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Constraining the number of horizons with energy conditions

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arxiv 2104.03012 v2 pith:PLL77R3C submitted 2021-04-07 gr-qc hep-th

Run-Qiu Yang , Rong-Gen Cai , Li Li This is my paper · ORCID
classification gr-qchep-th
keywords blackenergyhorizonshorizonnumberstaticconditionconditions
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We show that the number of horizons of static black holes can be strongly constrained by energy conditions of matter fields. After a careful clarification on the "interior" of a black hole, we prove that if the interior of a static black hole satisfies strong energy condition or null energy condition, there is at most one non-degenerated inner Killing horizon behind the non-degenerated event horizon. Our result offers some universal restrictions on the number of horizons. Interestingly and importantly, it also suggests that matter not only promotes the formation of event horizon but also prevents the appearance of multiple horizons inside black holes. Furthermore, using the geometrical construction, we obtain a radially conserved quantity which is valid for general static spacetimes.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity

    gr-qc 2026-08 accept novelty 6.0 of 10

    In spherical f(R) gravity, a regular outer horizon followed by an ingoing segment with mixed matter-scalaron source at or below F/r^2 cannot be followed by a second regular inner marginal horizon on the same generator.

  2. Can we distinguish whether black holes have singularities or not through echoes and light rings?

    gr-qc 2025-05 conditional novelty 5.0 of 10

    In the Bardeen and Hayward black hole families, the singular type II branch can have two light rings and echo-like quasinormal signals, while regular black holes have one light ring.

  3. On static and rotating decoupled black holes without inner horizons

    gr-qc 2024-12 conditional novelty 4.0 of 10

    The authors construct a family of static and rotating black hole metrics with an extra 1/r^n hair that, for negative hair parameter, removes the Cauchy horizon and makes the central singularity spacelike.

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