Instability thresholds for de Sitter and Minkowski spacetimes in holographic semiclassical gravity
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| author | Ishibashi, Akihiro Maeda, Kengo Okamura, Takashi |
| author_facet | Ishibashi, Akihiro Maeda, Kengo Okamura, Takashi |
| contents | We study the stability of $d$-dimensional ($d=3,4,5$) de Sitter and Minkowski spacetimes within the framework of semiclassical gravity sourced by a strongly coupled quantum field with a gravity dual. Our stability results are derived from a careful analysis of the $d$-dimensional Lichnerowicz equation with mass-squared $m^2$ and of semiclassical equations involving the dimensionless parameter $γ_d$. For $d=3$, we find that Minkowski spacetime is always unstable against perturbations, whereas de Sitter spacetime becomes stable when a dimensionless parameter $γ_3$ exceeds a critical value. In $d=4$, both de Sitter and Minkowski spacetimes become unstable when the parameter $γ_4$ exceeds its critical value. In contrast, in $d=5$, de Sitter and Minkowski spacetimes remain stable for almost all values of the parameter $γ_5$, except for a regime in which higher-curvature corrections become comparable to the Einstein tensor. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_00503 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Instability thresholds for de Sitter and Minkowski spacetimes in holographic semiclassical gravity Ishibashi, Akihiro Maeda, Kengo Okamura, Takashi High Energy Physics - Theory General Relativity and Quantum Cosmology We study the stability of $d$-dimensional ($d=3,4,5$) de Sitter and Minkowski spacetimes within the framework of semiclassical gravity sourced by a strongly coupled quantum field with a gravity dual. Our stability results are derived from a careful analysis of the $d$-dimensional Lichnerowicz equation with mass-squared $m^2$ and of semiclassical equations involving the dimensionless parameter $γ_d$. For $d=3$, we find that Minkowski spacetime is always unstable against perturbations, whereas de Sitter spacetime becomes stable when a dimensionless parameter $γ_3$ exceeds a critical value. In $d=4$, both de Sitter and Minkowski spacetimes become unstable when the parameter $γ_4$ exceeds its critical value. In contrast, in $d=5$, de Sitter and Minkowski spacetimes remain stable for almost all values of the parameter $γ_5$, except for a regime in which higher-curvature corrections become comparable to the Einstein tensor. |
| title | Instability thresholds for de Sitter and Minkowski spacetimes in holographic semiclassical gravity |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.00503 |