Birth of the Brane World

Abstract

Birth of the brane world is studied using the Hamiltonian approach. It is shown that an inflating brane world can be created from nothing. The wave function of the universe obtained from the Wheeler de-Witt equation and the time-dependent Schr$\ddot{o}$dinger equation for quantized scalar fields on the brane are the same as in the conventional 4-dimensional quantum cosmology if the bulk is exactly the Anti-de Sitter spacetime. The effect of the massive objects in the bulk is also discussed. This analysis tells us the presence of the extra dimension imprints a nontrivial effect on the quantum cosmology of the brane world. This fact is important for the analysis of the quantum fluctuations in the inflationary scenario of the brane world.

14 pages, no figure, to appear in Phys. Lett. B

Cited by in corpus (32)

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• Brane-world gravity
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• Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity
• Gauge-invariant gravitational perturbations of maximally symmetric spacetimes
• Radion and Holographic Brane Gravity
• Brane-world inflation without inflaton on the brane
• Brane World Effective Action at Low Energies and AdS/CFT Correspondence
• FRW Quantum Cosmology with a Generalized Chaplygin Gas
• Perturbation of junction condition and doubly gauge-invariant variables
• Bulk Gravitational Field and Cosmological Perturbations on the Brane
• Quantum Fluctuations of Bulk Inflaton in Inflationary Brane World
• de Sitter thermodynamics and the braneworld
• Resource Letter on geometrical results for Embeddings and Branes
• Colliding Bubble Worlds
• Primordial fluctuations in bulk inflaton model
• Quantum effects, brane tension and large hierarchy in the brane-world
• After bulky brane inflation
• Brane Big-Bang Brought by Bulk Bubble
• Does brane cosmology have realistic principles?
• Radionic Non-uniform Black Strings
• Geometry and cosmological perturbations in the bulk inflaton model
• Chaplygin Gas Hořava-Lifshitz Quantum Cosmology
• Closed inflationary universe with tachyonic field
• Creation of a brane world with Gauss-Bonnet term
• Accelerating a Black Hole in Higher Dimensions
• Brane classical and quantum cosmology from an effective action
• Braneworld Flux Inflation
• Tensorial perturbations in the bulk of inflating brane worlds
• Static solutions in the R^4 brane world
• Closed inflationary universe models in Braneworld Cosmology
• Nucleation of ${}^{(4)}R$ Brane Universes