Localized Big Bang Stability of Spacetime Dimensions $n\geq4$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918335195643904 |
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| author | Zheng, Weihang |
| author_facet | Zheng, Weihang |
| contents | We prove the past nonlinear stability of the sub-critical Kasner-scalar field solutions to the Einstein-scalar field equations on a truncated cone domain in spacetime dimensions $n\geq4$. Our analysis demonstrates that the perturbed solutions are asymptotically pointwise Kasner, geodesically incomplete in the contracting direction and terminate at quiescent and crushing singularities characterized by the blow-up of curvature invariants. This work generalizes the result of Beyer-Oliynyk-Zheng in [arXiv:2502.09210v2] to all higher dimensional spacetimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_21677 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Localized Big Bang Stability of Spacetime Dimensions $n\geq4$ Zheng, Weihang Analysis of PDEs General Relativity and Quantum Cosmology Mathematical Physics We prove the past nonlinear stability of the sub-critical Kasner-scalar field solutions to the Einstein-scalar field equations on a truncated cone domain in spacetime dimensions $n\geq4$. Our analysis demonstrates that the perturbed solutions are asymptotically pointwise Kasner, geodesically incomplete in the contracting direction and terminate at quiescent and crushing singularities characterized by the blow-up of curvature invariants. This work generalizes the result of Beyer-Oliynyk-Zheng in [arXiv:2502.09210v2] to all higher dimensional spacetimes. |
| title | Localized Big Bang Stability of Spacetime Dimensions $n\geq4$ |
| topic | Analysis of PDEs General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2601.21677 |