Fridays at 12:30pm, Dome Room, Peyton Hall
Friday, December 10th 2021, 12.30pm
Modeling dissipative effects in general-relativistic plasmas and beyond
Elias Most (Institute of Advanced Studies and Princeton University)
Abstract: Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Going beyond common approaches used in the literature, I will describe a fully relativistic covariant 14-moment based two-fluid system appropriate for the study of electron-ion or electron-positron plasmas. This generalized Israel-Stewart-like system of equations of motion is obtained directly from the relativistic Boltzmann-Vlasov equation. Crucially, this new formulation can account for non-ideal effects, such as anisotropic pressures and heat fluxes. Specializing to the case of non-resistive plasmas, I will present a novel numerical scheme capable of solving these equations in the strongly and weakly collisional limits.
Bridging the gap between formulations of general-relativistic plasmas and dynamical gravity, I will then present a novel reformulation of the Einstein field equations. By exploiting the Palatini formalism, I will show how these equations can be recast into a form resembling non-linear electrodynamics in a medium. Such a formulation might permit the use of advanced numerical methods, such as constraint transport, in simulations of vacuum spacetimes.
Scheduled seminars (September to December 2021)
24 Sept: Jens Mahlmann (Princeton University)
01 Oct: Bart Ripperda (Center for Computational Astrophysics and Princeton University)
08 Oct: David Hosking (Oxford University)
15 Oct: Ben Prather (University of Illinois)
29 Oct: Aaron Tran (Columbia University) and Itai Linial (The Hebrew University of Jerusalem)
05 Nov: Lorenzo Perrone (Cambridge University)
19 Nov: Fabio Bacchini (University of Colorado)
03 Dec: Elizabeth Tolman (Institute of Advanced Studies)
10 Dec: Elias Most (Institute of Advanced Studies and Princeton University)