12,903 research outputs found
Chaos in Robertson-Walker Cosmology
Chaos in Robertson-Walker cosmological models where gravity is coupled to one
or more scalar fields has been studied by a few authors, mostly using numerical
simulations. In this paper we begin a systematic study of the analytical
aspect. We consider one conformally coupled scalar field and, using the fact
that the model is integrable when the field is massless, we show in detail how
homoclinic chaos arises for nonzero masses using a perturbative method.Comment: 16 pages, Tex, no figures. Minor changes have been added. To appear
in Journal of Mathematical Physic
Chaos, decoherence and quantum cosmology
In this topical review we discuss the connections between chaos, decoherence
and quantum cosmology. We understand chaos as classical chaos in systems with a
finite number of degrees of freedom, decoherence as environment induced
decoherence and quantum cosmology as the theory of the Wheeler - DeWitt
equation or else the consistent history formulation thereof, first in mini
super spaces and later through its extension to midi super spaces. The overall
conclusion is that consideration of decoherence is necessary (and probably
sufficient) to sustain an interpretation of quantum cosmology based on the Wave
function of the Universe adopting a Wentzel - Kramers - Brillouin form for
large Universes, but a definitive account of the semiclassical transition in
classically chaotic cosmological models is not available in the literature yet.Comment: 40 page
Spectral resolution in hyperbolic orbifolds, quantum chaos, and cosmology
We present a few subjects from physics that have one in common: the spectral
resolution of the Laplacian.Comment: 24 pages. Contribution to the TSL Expository Lecture Series V
"Computational Physical Sciences 2006", Universiti Putra Malaysi
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