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DTSTART;TZID=America/New_York:20211104T130000
DTEND;TZID=America/New_York:20211104T140000
DTSTAMP:20240304T054749Z
CREATED:20240214T073728Z
LAST-MODIFIED:20240304T054749Z
UID:10002565-1636030800-1636034400@cmsa.fas.harvard.edu
SUMMARY:The stability of charged black holes
DESCRIPTION: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 solutions of the Einstein equation thanks to the interaction between gravitational and electromagnetic radiation. Such radiations are solutions of a system of coupled wave equations with a symmetric structure which allows to define a combined energy-momentum tensor for the system. Finally\, I will show how this physical-space approach is resolutive in the most general case of Kerr-Newman black hole\, where the interaction between the radiations prevents the separability in modes.
URL:https://cmsa.fas.harvard.edu/event/11-4-2021-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
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DTSTART;TZID=America/New_York:20211111T130000
DTEND;TZID=America/New_York:20211111T140000
DTSTAMP:20240304T054620Z
CREATED:20240214T074127Z
LAST-MODIFIED:20240304T054620Z
UID:10002567-1636635600-1636639200@cmsa.fas.harvard.edu
SUMMARY:Sharp decay for Teukolsky equation in Kerr spacetimes
DESCRIPTION: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 gravity\, respectively. I will discuss recent joint work with L. Zhang on proving the precise asymptotic profiles for these spin $s$ components in Schwarzschild and Kerr spacetimes.
URL:https://cmsa.fas.harvard.edu/event/11-11-2021-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20211119T130000
DTEND;TZID=America/New_York:20211119T140000
DTSTAMP:20240304T053957Z
CREATED:20240214T074604Z
LAST-MODIFIED:20240304T053957Z
UID:10002570-1637326800-1637330400@cmsa.fas.harvard.edu
SUMMARY:On Curvature Propagation and ‘Breakdown’ of the Einstein Equations on U(1) Symmetric Spacetimes
DESCRIPTION: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 formulation is welcome\, in order to alleviate the problem.  It is expected that the initial value problem of the Einstein equations on spacetimes admitting a translational\, fixed-point free\, spatial U(1) isometry group are globally well-posed. In our previous works\, we discussed the special structure provided by the dimensional reduction of 3+1 dimensional U(1) symmetric Einstein equations to 2+1 Einstein-wave map system and demonstrated global existence in the equivariant case for large data.  In this talk\, after discussing some preliminaries and background\, we shall discuss about yet another structure of the U(1) symmetric Einstein equations\, namely the analogy with Yang-Mills theory via the Cartan formalism and reconcile with the dimensionally reduced field equations. We shall also discuss implications for ‘breakdown’ criteria of U(1) symmetric Einstein equations.
URL:https://cmsa.fas.harvard.edu/event/11-19-2021-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
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