Jul 20 – 24, 2015
Frankfurt Institute for Advanced Studies
Europe/Berlin timezone

Black Hole Entropy From Multisymplectic Geometry

Jul 21, 2015, 3:00 PM
20m
Frankfurt Institute for Advanced Studies

Frankfurt Institute for Advanced Studies

Goethe-Universität FrankfurtCampus Riedberg Ruth-Moufang-Straße 1 60438 Frankfurt am Main GERMANY

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.

Primary author

Eugene Kur (University of California, Berkeley)

Presentation materials