On the embedding of spacetime in five-dimensional Weyl spaces

Details On the embedding of spacetime in five-dimensional Weyl spaces On the embedding of spacetime in five-dimensional Weyl spaces

2007-11-17

arxiv.org/abs/0711.2754v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, new title and references added

Scientific paper

10.1063/1.3000049

We revisit Weyl geometry in the context of recent higher-dimensional theories of spacetime. After introducing the Weyl theory in a modern geometrical language we present some results that represent extensions of Riemannian theorems. We consider the theory of local embeddings and submanifolds in the context of Weyl geometries and show how a Riemannian spacetime may be locally and isometrically embedded in a Weyl bulk. We discuss the problem of classical confinement and the stability of motion of particles and photons in the neighbourhood of branes for the case when the Weyl bulk has the geometry of a warped product space. We show how the confinement and stability properties of geodesics near the brane may be affected by the Weyl field. We construct a classical analogue of quantum confinement inspired in theoretical-field models by considering a Weyl scalar field which depends only on the extra coordinate.

Affiliated with

Also associated with

No associations

Rating

On the embedding of spacetime in five-dimensional Weyl spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the embedding of spacetime in five-dimensional Weyl spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the embedding of spacetime in five-dimensional Weyl spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-61204