Analytic discrete self-similar solutions of Einstein-Klein-Gordon at large D
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909996447432704 |
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| author | Ecker, Christian Ecker, Florian Grumiller, Daniel |
| author_facet | Ecker, Christian Ecker, Florian Grumiller, Daniel |
| contents | Discretely self-similar solutions govern critical gravitational collapse and have been known only numerically since Choptuik's pioneering work. We construct, in closed analytic form, an infinite family of such solutions of the Einstein-massless-Klein-Gordon system using the large-D expansion. We characterize their structure and compare them with numerical critical solutions at finite D, identifying both universal features and distinctly large-D behavior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14358 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytic discrete self-similar solutions of Einstein-Klein-Gordon at large D Ecker, Christian Ecker, Florian Grumiller, Daniel General Relativity and Quantum Cosmology High Energy Physics - Theory Discretely self-similar solutions govern critical gravitational collapse and have been known only numerically since Choptuik's pioneering work. We construct, in closed analytic form, an infinite family of such solutions of the Einstein-massless-Klein-Gordon system using the large-D expansion. We characterize their structure and compare them with numerical critical solutions at finite D, identifying both universal features and distinctly large-D behavior. |
| title | Analytic discrete self-similar solutions of Einstein-Klein-Gordon at large D |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.14358 |