New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909171066077184 |
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| author | Kopiński, Jarosław Soria, Alberto Kroon, Juan A. Valiente |
| author_facet | Kopiński, Jarosław Soria, Alberto Kroon, Juan A. Valiente |
| contents | We prove a new geometric inequality that relates the Arnowitt-Deser-Misner mass of initial data to a quasilocal angular momentum of a marginally future trapped surface inner boundary. The inequality is expressed in terms of a 1-spinor, which satisfies an intrinsic first-order Dirac-type equation. Furthermore, we show that if the initial data is axisymmetric, then the divergence-free vector used to define the quasilocal angular momentum cannot be a Killing field of the generic boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19900 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface Kopiński, Jarosław Soria, Alberto Kroon, Juan A. Valiente General Relativity and Quantum Cosmology Mathematical Physics We prove a new geometric inequality that relates the Arnowitt-Deser-Misner mass of initial data to a quasilocal angular momentum of a marginally future trapped surface inner boundary. The inequality is expressed in terms of a 1-spinor, which satisfies an intrinsic first-order Dirac-type equation. Furthermore, we show that if the initial data is axisymmetric, then the divergence-free vector used to define the quasilocal angular momentum cannot be a Killing field of the generic boundary. |
| title | New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2310.19900 |