New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
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Volume
65
DOI
10.1063/5.0185930
Journal
Journal of Mathematical Physics
Issue
ISSN
0022-2488
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Show full item recordAbstract
We prove a new geometric inequality that relates the Arnowitt-Deser-Misner mass of initial data to a quasilocal angular momentum of a marginally outer trapped surface (MOTS) 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.
Authors
Kopiński, J; Soria, A; Valiente Kroon, JACollections
- Mathematics [1473]