Dec 13 – 18, 2015
International Conference Centre Geneva
Europe/Zurich timezone

Solving the Einstein-Maxwell Equations for the Dispersive Propagation of Light during Mixmaster Kasner Epochs and other Anisotropic Early-Universe Models

Dec 14, 2015, 2:21 PM
Level 2, Room 13 (International Conference Centre Geneva)

Level 2, Room 13

International Conference Centre Geneva

17 Rue de Varembé, 1211 Geneva


Brett Bochner (Hofstra University)


The pre-homogenized very early universe generically experiences Mixmaster-like behavior as it approaches the Big Bang, featuring a sequence of anisotropically expanding Kasner epochs. Beyond drawing general conclusions about the transport of mass-energy in such environments, it would be helpful to obtain as much information as possible about the detailed propagation of energy in rapidly and nonadiabatically expanding metrics for which the geometrical optics approximation substantially breaks down. Here we solve for the propagation of (“test particle”) electromagnetic fields through background spacetimes with various sets of Kasner expansion indices. In solving the Einstein-Maxwell equations, we obtain independent fourth-order differential equations for each of the electric and magnetic fields which can be individually solved for the amplitudes and phase velocities of the fields to yield interesting information about how they are parametrically driven by the asymmetrically expanding early universe. Furthermore, we consider other anisotropic (and non-vacuum) models, including metrics related to the Vaidya and Szekeres-Szafron solutions, which include inhomogeneity as well as anisotropy.

Primary author

Brett Bochner (Hofstra University)

Presentation materials