Hyperbolic Mass in 2+1 Dimensions
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914015293210624 |
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| author | Wutte, Raphaela |
| author_facet | Wutte, Raphaela |
| contents | This short review surveys mass for two-dimensional asymptotically locally hyperbolic initial data sets. I explain the difficulties in defining mass in spatial dimension two, which are resolved via minimisation using a positive energy theorem, and review how gluing theorems can be used to construct novel initial data sets with controlled mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_00994 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperbolic Mass in 2+1 Dimensions Wutte, Raphaela General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry This short review surveys mass for two-dimensional asymptotically locally hyperbolic initial data sets. I explain the difficulties in defining mass in spatial dimension two, which are resolved via minimisation using a positive energy theorem, and review how gluing theorems can be used to construct novel initial data sets with controlled mass. |
| title | Hyperbolic Mass in 2+1 Dimensions |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2509.00994 |