Speaker
Eugene Kur
(University of California, Berkeley)
Description
I will discuss multisymplectic geometry and its application to finite spacetime regions. This allows one to perform a 3+1 decomposition where the spatial slice need not be a Cauchy surface. I show how this can lead to a modification of the symplectic structure, Hamilton's principle function, and momentum maps (conserved charges). Such modifications are in the form of boundary terms which can arise from non-trivial boundary conditions at the edge of the spatial slice. I show how this can be applied to evolution in the presence of a black hole and how we can reproduce Wald's derivation of the first law of black hole thermodynamics using the modified conserved charges.
Author
Eugene Kur
(University of California, Berkeley)
