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A nonintegrable model in general relativity

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Publication:1208004
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DOI10.1007/BF02096667zbMath0774.53054WikidataQ125967489 ScholiaQ125967489MaRDI QIDQ1208004

Richard Moeckel

Publication date: 16 May 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

invariant setgeodesic flowHill's problemSchwarzschild metric


Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)


Related Items

Chaos in black holes surrounded by electromagnetic fields, Symmetries in the two-body problem associated to quasi-homogeneous potentials, GEODESICS IN THE γ SPACETIME, Complexity in spacetime and gravitation. I: From chaos to superchaos, Chaos around a Hénon-Heiles-Inspired Exact Perturbation of a Black Hole



Cites Work

  • Stability of a Schwarzschild Singularity
  • Horseshoes for autonomous Hamiltonian systems using the Melnikov integral
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