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Mixmaster universe in Horava-Lifshitz gravity
We consider spatially homogeneous (but generally non-isotropic) cosmologies in the recently proposed Horava-Lifshitz gravity and compare them to those of general relativity using Hamiltonian methods. In all cases, the problem is described by an effective point particle moving in a potential well wit...
Autores principales: | , , , |
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Formato: | info:eu-repo/semantics/article |
Lenguaje: | eng |
Publicado: |
2009
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/1222486 |
_version_ | 1780918225937104896 |
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author | Bakas, Ioannis Bourliot, Francois Lust, Dieter Petropoulos, Marios |
author_facet | Bakas, Ioannis Bourliot, Francois Lust, Dieter Petropoulos, Marios |
author_sort | Bakas, Ioannis |
collection | CERN |
description | We consider spatially homogeneous (but generally non-isotropic) cosmologies in the recently proposed Horava-Lifshitz gravity and compare them to those of general relativity using Hamiltonian methods. In all cases, the problem is described by an effective point particle moving in a potential well with exponentially steep walls. Focusing on the closed-space cosmological model (Bianchi type IX), the mixmaster dynamics is now completely dominated by the quadratic Cotton tensor potential term for very small volume of the universe. Unlike general relativity, where the evolution towards the initial singularity always exhibits chaotic behavior with alternating Kasner epochs, the anisotropic universe in Horava-Lifshitz gravity (with parameter lambda > 1/3) is described by a particle moving in a frozen potential well with fixed (but arbitrary) energy E. Alternating Kasner epochs still provide a good description of the early universe for very large E, but the evolution appears to be non-ergodic. For very small E there are harmonic oscillations around the fully isotropic model. The question of chaos remains open for intermediate energy levels. |
format | info:eu-repo/semantics/article |
id | cern-1222486 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2009 |
record_format | invenio |
spelling | cern-12224862019-09-30T06:29:59Z http://cds.cern.ch/record/1222486 eng Bakas, Ioannis Bourliot, Francois Lust, Dieter Petropoulos, Marios Mixmaster universe in Horava-Lifshitz gravity Particle Physics - Theory We consider spatially homogeneous (but generally non-isotropic) cosmologies in the recently proposed Horava-Lifshitz gravity and compare them to those of general relativity using Hamiltonian methods. In all cases, the problem is described by an effective point particle moving in a potential well with exponentially steep walls. Focusing on the closed-space cosmological model (Bianchi type IX), the mixmaster dynamics is now completely dominated by the quadratic Cotton tensor potential term for very small volume of the universe. Unlike general relativity, where the evolution towards the initial singularity always exhibits chaotic behavior with alternating Kasner epochs, the anisotropic universe in Horava-Lifshitz gravity (with parameter lambda > 1/3) is described by a particle moving in a frozen potential well with fixed (but arbitrary) energy E. Alternating Kasner epochs still provide a good description of the early universe for very large E, but the evolution appears to be non-ergodic. For very small E there are harmonic oscillations around the fully isotropic model. The question of chaos remains open for intermediate energy levels. info:eu-repo/grantAgreement/EC/FP7/237920 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1222486 2009-11-16 |
spellingShingle | Particle Physics - Theory Bakas, Ioannis Bourliot, Francois Lust, Dieter Petropoulos, Marios Mixmaster universe in Horava-Lifshitz gravity |
title | Mixmaster universe in Horava-Lifshitz gravity |
title_full | Mixmaster universe in Horava-Lifshitz gravity |
title_fullStr | Mixmaster universe in Horava-Lifshitz gravity |
title_full_unstemmed | Mixmaster universe in Horava-Lifshitz gravity |
title_short | Mixmaster universe in Horava-Lifshitz gravity |
title_sort | mixmaster universe in horava-lifshitz gravity |
topic | Particle Physics - Theory |
url | http://cds.cern.ch/record/1222486 http://cds.cern.ch/record/1222486 |
work_keys_str_mv | AT bakasioannis mixmasteruniverseinhoravalifshitzgravity AT bourliotfrancois mixmasteruniverseinhoravalifshitzgravity AT lustdieter mixmasteruniverseinhoravalifshitzgravity AT petropoulosmarios mixmasteruniverseinhoravalifshitzgravity |