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Local existence of dynamical and trapping horizons

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arxiv gr-qc/0506013 v2 pith:DJLXVAOD submitted 2005-06-02 gr-qc

Lars Andersson , Marc Mars , Walter Simon This is my paper · ORCID
classification gr-qc
keywords marginallyoutertrappedfoliationgivenhorizonspacelikestability
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Given a spacelike foliation of a spacetime and a marginally outer trapped surface S on some initial leaf, we prove that under a suitable stability condition S is contained in a ``horizon'', i.e. a smooth 3-surface foliated by marginally outer trapped slices which lie in the leaves of the given foliation. We also show that under rather weak energy conditions this horizon must be either achronal or spacelike everywhere. Furthermore, we discuss the relation between ``bounding'' and ``stability'' properties of marginally outer trapped surfaces.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 253 citations worldwide. Full citation record

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    Numerical study of cusp formation on horizons in head-on non-spinning black hole mergers, with analysis of mass and multipole behavior at the cusp and a proposed phenomenological model.

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    Quantized ingoing and outgoing null expansion operators in spherically symmetric LQG are self-adjoint with a shared continuous spectrum but differing isolated eigenvalues.

  3. Thermodynamics of Black Holes, far from Equilibrium

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    The paper derives finite, physical-process versions of the first and second laws of black hole thermodynamics for dynamical horizon segments, extending the first law to black holes arbitrarily far from equilibrium.

  4. Charged cosmological black holes: a thorough study of a family of solutions

    gr-qc 2019-08 conditional novelty 6.0 of 10

    The Shah-Vaidya charged cosmological black hole metric is shown to be an exact solution of Einstein-Maxwell equations with a cuscuton field, and its causal structure is classified into four parameter regions with diff...

  5. Interior marginally outer trapped surfaces in Hayward black holes

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Interior MOTS in Hayward black holes are located via the b-parameter metric, with self-intersecting pairs identified and positions near the inner horizon given by hypergeometric functions from a singular Sturm-Liouvil...

  6. Convex foliations and trapped submanifolds

    gr-qc 2026-06 unverdicted novelty 3.0 of 10

    Tests in symmetrically collapsing spacetimes and the full sub-extreme Kerr-Newman family support the conjecture that compact trapped submanifolds of codimension >1 stay inside black holes and do not reach the domain o...

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