The cosmology of extra dimensions and varying fundamental constants.- String theory, cosmology and varying constants.- Cosmological parameters from Cosmic Microwave Background anisotropies: Status and prospects.- Cosmology in a brane-universe.- Brane world effective action at low energies.- Varying fundamental constants from a string-inspired brane world model.- Cosmology 'without' constants.- Variable speed of light theories.- Varying fundamental constants: A dynamical systems approach.- A resolution of the cosmological singularity in string theory.- The global structure of the colliding bubble braneworld universe.- The value of ?0 in a colliding bubble universe.- Inhomogeneous dark radiation dynamics on a de Sitter brane.- The confrontation between general relativity and experiment.- The implications of experimental uncertainties in Newton's constant on the standard evolution of the Sun.- Varying fine-structure constant and the cosmological constant problem.- Does the fine structure constant vary? A third quasar absorption sample consistent with varying ?.- Does the fine structure constant vary? A detailed investigation into systematic effects.- Does the proton-to-electron mass ratio ? = mp/me vary in the course of cosmological evolution?.- Measuring ? in the early universe.- Constraining theoretical models with astronomical and geophysical bounds.- White dwarf constraints on exotic physics.- Possible evidence of time variation of weak interaction constant from double beta decay experiments.- Varying constants, nuclear physics and unification.- Cosmological perturbations of an expanding brane in an antide Sitter bulk: A short review.- Varying constants in brane world scenarios.- Cosmological tensor perturbations in brane world models.- Holographic view ofcosmological perturbations.- Constants and variations: From alpha to omega.- A qualitative analysis of the attractor mechanism of general relativity.- Non-Abelian brane cosmology.- Chaos and brane-worlds.- Multidimensional cosmology and asymptotical AdS.- Black hole solutions in braneworlds with induced gravity.