Pith. sign in

REVIEW 5 cited by

Computation of Lyapunov Exponents in General Relativity

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv gr-qc/0302118 v2 pith:4DREMP6L submitted 2003-02-28 gr-qc

Xin Wu , Tian-yi Huang This is my paper · ORCID
classification gr-qc
keywords coordinatedefinitionexponentsgeneralinvariantlyapunovrelativityspacetime
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Lyapunov exponents (LEs) are key indicators of chaos in dynamical systems. In general relativity the classical definition of LE meets difficulty because it is not coordinate invariant and spacetime coordinates lose their physical meaning as in Newtonian dynamics. We propose a new definition of relativistic LE and give its algorithm in any coordinate system, which represents the observed changing law of the space separation between two neighboring particles (an 'observer' and a 'neighbor'), and is truly coordinate invariant in a curved spacetime.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

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

  1. Time-reversed Shannon entropy as a chaos indicator for non-integrable systems

    gr-qc 2026-01 unverdicted novelty 6.0 of 10

    Time-reversed Shannon entropy distinguishes chaotic from regular orbits in Kerr and Schwarzschild-Melvin spacetimes by quantifying forward-backward asymmetry in probability distributions.

  2. Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Numerical chaos indicators applied to the Schwarzschild-Bertotti-Robinson-Bonnor-Melvin family show that chaos occurs without swirling and that electromagnetic field strengths and directions tightly restrict bound orbits.

  3. Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime

    gr-qc 2024-12 conditional novelty 5.0 of 10

    Mutual information between two nearby particle trajectories distinguishes regular from chaotic orbits in Schwarzschild and Kerr spacetimes, matching the fast Lyapunov indicator.

  4. Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field

    gr-qc 2026-07 unverdicted novelty 4.0 of 10

    Exact black hole solution with anisotropic matter and magnetic field shows the matter parameter reduces local chaos (Lyapunov exponent) while the magnetic field drives qualitative shifts in global chaos (Poincaré sections).

  5. Chaos dynamics of charged particles near Gibbons-Maeda-Garfinkle-Horowitz-Strominger black holes

    hep-th 2025-07 reject novelty 4.0 of 10

    Charged particle orbits around GMGHS dilaton black holes transition from ordered to chaotic as the black hole charge or magnetic charge parameter increases.

Pith tools