The well-posedness of the Cauchy problem for self-interacting vector
fields
The well-posedness of the Cauchy problem for self-interacting vector
fields
We point out that the initial-value (Cauchy) problem for self-interacting vector fields presents the same well-posedness issues as for first-order derivative self-interacting scalar fields (often referred to as $k$-essence). For the latter, suitable strategies have been employed in the last few years to successfully evolve the Cauchy problem at the …