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Casimir Wormholes with GUP Correction in the Loop Quantum Cosmology

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arxiv 2406.08250 v1 pith:CFF2AEMN submitted 2024-06-12 gr-qc

classification gr-qc
keywords quantumspacetimeconditionswormholecasimircosmologyenergyloop
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In this paper, we obtain novel traversable, static, and spherically symmetric wormhole solutions, derived from the effective energy density and isotropic pressure resulting from the Casimir effect, corrected by the Generalized Uncertainty Principle (GUP) within the framework of Loop Quantum Cosmology (LQC). The goal is to explore the interplay between competing quantum gravity effects and quantum vacuum phenomena in the emergence of non-trivial spacetime structures. We examine features such as traversability, embedding diagrams, energy conditions, curvature, and stability of the obtained solutions. Additionally, we analyze the junction conditions required to integrate the wormhole spacetime with an external Schwarzschild spacetime and calculate the amount of exotic matter needed to maintain the wormhole. Finally, we evaluate the conditions under which this latter remains visible or is hidden by the event horizon associated with the Schwarzschild spacetime.

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Cited by 2 Pith papers

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

  1. Field Sources for Wormholes With Multiple Throats/Anti-throats

    gr-qc 2024-12 conditional novelty 4.0 of 10

    For a wormhole metric with multiple throats and anti-throats, the authors build explicit phantom-scalar-plus-nonlinear-electrodynamics sources and show the energy conditions can hold locally near the center.

  2. Traversable Wormholes Sourced by Dark Matter in Loop Quantum Cosmology

    gr-qc 2024-11 conditional novelty 4.0 of 10

    Loop quantum cosmology corrections allow NFW, pseudo-isothermal, and perfect-fluid dark matter profiles to source traversable wormholes, with the NFW model's shadow matching M87 for omega about 0.025.

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