Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularites
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917921624686592 |
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| author | Beyer, Florian Oliynyk, Todd A. |
| author_facet | Beyer, Florian Oliynyk, Todd A. |
| contents | We establish, in spacetime dimensions $n\geq 3$, the nonlinear stability in the contracting direction of Friedmann-Lemaître-Robertson-Walker (FLRW) solutions to the Einstein-Euler-scalar field equations with linear equations of state $P=c_s^2 ρ$ for sounds speeds $c_s$ satisfying $1/(n-1)<c_s^2 < 1$. We further show that nonlinear perturbations of the FLRW solutions are asymptotically pointwise Kasner and terminate in crushing, asymptotically velocity term dominated (AVTD) big bang singularities characterised by curvature blow-up. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_07475 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularites Beyer, Florian Oliynyk, Todd A. General Relativity and Quantum Cosmology We establish, in spacetime dimensions $n\geq 3$, the nonlinear stability in the contracting direction of Friedmann-Lemaître-Robertson-Walker (FLRW) solutions to the Einstein-Euler-scalar field equations with linear equations of state $P=c_s^2 ρ$ for sounds speeds $c_s$ satisfying $1/(n-1)<c_s^2 < 1$. We further show that nonlinear perturbations of the FLRW solutions are asymptotically pointwise Kasner and terminate in crushing, asymptotically velocity term dominated (AVTD) big bang singularities characterised by curvature blow-up. |
| title | Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularites |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.07475 |