Speaker
Dr
Marcelo Rubio
Description
I will discuss the Cauchy problem for self-interacting massive vector fields, often facing instabilities and apparent pathologies when performing numerical simulations. After showing that these issues are due to the breakdown of the well-posedness of the initial-value problem, I will show how the pathologies can be classified, building on previous work done for 𝑘-essence, and how these issues can be avoided by "fixing the equations”, enabling stable numerical evolutions in spherical symmetry. Finally, I will display initial configurations for the massive vector field which lead to gravitational collapse and the formation of black holes in theories with cubic self-interactions.
