Chaos in a 3-body Self-Gravitating Cosmological Spacetime

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dc.creatorKoop, M. J.
dc.creatorMann, R. B.
dc.date2006-07-05
dc.date.accessioned2026-07-07T11:04:04Z
dc.date.available2026-07-07T11:04:04Z
dc.descriptionWe investigate the equal-mass 3-body system in general relativistic lineal gravity in the presence of a cosmological constant $Λ$. The cosmological vacuum energy introduces features that do not have a non-relativistic counterpart, inducing a competing expansion/contraction of spacetime that competes with the gravitational self-attraction of the bodies. We derive a canonical expression for the Hamiltonian of the system and discuss the numerical solution of the resulting equations of motion. As for the system with $Λ=0$, we find that the structure of the phase space yields a rich variety of interesting dynamics that can be divided into three distinct regions: annulus, pretzel, and chaotic; the first two being regions of quasi-periodicity while the latter is a region of chaos. However unlike the $Λ=0$ case, we find that a negative cosmological constant considerably diminishes the amount of chaos in the system, even beyond that of the $Λ=0$ non-relativistic system. By contrast, a positive cosmological constant considerably enhances the amount of chaos, typically leading to KAM breakdown.
dc.description40 pages, 16 figures, Latex
dc.identifierhttps://arxiv.org/abs/astro-ph/0607070
dc.identifierhttp://arxiv.org/abs/astro-ph/0607070
dc.identifierPhys.Rev.D76:104051,2007
dc.identifierdoi:10.1103/PhysRevD.76.104051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188763
dc.subjectAstrophysics
dc.titleChaos in a 3-body Self-Gravitating Cosmological Spacetime
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