Domain Wall Dynamics in Brane World and Non-singular Cosmological Models

Abstract

We study brane cosmology as 4D (4-dimensional) domain wall dynamics in 5D bulk spacetime. For a generic 5D bulk with 3D maximal symmetry, we derive the equation of motion of a domain wall and find that it depends on mass function of the bulk spacetime and the energy-momentum conservation in a domain wall is affected by a lapse function in the bulk. Especially, for a bulk spacetime with non-trivial lapse function, energy of matter field on the domain wall goes out or comes in from the bulk spacetime. Applying our result to the case with SU(2) gauge bulk field, we obtain a singularity-free universe in brane world scenario, that is, not only a big bang initial singularity of the brane is avoided but also a singularity in a 5D bulk does not exist.

12 pages, 11 figures, submitted to PRD. One reference is added. (v2)

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Cited by in corpus (11)

• Asymptotically anti-de Sitter spacetimes and conserved quantities in higher curvature gravitational theories
• Topological Black Holes of (n+1)-dimensional Einstein-Yang-Mills Gravity
• Gauss-Bonnet braneworld redux: A novel scenario for the bouncing universe
• Bouncing Cosmology in Three Dimensions
• Magnetic solutions in AdS${}_5$ and trace anomalies
• Topological defect solutions in the spherically symmetric space-time admitting conformal motion
• Nonlinear Yang-Mills black holes
• The nature of cosmological singularities in isotropic universes and braneworlds
• Homogeneous cosmologies in scalar tensor theory
• Entanglement Entropy and Complexity of Multicomponent Universe from Holography
• Gravitational Field of Spherical Branes