Covariant extrinsic gravity and the geometric origin of dark energy

Abstract

We construct the covariant or model independent induced Einstein-Yang-Mills field equations on a 4-dimensional brane embedded isometrically in an D-dimensional bulk space, assuming the matter fields are confined to the brane. Applying this formalism to cosmology, we derive the generalized Friedmann equations. We derive the density parameter of dark energy in terms of width of the brane, normal curvature radii and the number of extra large dimensions. We show that dark energy could actually be the manifestation of the local extrinsic shape of the brane. It is shown that the predictions of this model are in good agreement with observation if we consider an 11-dimensional bulk space.

29 pages, 2 figures, revised version

References in corpus (3)

• From cosmic deceleration to acceleration: new constraints from SN Ia and BAO/CMB
• Accelerating universe in brane gravity with a confining potential
• Universal Features of Dimensional Reduction Schemes from General Covariance Breaking

Cited by in corpus (6)

• Emergent Universe in the Braneworld Scenario
• Noncompactified Kaluza--Klein Gravity
• On the initial singularity in Kantowski-Sachs spacetime
• Implications on the cosmic coincidence by a dynamical extrinsic curvature
• Probing extra dimensions through cosmological observations of dark energy
• Cosmological Singularities in Brane Gravity