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Geodesic motion in Euclidean Schwarzschild geometry

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arxiv 2202.03763 v3 pith:LW6OTIX3 submitted 2022-02-08 gr-qc hep-th

Emmanuele Battista , Giampiero Esposito This is my paper · ORCID
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keywords orbitseuclideangeodesicgeometrymotionschwarzschildunboundedallowed
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This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motion is obtained in terms of incomplete elliptic integrals of first, second and third kind. No elliptic-like orbits exist in Euclidean Schwarzschild geometry, unlike the corresponding Lorentzian pattern. Among unbounded orbits, only unbounded first-kind orbits are allowed, unlike general relativity where unbounded second-kind orbits are always allowed.

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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. Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes

    gr-qc 2025-07 reject novelty 5.0 of 10

    In the Lorentzian-Euclidean black hole, photons and massive particles are claimed to be unable to cross the event horizon, making the spacetime geodesically complete and avoiding the central singularity.

  2. Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm

    gr-qc 2025-02 reject novelty 5.0 of 10

    A covariant Moore-Penrose algorithm for complex degenerate metrics is formulated, but its uniqueness and torsion interpretation depend on an arbitrary auxiliary metric and the central proof is incomplete.

  3. Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.

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