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arXiv · 2310.19900

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

Jarosław Kopiński·Alberto Soria·Juan A. Valiente Kroon
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Abstract

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.

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Jarosław Kopiński, Alberto Soria, Juan A. Valiente Kroon. 2023-10-30. New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface. https://doi.org/10.1063/5.0185930

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