Instability of Slowly Expanding FLRW Spacetimes
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908355263463424 |
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| author | Marshall, Elliot |
| author_facet | Marshall, Elliot |
| contents | We numerically study, under a Gowdy symmetry assumption, nonlinear perturbations of the decelerated FLRW fluid solutions to the Einstein-Euler system toward the future for linear equations of state $p=Kρ$ with $0\leq K\leq 1$. This article builds on the work of Fajman et al. (2024 arXiv:2405.03431) in which perturbations of the homogeneous fluid solution on a fixed, decelerating FLRW background were studied. Our numerical results show that for all values of $K$, perturbations of the FLRW solution develop shocks in finite time. This behaviour contrasts known results for spacetimes with accelerated expansion in which shock formation is suppressed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_08095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Instability of Slowly Expanding FLRW Spacetimes Marshall, Elliot General Relativity and Quantum Cosmology We numerically study, under a Gowdy symmetry assumption, nonlinear perturbations of the decelerated FLRW fluid solutions to the Einstein-Euler system toward the future for linear equations of state $p=Kρ$ with $0\leq K\leq 1$. This article builds on the work of Fajman et al. (2024 arXiv:2405.03431) in which perturbations of the homogeneous fluid solution on a fixed, decelerating FLRW background were studied. Our numerical results show that for all values of $K$, perturbations of the FLRW solution develop shocks in finite time. This behaviour contrasts known results for spacetimes with accelerated expansion in which shock formation is suppressed. |
| title | Instability of Slowly Expanding FLRW Spacetimes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2502.08095 |