Dynamics and chaos in the unified scalar field cosmology

Lukes-Gerakopoulos, Georgios; Basilakos, Spyros; Contopoulos, G.

doi:10.1103/physrevd.77.043521

Cited by 13 publications

(28 citation statements)

References 34 publications

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“…The latter has naturally been examined in cosmological solutions, mainly in Bianchi IX (Mixmaster) models. While the secular debate about chaoticity and the very nature of these universes continues (Coley 2002; Fay & Lehner 2004; Benini & Montani 2004; Soares & Stuchi 2005; Heinzle, Röhr & Uggla 2006; Buzzi, Llibre & da Silva 2007; Andriopoulos & Leach 2008; Heinzle & Uggla 2009), one of the later attractors is to assess the effect of the cosmological constant and/versus that of a scalar field within the Friedmann–Lematre–Robertson–Walker model dynamics (Jorás & Stuchi 2003; Faraoni, Jensen & Theuerkauf 2006; Hrycyna & Szydłowski 2006; Lukes‐Gerakopoulos, Basilakos & Contopoulos 2008; Maciejewski et al 2008). [We only give several more recent references here.…”

Section: Introductionmentioning

confidence: 99%

Free motion around black holes with discs or rings: between integrability and chaos - I

Semerák¹,

Suková²

2010

Monthly Notices of the Royal Astronomical Society

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Geodesic dynamics is regular in the fields of isolated stationary black holes. However, due to the presence of unstable periodic orbits, it easily becomes chaotic under various perturbations. Here, we examine what amount of stochasticity is induced in Schwarzschild space–time by the presence of an additional source. Following astrophysical motivation, we specifically consider thin rings or discs lying symmetrically around the hole, and describe the total field in terms of exact static and axially symmetric solutions of Einstein's equations. The growth of chaos in time‐like geodesic motion is illustrated on Poincaré sections, on time series of position or velocity and their Fourier spectra, and on time evolution of the orbital ‘latitudinal action’. The results are discussed in terms of dependence on the mass and position of the ring/disc and on geodesic parameters (energy and angular momentum). In the Introduction, we also add an overview of the literature.

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Section: Introductionmentioning

confidence: 99%

Free motion around black holes with discs or rings: between integrability and chaos - I

Semerák¹,

Suková²

2010

Monthly Notices of the Royal Astronomical Society

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“…[43], in the framework of supersymmetry, in Ref. [44] in connection with chaotic scalar field solutions in Friedmann-Robertson-Walker cosmologies and in Ref. [45], in connection with the solution to the strong CP problem.…”

Section: Introductionmentioning

confidence: 99%

How the scalar field of unified dark matter models can cluster

Bertacca

Bartolo

Diaferio

et al. 2008

J. Cosmol. Astropart. Phys.

104

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Abstract. We use scalar-field Lagrangians with a non-canonical kinetic term to obtain unified dark matter models where both the dark matter and the dark energy, the latter mimicking a cosmological constant, are described by the scalar field itself. In this framework, we propose a technique to reconstruct models where the effective speed of sound is small enough that the scalar field can cluster. These models avoid the strong time evolution of the gravitational potential and the large Integrated Sachs-Wolfe effect which have been a serious drawback of previously considered models. Moreover, these unified dark matter scalar field models can be easily generalized to behave as dark matter plus a dark energy component behaving like any type of quintessence fluid.

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“…Here we revisit the dynamical aspect of the UDM cosmology first addressed in [8], where such scalar field was studied in the background of a spatially curved Friedmann-Robertson-Walker (FRW) spacetime. The resulting cosmological model was recast as a Hamiltonian system of two coupled oscillators and studied as such.…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper we mainly address the study of the same cosmological model as in [8], but we introduce a different parametrization of the dynamical variables. This parametrization confines the system "in a box", i.e.…”

Section: Introductionmentioning

confidence: 99%

Dynamics and chaos in the unified scalar field cosmology. II. System in a finite box

Acquaviva

Lukes-Gerakopoulos

2017

Phys. Rev. D

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We revisit the global dynamics of unified dark matter cosmological models and analyze it in a new dynamical system setting. In particular, by defining a suitable set of variables we obtain a bounded variable space, a feature that allows a better control of the critical elements of the system. First, we give a comprehensive cosmological interpretation of the critical points. Then, we turn our focus on particular representative trajectories with physically motivated initial conditions studied in the first paper of the series, and we discuss how the scale factor relates to the equation of state parameter. We review and complement these results in the light of the new variable approach by discussing the issue whether the system is chaotic or not.

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Dynamics and chaos in the unified scalar field cosmology

Cited by 13 publications

References 34 publications

Free motion around black holes with discs or rings: between integrability and chaos - I

Free motion around black holes with discs or rings: between integrability and chaos - I

How the scalar field of unified dark matter models can cluster

Dynamics and chaos in the unified scalar field cosmology. II. System in a finite box

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