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VERSION:2.0
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BEGIN:VEVENT
SUMMARY:Simulations of the Einstein-Maxwell system
DTSTART:20250314T160000Z
DTEND:20250314T180000Z
DTSTAMP:20260617T195519Z
UID:a40afd4e-5909-43f8-99e9-60e5614bdc89
SEQUENCE:2
CREATED:20250314T102639Z
DESCRIPTION:Electromagnetism plays an important role in a variety of appli
 cations in gravity. To that end\, in this talk\, we present an implementat
 ion of the Maxwell equations within the adaptive-mesh pseudospectral numer
 ical relativity code \\textsc{bamps}. We present a thorough analysis of th
 e evolution equations as a first order symmetric hyperbolic system of PDEs
 \, including the construction of the characteristic variables for use in o
 ur penalty boundary communication scheme\, and radiation\, constraint pres
 erving outer boundary conditions which\, in the language of Kreiss-Agranov
 ich-Metivier\, are shown to be boundary-stable. After presenting a formula
 tion of the Maxwell constraints that we may solve for initial data\, we mo
 ve on to present a suite of numerical tests. Our simulations\, both within
  the Cowling approximation\, and in full non-linear evolution\, demonstrat
 e rapid convergence of error with resolution\, as well as consistency with
  known quasinormal decay rates on the Kerr background. Finally we present 
 evolutions of the electrovacuum equations of motion with strong data\, a g
 ood representation of typical critical collapse runs.
LAST-MODIFIED:20250314T102701Z
LOCATION:Online
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/simulations-of-the-einstei
 n-maxwell-system/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="7mghh">Electromagnetism pl
 ays an important role in a variety of applications in gravity. To that end
 \, in this talk\, we present an implementation of the Maxwell equations wi
 thin the adaptive-mesh pseudospectral numerical relativity code \\textsc{b
 amps}. We present a thorough analysis of the evolution equations as a firs
 t order symmetric hyperbolic system of PDEs\, including the construction o
 f the characteristic variables for use in our penalty boundary communicati
 on scheme\, and radiation\, constraint preserving outer boundary condition
 s which\, in the language of Kreiss-Agranovich-Metivier\, are shown to be 
 boundary-stable.<br/><br/> After presenting a formulation of the Maxwell c
 onstraints that we may solve for initial data\, we move on to present a su
 ite of numerical tests. Our simulations\, both within the Cowling approxim
 ation\, and in full non-linear evolution\, demonstrate rapid convergence o
 f error with resolution\, as well as consistency with known quasinormal de
 cay rates on the Kerr background. Finally we present evolutions of the ele
 ctrovacuum equations of motion with strong data\, a good representation of
  typical critical collapse runs.</p>
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