Approaching Wonderland
| Autor: | Normann, Ben David, Hervik, Sigbjørn |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Class. Quantum Grav. 37 (2020) 085002 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1361-6382/ab719b |
| Popis: | Continuing previous work, we show the existence of stable, anisotropic future attractors in Bianchi invariant sets with a $p$-form field ($p\,\in\,\{1,3\}$) and a perfect fluid. In particular, we consider the not previously investigated Bianchi invariant sets $\mathcal{B}$(II), $\mathcal{B}$(IV), $\mathcal{B}$(VII$_0$) and $\mathcal{B}$(VII$_{h})$ and examine their asymptotic behaviour. We find that the isolated equilibrium set Wonderland is a future attractor on all of its existence ($2/3<\,\gamma\,<2$) in all these sets except in $\mathcal{B}$(II), where the peculiar equilibrium sets Edge and Rope show up, taking over the stability for certain values of $\gamma$. In addition, in $\mathcal{B}$(IV) and $\mathcal{B}$(VII$_h$) plane gravitational wave solutions (with a non-zero $p$-form) serve as attractors whenever $2/3<\,\gamma\,<2$. Comment: 42 pages, 6 figures |
| Databáze: | arXiv |
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