Speaker
Dr
Marcelo Rubio
(Gran Sasso Science Institute (GSSI))
Description
I will discuss the Cauchy problem of self-interacting massive vector fields, and explain why they often face instabilities and apparent pathologies. After showing that these issues are due to the breakdown of the well-posedness of the corresponding initial-value problem, I will characterize the well-posedness breakdowns and explicity show that they can be avoided by fixing the equations in a suitable way. As an application, I will numerically show that no Tricomi-type breakdown takes place in the quadratic case, and investigate initial configurations which lead to gravitational collapse and the formation of black holes.
Primary author
Dr
Marcelo Rubio
(Gran Sasso Science Institute (GSSI))
