AT2  
Speaker 
Kiessling, Michael 
Coauthors 
TahvildarZadeh, A. Shadi 
Talk Title 
On The Classical Motion Of Charged Point Particles 
Abstract 
In their famous 1938 Annals of Mathematics paper: `The Gravitational Equations and the Problem of Motion,' Einstein, Infeld, and Hoffmann claimed that the field equations of general relativity theory alone determine the equations of motion of matter particles, viewed as naked pointsingularities in spacelike slices of spacetime. Their claim was generalized to charged naked pointsingularities by Infeld's student Wallace in 1941. Although nonrigorous and full of questionable assumptions, these works have become the template of many followup studies, in particular the computation of gravitational wave signals and their feedback on the motion of the sources. This talk surveys our rigorous understanding of the classical joint initial value problem for N pointcharges and their electromagnetic fields in special and general relativity. The presentation includes a specialrelativistic local wellposedness theorem, proved jointly with A. Shadi TahvildarZadeh, which uses an electromagnetic vacuum law that avoids the infinity problems of the MaxwellLorentz field equations. It also outlines an ongoing joint project with A. S. T.Z. and Annegret Burtscher, in which a welldefined general relativistic formulation of the problem is laid out, one that still awaits rigorous treatment. 
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