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Self--gravitating cosmic rings

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abstract

The classical Einstein--Maxwell field equations admit static horizonless wormhole solutions with only a circular cosmic string singularity. We show how to extend these static solutions to exact rotating asymptotically flat solutions. For a suitable range of parameter values, these solutions describe charged or neutral rotating closed cosmic strings, with a perimeter of the order of their Schwarzschild radius.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Stationary generalizations for the vacuum ring wormhole

gr-qc · 2026-05-26 · unverdicted · novelty 6.0

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.

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  • Stationary generalizations for the vacuum ring wormhole gr-qc · 2026-05-26 · unverdicted · none · ref 53 · internal anchor

    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.