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arxiv: gr-qc/9810079 · v1 · submitted 1998-10-26 · 🌀 gr-qc

The Levi-Civita spacetime as a limiting case of the Gamma spacetime

classification 🌀 gr-qc
keywords metricgammalevi-civitaspacetimeappearscasefamilyfundamental
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It is shown that the Levi-Civita metric can be obtained from a family of the Weyl metric, the Gamma metric, by taking the limit when the length of its Newtonian image source tends to infinity. In this process a relationship appears between two fundamental parameters of both metrics.

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  1. Periodic orbits and their gravitational wave radiations in $\gamma$-metric

    gr-qc 2025-11 unverdicted novelty 5.0

    Deviations from γ=1 in the Zipoy-Voorhees metric shift the (z,w,v) classification of periodic orbits and induce phase shifts plus amplitude modulations in their gravitational-wave signals.