تقرير
Fixing the dynamical evolution of self-interacting vector fields
| العنوان: | Fixing the dynamical evolution of self-interacting vector fields |
|---|---|
| المؤلفون: | Rubio, Marcelo E., Lara, Guillermo, Bezares, Miguel, Crisostomi, Marco, Barausse, Enrico |
| سنة النشر: | 2024 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | Numerical simulations of the Cauchy problem for self-interacting massive vector fields often face instabilities and apparent pathologies. We explicitly demonstrate that these issues, previously reported in the literature, are actually due to the breakdown of the well-posedness of the initial-value problem. This is akin to shortcomings observed in scalar-tensor theories when derivative self-interactions are included. Building on previous work done for k-essence, we characterize the well-posedness breakdowns, differentiating between Tricomi and Keldysh-like behaviors. We show that these issues can be avoided by ``fixing the equations'', enabling stable numerical evolutions in spherical symmetry. Additionally, we show that for a class of vector self-interactions, no Tricomi-type breakdown takes place. Finally, we investigate initial configurations for the massive vector field which lead to gravitational collapse and the formation of black holes. Comment: 13 pages, 6 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.08774 |
| رقم الأكسشن: | edsarx.2407.08774 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |