Chaos-order transition in Bianchi type I non-Abelian Born-Infeld cosmology

Dyadichev, V. V.; Gal’tsov, D.V.; Moniz, Paulo Vargas

doi:10.1103/physrevd.72.084021

Cited by 13 publications

(7 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similar picture exists for chaos in two-field system, described in Ref. [8] and for non-abelian field dynamics [9,10] -both these cases do not require volume oscillations, which are crucial for describing type of transient chaos.…”

supporting

confidence: 52%

Transient Chaos in Scalar Field Cosmology on a Brane

Toporensky¹

2008

The Eleventh Marcel Grossmann Meeting

View full text Add to dashboard Cite

We study cosmological dynamics of a flat Randall-Sundrum brane with a scalar field and a negative "dark radiation" term. It is shown that in some situations the "dark radiation" can mimic spatial curvature and cause a chaotic behavior which is similar to chaotic dynamics in closed Universe with a scalar field.The phenomenon of transient chaos in homogeneous cosmological models had been described by D. Page [1] (he studied a closed isotropic Universe with a massive scalar field) even earlier than this concept was formulated and investigated systematically (see, for example, [2,3]). The key feature of this type of chaos is that the dymamical system (in comparison with the well-known case of strange attractors) has a regular regime as its future attractor while particular trajectories can experience a chaotic behavior before reaching this stable regime.

show abstract

supporting

confidence: 52%

Transient Chaos in Scalar Field Cosmology on a Brane

Toporensky¹

2008

The Eleventh Marcel Grossmann Meeting

View full text Add to dashboard Cite

show abstract

“…It may be noted that in this paper, we have used an abelian Born-Infeld action, in which a U (1) gauge field was coupled in a non-linear action. The abelian Born-Infeld action has been generalized to a nonabelian Born-Infeld action [66,67]. Furthermore, black hole solution in such a theory with non-abelian Born-Infeld have also been constructed [68,69].…”

Section: Discussionmentioning

confidence: 99%

Charged scalar quasi-normal modes for higher-dimensional Born–Infeld dilatonic black holes with Lifshitz scaling

2020

View full text Add to dashboard Cite

We study quasi-normal modes for a higher dimensional black hole with Lifshitz scaling, as these quasi-normal modes can be used to test Lifshitz models with large extra dimensions. Furthermore, as the effective Planck scale is brought down in many models with large extra dimensions, we study these quasi-normal modes for a UV completion action. Thus, we analyze quasi-normal modes for higher dimensional dilaton-Lifshitz black hole solutions coupled to a non-linear Born-Infeld action. We will analyze the charged perturbations for such a black hole solution. We will first analyze the general conditions for stability analytically, for a positive potential. Then, we analyze this system for a charged perturbation as well as negative potential, using the asymptotic iteration method for quasi-normal modes. Thus, we analyze the behavior of these modes numerically.

show abstract

“…( 15) is third term and the presented solutions are not asymptotically AdS, but for the cases s < 0 or s > 1 2 (include of s = n 2 ), the asymptotic behavior of rotating Einstein-nonlinear Maxwell field solutions are the same as linear AdS case. It is easy to show that the electromagnetic field is zero for the cases s = 0, 1 2 , and the metric function (15) does not possess a charge term and it corresponds to uncharged asymptotically AdS one. Second, we look for the essential singularities.…”

Section: Properties Of the Solutionsmentioning

confidence: 99%

“…Third, it is remarkable that all the nonlinear electrodynamics models coupled to gravity satisfy the zeroth and the first laws of black hole mechanics [7]. Fourth, there has been a significant amount of interest in cosmological models involving nonlinear electromagnetic fields [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27]. If the early universe is dominated by radiation governed by Maxwell's equations it is well known that there will be a spacelike initial singularity in the past.…”

Section: Introductionmentioning

confidence: 99%

Rotating black branes in the presence of nonlinear electromagnetic field

Hendi

2010

Eur. Phys. J. C

View full text Add to dashboard Cite

In this paper, we consider a class of gravity whose action represents itself as a sum of the usual Einstein-Hilbert action with cosmological constant and an U (1) gauge field for which the action is given by a power of the Maxwell invariant. We present a class of the rotating black branes with Ricci flat horizon and show that the presented solutions may be interpreted as black brane solutions with two event horizons, extreme black hole and naked singularity provided the parameters of the solutions are chosen suitably. We investigate the properties of the solutions and find that for the special values of the nonlinear parameter, the solutions are not asymptotically anti-deSitter. At last, we obtain the conserved quantities of the rotating black branes and find that the nonlinear source effects on the electric field, the behavior of spacetime, type of singularity and other quantities.PACS. PACS-key discribing text of that key -PACS-key discribing text of that key

show abstract

Chaos-order transition in Bianchi type I non-Abelian Born-Infeld cosmology

Cited by 13 publications

References 40 publications

Transient Chaos in Scalar Field Cosmology on a Brane

Transient Chaos in Scalar Field Cosmology on a Brane

Charged scalar quasi-normal modes for higher-dimensional Born–Infeld dilatonic black holes with Lifshitz scaling

Rotating black branes in the presence of nonlinear electromagnetic field

Contact Info

Product

Resources

About