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The Bianchi IX cosmological model is analyzed in a generalized uncertainty principle framework. The Arnowitt-Deser-Misner reduction of the dynamics is performed and a time-coordinate, namely the volume of the Universe, naturally arises.…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Marco Valerio Battisti , Giovanni Montani

We study a model of a cyclic, spatially homogeneous, anisotropic 'mixmaster' universe of Bianchi type IX, containing a radiation field with non-comoving ('tilted' with respect to the tetrad frame of reference) velocities and vorticity. We…

广义相对论与量子宇宙学 · 物理学 2018-01-03 Chandrima Ganguly , John D. Barrow

In the loop quantum cosmology effective dynamics for the vacuum Bianchi type I and type IX space-times, a non-singular bounce replaces the classical singularity. The bounce can be approximated as an instantaneous transition between two…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Edward Wilson-Ewing

We investigate the behaviour of bouncing Bianchi type IX `Mixmaster' universes in general relativity. This generalises all previous studies of the cyclic behaviour of closed spatially homogeneous universes with and without entropy increase.…

广义相对论与量子宇宙学 · 物理学 2017-05-03 John D. Barrow , Chandrima Ganguly

We investigate the cosmology of a class of model with noncanonical scalar field and matter in an anisotropy background. We find fixed points and their stability which constraints equation of state parameter for the matter. This is done…

广义相对论与量子宇宙学 · 物理学 2015-07-09 Sukanta Panda , Manabendra Sharma

We analyze the semiclassical and quantum behavior of the Bianchi IX Universe in the Polymer Quantum Mechanics framework, applied to the isotropic Misner variable, linked to the space volume of the model. The study is performed both in the…

广义相对论与量子宇宙学 · 物理学 2018-11-06 Chiara Crinò , Giovanni Montani , Giorgio Pintaudi

It is well known that the so called Bianchi IX spacetimes with SO(3)-symmetry in a neighbourhood of the Big Bang exhibit a chaotic behaviour of typical trajectories in the backward movement of time. This behaviour (Mixmaster Model of the…

广义相对论与量子宇宙学 · 物理学 2015-04-16 Yuri Manin , Matilde Marcolli

We consider Bianchi VI spacetime, which also can be reduced to Bianchi types VI0-V-III-I. We initially consider the most general form of the energy-momentum tensor which yields anisotropic stress and heat flow. We then derive an…

广义相对论与量子宇宙学 · 物理学 2011-08-26 Ozgur Akarsu , Can B. Kilinc

In one-loop string effective action, we study a generality of non-singular cosmological solutions found in the isotropic and homogeneous case. We discuss Bianchi I and IX type spacetimes. We find that nonsingular solutions still exist in…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Hiroki Yajima , Kei-ichi Maeda , Hidetoshi Ohkubo

We discuss the asymptotic dynamical evolution of spatially homogeneous brane-world cosmological models close to the initial singularity. We find that generically the cosmological singularity is isotropic in Bianchi type IX brane-world…

高能物理 - 理论 · 物理学 2010-04-06 A. Coley

The dynamics of cosmological models with isotropic matter sources (perfect fluids) is extensively studied in the literature; in comparison, the dynamics of cosmological models with anisotropic matter sources is not. In this paper we…

广义相对论与量子宇宙学 · 物理学 2011-02-16 Simone Calogero , J. Mark Heinzle

In homogeneous and isotropic loop quantum cosmology, gravity can behave repulsively at Planckian energy densities leading to the replacement of the big bang singularity with a big bounce. Yet in any bouncing scenario it is important to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dah-Wei Chiou , Kevin Vandersloot

We consider a self-consistent system of Bianchi type-I (BI) gravitational field and a binary mixture of perfect fluid and dark energy. The perfect fluid is taken to be the one obeying the usual equation of state, i.e., $p = \zeta \ve$, with…

广义相对论与量子宇宙学 · 物理学 2015-05-01 Bijan Saha

We study Bianchi cosmologies in the ghost-free bigravity theory assuming both metrics to be homogeneous and anisotropic, of the Bianchi class A, which includes types I,II,VI$_0$,VII$_0$,VIII, and IX. We assume the universe to contain a…

高能物理 - 理论 · 物理学 2013-11-08 Kei-ichi Maeda , Mikhail S. Volkov

We present a quantum version of the vacuum Bianchi IX model by implementing affine coherent state quantization combined with a Born-Oppenheimer-like adiabatic approximation. The analytical treatment is carried out on both quantum and…

广义相对论与量子宇宙学 · 物理学 2015-09-16 Hervé Bergeron , Ewa Czuchry , Jean Pierre Gazeau , Przemysław Małkiewicz , Włodzimierz Piechocki

We analyze the semiclassical polymer dynamics of the inhomogeneous Mixmaster model by choosing the cubed scale factor as the discretized configurational variable, while the anisotropies remain pure Einsteinian variables. Such a modified…

广义相对论与量子宇宙学 · 物理学 2019-02-06 Stefano Antonini , Giovanni Montani

We investigate classically non-singular bounces caused by dark energy. In the presence of positive spatial curvature, vacuum energy, either in the form of a cosmological constant or a scalar field potential, allows for an open set of…

高能物理 - 理论 · 物理学 2019-06-26 Sebastian F. Bramberger , Jean-Luc Lehners

Following our previous paper, Bergeron et al, Smooth quantum dynamics of the mixmaster universe, Phys. Rev. D 92, 061302(R) (2015), concerning the quantization of the vacuum Bianchi IX model and the Born-Huang-Oppenheimer framework, we…

广义相对论与量子宇宙学 · 物理学 2016-06-29 Herve Bergeron , Ewa Czuchry , Jean-Pierre Gazeau , Przemyslaw Malkiewicz

This paper begins with a short presentation of the Bianchi IX or ``Mixmaster'' cosmological model, and some ways of writing the Einstein equations for it. There is then an interlude describing how I came to a study of this model, and then a…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Charles W. Misner

We study the behaviour of Bianchi class A universes containing an ultra-stiff isotropic ghost field and a fluid with anisotropic pressures which is also ultra-stiff on the average. This allows us to investigate whether cyclic universe…

广义相对论与量子宇宙学 · 物理学 2016-05-25 John D. Barrow , Chandrima Ganguly
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