Area-charge inequalities and rigidity of time-symmetric initial data sets
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908454692585472 |
|---|---|
| author | Cruz, Tiarlos Mendes, Abraão |
| author_facet | Cruz, Tiarlos Mendes, Abraão |
| contents | In this paper, we establish new area-charge inequalities for the boundary of time-symmetric Einstein-Maxwell initial data sets, in both compact and noncompact cases, under the dominant energy condition. These inequalities lead to novel rigidity theorems with no analogues in the uncharged setting. In the noncompact case, our result is obtained by applying Gromov's $μ$-bubble technique in a new geometric context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13040 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Area-charge inequalities and rigidity of time-symmetric initial data sets Cruz, Tiarlos Mendes, Abraão General Relativity and Quantum Cosmology Differential Geometry In this paper, we establish new area-charge inequalities for the boundary of time-symmetric Einstein-Maxwell initial data sets, in both compact and noncompact cases, under the dominant energy condition. These inequalities lead to novel rigidity theorems with no analogues in the uncharged setting. In the noncompact case, our result is obtained by applying Gromov's $μ$-bubble technique in a new geometric context. |
| title | Area-charge inequalities and rigidity of time-symmetric initial data sets |
| topic | General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2507.13040 |