Maximum force conjecture in curved spacetimes of stable self-gravitating matter configurations
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915089181835264 |
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| author | Hod, Shahar |
| author_facet | Hod, Shahar |
| contents | Gibbons and Schiller have raised the physically interesting conjecture that forces in general relativity are bounded from above by the mathematically compact relation ${\cal F}\leq c^4/4G$. In the present compact paper we explicitly prove, using the non-linearly coupled Einstein-matter field equations, that the force function ${\cal F}\equiv 4πr^2 p(r)$ in {\it stable} self-gravitating horizonless matter configurations is characterized by the upper bound ${\cal F}\leq c^4/G$ [here $p(r)$ is the radial pressure inside the self-gravitating matter configuration]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01497 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Maximum force conjecture in curved spacetimes of stable self-gravitating matter configurations Hod, Shahar General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory Gibbons and Schiller have raised the physically interesting conjecture that forces in general relativity are bounded from above by the mathematically compact relation ${\cal F}\leq c^4/4G$. In the present compact paper we explicitly prove, using the non-linearly coupled Einstein-matter field equations, that the force function ${\cal F}\equiv 4πr^2 p(r)$ in {\it stable} self-gravitating horizonless matter configurations is characterized by the upper bound ${\cal F}\leq c^4/G$ [here $p(r)$ is the radial pressure inside the self-gravitating matter configuration]. |
| title | Maximum force conjecture in curved spacetimes of stable self-gravitating matter configurations |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.01497 |