Numerical Simulations for ultra-relativistic dissipative fluids in General Relativity

RUBIO, M. E; REULA, OSCAR A.

Trieste

Workshop; ICTP School on Geometry and Gravity; 2019

We present a novel theory for utrarelativistic fluids,which is invariant under conformal transformations of the backgroundmetric tensor. We show that such a theory is symmetric-hyperbolic, whichimplies that it has a well-posed initial value problem, and studycausality and stability of equillibrium states. Finally, we comment on aoriginal way for numerically evolve this class of theories, focusing onthe difficulties that appear during evolution, and show some simulationsat short and long times, within different dissipative regimes. This systemcan be directly adapted for simulating astrophysical fluid systems aroundcompact objects like rotating black holes.