Help Privacy Policy Disclaimer
  Advanced SearchBrowse




Journal Article

The well-posedness of the Cauchy problem for self-interacting vector fields


Lara Delgado,  Jose Guillermo
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

(Preprint), 99KB

Supplementary Material (public)
There is no public supplementary material available

Barausse, E., Bezares, M., Crisostomi, M., & Lara Delgado, J. G. (2022). The well-posedness of the Cauchy problem for self-interacting vector fields. Journal of Cosmology and Astroparticle Physics, 2022(11): 050. doi:10.1088/1475-7516/2022/11/050.

Cite as: https://hdl.handle.net/21.11116/0000-000C-347A-1
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 level of the infrared theory,
without the need for an explicit ultraviolet completion. We argue that the very
same techniques can also be applied to self-interacting vector fields, avoiding
a number of issues and "pathologies" recently found in the literature.