construct counterexamples to the local existence of low-regularity solutions to elastic wave equations and to the ideal compressible magnetohydrodynamics (MHD) system in three spatial dimensions (3D). Inspired by the […]
Dihedral ridigity and mass
Abstract: To characterise scalar curvature, Gromov proposed the dihedral rigidity conjecture which states that a positively curved polyhedron having dihedral angles less than those of a corresponding flat polyhedron should be […]
Black Hole dynamics at Large D
Abstract: I demonstrate that black hole dynamics simplifies – without trivializing – in the limit in which the number of spacetime dimensions D in which the black holes live is taken to infinity. In the strict large D limit and under certain conditions I […]
Extreme Black Holes: Anabasis and Accidental Symmetry
https://youtu.be/USKZjJ8_LI0 Speaker: Achilleas Porfyriadis, Harvard Black Hole Initiative Title: Extreme Black Holes: Anabasis and Accidental Symmetry Abstract: The near-horizon region of black holes near extremality is universally AdS_2-like. In this […]
The Einstein-flow on manifolds of negative curvature
Abstract: We consider the Cauchy problem for the Einstein equations for cosmological spacetimes, i.e. spacetimes with compact spatial hypersurfaces. Various classes of those dynamical spacetimes have been constructed and analyzed using […]
Bulk-boundary correspondence for vacuum asymptotically Anti-de Sitter spacetimes
Abstract: The AdS/CFT conjecture in physics posits the existence of a correspondence between gravitational theories in asymptotically Anti-de Sitter (aAdS) spacetimes and field theories on their conformal boundary. In this presentation, we prove rigorous […]
Rough solutions of the $3$-D compressible Euler equations
Abstract: I will talk about my work on the compressible Euler equations. We prove the local-in-time existence the solution of the compressible Euler equations in $3$-D, for the Cauchy data of […]
Black Hole Spectroscopy
Abstract: According to general relativity, the remnant of a binary black hole merger should be a perturbed Kerr black hole. Perturbed Kerr black holes emit “ringdown” radiation which is well described […]