The cosmological billiard attractor
| dc.creator | Heinzle, J. Mark | |
| dc.creator | Uggla, Claes | |
| dc.creator | Rohr, Niklas | |
| dc.date | 2007-02-27 | |
| dc.date.accessioned | 2026-07-07T12:53:44Z | |
| dc.date.available | 2026-07-07T12:53:44Z | |
| dc.description | This article is devoted to a study of the asymptotic dynamics of generic solutions of the Einstein vacuum equations toward a generic spacelike singularity. Starting from fundamental assumptions about the nature of generic spacelike singularities we derive in a step-by-step manner the cosmological billiard conjecture: we show that the generic asymptotic dynamics of solutions is represented by (randomized) sequences of heteroclinic orbits on the `billiard attractor'. Our analysis rests on two pillars: (i) a dynamical systems formulation based on the conformal Hubble-normalized orthonormal frame approach expressed in an Iwasawa frame; (ii) stochastic methods and the interplay between genericity and stochasticity. Our work generalizes and improves the level of rigor of previous work by Belinskii, Khalatnikov, and Lifshitz; furthermore, we establish that our approach and the Hamiltonian approach to `cosmological billiards', as elaborated by Damour, Hennaux, and Nicolai, can be viewed as yielding `dual' representations of the asymptotic dynamics. | |
| dc.description | 88 pages, 18 figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0702141 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0702141 | |
| dc.identifier | Adv.Theor.Math.Phys.13:293-407,2009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223724 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The cosmological billiard attractor | |
| dc.type | text |