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Homoclinic chaos and energy condition violation
Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
2006 (English)In: Phys. Rev. D74 (2006) 061502Article in journal (Refereed)
Abstract [en]

In this letter we discuss the connection between so-called homoclinic chaos and the violation of energy conditions in locally rotationally symmetric Bianchi type IX models, where the matter is assumed to be non-tilted dust and a positive cosmological constant. We show that homoclinic chaos in these models is an artifact of unphysical assumptions: it requires that there exist solutions with positive matter energy density $\rho>0$ that evolve through the singularity and beyond as solutions with negative matter energy density $\rho<0$. Homoclinic chaos is absent when it is assumed that the dust particles always retain their positive mass.In addition, we discuss more general models: for solutions that are not locally rotionally symmetric we demonstrate that the construction of extensions through the singularity, which is required for homoclinic chaos, is not possible in general

Place, publisher, year, edition, pages
2006.
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-20011OAI: oai:DiVA.org:kau-20011DiVA: diva2:593666
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21

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