Magnetic Brane-worlds

Abstract

We investigate brane-worlds with a pure magnetic field and a perfect fluid. We extend earlier work to brane-worlds, and find new properties of the Bianchi type I brane-world. We find new asymptotic behaviours on approach to the singularity and classify the critical points of the dynamical phase space. It is known that the Einstein equations for the magnetic Bianchi type I models are in general oscillatory and are believed to be chaotic, but in the brane-world model this chaotic behaviour does not seem to be possible.

21 pages, 3 ps figures; To appear in CQG

References in corpus (4)

• E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology
• Evolution of Cosmological Models in the Brane-world Scenario
• Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models
• The shear dynamics in Bianchi I cosmological model on the brane

Cited by in corpus (20)

• Brane-World Gravity
• Brane-world gravity
• Cosmological Models in Energy-Momentum-Squared Gravity
• Kaluza-Klein anisotropy in the CMB
• Viscous Bianchi type I universes in brane cosmology
• Anisotropy in Bianchi-type brane cosmologies
• No Chaos in Brane-World Cosmology
• Brane cosmology with an anisotropic bulk
• Isotropic singularity in inhomogeneous brane cosmological models
• Rotational Perturbations of High Density Matter in the Brane Cosmology
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Brane-world Singularities
• Reformulation and Interpretation of SMS Braneworld
• Asymptotic states in brane cosmology with a nonlocal anisotropic stress
• Braneworld Isotropization and Magnetic Fields
• Chaos and Brane-worlds
• Curvature invariants for the Bianchi IX spacetime filled with tilted dust
• The Dynamics of Brane-World Cosmological Models
• Cosmic No Hair for Braneworlds with a Bulk Dilaton Field
• Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models