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New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface

Journal of Mathematical Physics, ISSN: 0022-2488, Vol: 65, Issue: 4
2024
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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.

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