Some geometric properties of generalized $φ$-vacuum static spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908521336930304 |
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| author | Branca, Letizia Mastrolia, Paolo Rigoli, Marco |
| author_facet | Branca, Letizia Mastrolia, Paolo Rigoli, Marco |
| contents | In this paper we study the geometry of generalized $φ$-vacuum static spaces, proving estimates for the $φ$-scalar curvature and for the first eigenvalue of the Jacobi operator, and also rigidity under various geometric assumptions; in particular, we prove a result related to the famous Cosmic no-hair conjecture of Boucher, Gibbons and Horowitz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05125 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some geometric properties of generalized $φ$-vacuum static spaces Branca, Letizia Mastrolia, Paolo Rigoli, Marco Differential Geometry In this paper we study the geometry of generalized $φ$-vacuum static spaces, proving estimates for the $φ$-scalar curvature and for the first eigenvalue of the Jacobi operator, and also rigidity under various geometric assumptions; in particular, we prove a result related to the famous Cosmic no-hair conjecture of Boucher, Gibbons and Horowitz. |
| title | Some geometric properties of generalized $φ$-vacuum static spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2509.05125 |