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Exact solution for a traversable wormhole in a curvature-coupled antisymmetric background field

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arxiv 2110.12202 v2 pith:WPLDAGYJ submitted 2021-10-23 gr-qc

R. V. Maluf , C. R. Muniz This is my paper · ORCID
classification gr-qc
keywords wormholeantisymmetricbackgroundfieldfluidkappalambdamatter
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abstract

In this work, we study a traversable wormhole sourced by an ideal matter fluid with an antisymmetric 2-tensor background field coupled to gravity in a scenario of spontaneously broken Lorentz symmetry. Contrary to employed in the literature, we use a nonminimal curvature-coupling term $B^{\mu\nu}B^{\kappa\lambda}R_{\mu\nu\kappa\lambda}$ which incorporates all three kinds of Lorentz-violating coefficient for the pure-gravity sector of the minimal standard-model extension. We find that the wormhole is non-asymptotically globally flat and determine the allowed parameters of the theory, showing that the matter fluid must be necessarily anisotropic. We also analyze the energy conditions, checking their validity range and comparing them with those predicted by general relativity.

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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. Charged Black Holes with a Lorentz--Violating Kalb--Ramond Background

    gr-qc 2026-08 conditional novelty 5.0 of 10

    Exact charged black hole solutions in a Lorentz-violating Kalb-Ramond gravity with both nonminimal curvature couplings, together with their thermodynamic and topological phase structure.

  2. Black hole with global monopole charge in self-interacting Kalb-Ramond field

    gr-qc 2025-01 reject novelty 5.0 of 10

    A black hole solution combining a Kalb-Ramond field and a global monopole is presented, but the claimed solar system constraints on its parameters are inconsistent with the derived formulas.

  3. Optical Appearance and Shadow of Kalb-Ramond Black Hole: Effects of Plasma and Accretion Models

    gr-qc 2025-06 conditional novelty 4.0 of 10

    For a static Kalb-Ramond black hole, increasing the Lorentz-breaking parameters shrinks the shadow, while plasma shrinks the shadow but brightens it, giving tentative signatures to distinguish it from Schwarzschild.

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