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Possible wormholes in a brane world

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arxiv gr-qc/0212112 v1 pith:6FIF3WJK submitted 2002-12-27 gr-qc hep-th

K.A. Bronnikov , Sung-Won Kim This is my paper · ORCID
classification gr-qchep-th
keywords branearbitrarymetricspossiblesymmetricworldwormholewormholes
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The condition R=0, where R is the four-dimensional scalar curvature, is used for obtaining a large class (with an arbitrary function of r) of static, spherically symmetric Lorentzian wormhole metrics. The wormholes are globally regular and traversable, can have throats of arbitrary size and can be both symmetric and asymmetric. These metrics may be treated as possible wormhole solutions in a brane world since they satisfy the vacuum Einstein equations on the brane where effective stress-energy is induced by interaction with the bulk gravitational field. Some particular examples are discussed.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 282 citations worldwide. Full citation record

  1. Stationary generalizations for the vacuum ring wormhole

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Numerical non-perturbative stationary vacuum ring wormhole solutions invariant under throat reflections, with slow-rotation M ~ J^2, fast-rotation J = M^2, and limits mimicking extremal Kerr.

  2. Transition from Regular Black Holes to Wormholes in Covariant Effective Quantum Gravity: Scattering, Quasinormal Modes, and Hawking Radiation

    gr-qc 2025-02 conditional novelty 6.0 of 10

    For a quantum-corrected spacetime, the fundamental quasinormal mode differs little from Schwarzschild, higher overtones deviate significantly, and wormhole states have extremely long-lived modes.

  3. Geodesic dynamics in brane-de Sitter wormholes

    gr-qc 2025-04 conditional novelty 5.0 of 10

    For an asymptotically de Sitter brane wormhole, the throat is shown to be an unstable fixed point and photon sphere, with a claimed Bogdanov-Takens bifurcation for radial null geodesics.

  4. Vector wormholes as conduits for matter interaction

    gr-qc 2024-12 conditional novelty 5.0 of 10

    Massive one-form fields, with a reconstructed self-interacting potential, can support traversable wormholes while ordinary matter in a specially tuned case satisfies all classical energy conditions.

  5. Wormhole geometries in modified gravity

    gr-qc 2024-12

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