Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2007-11-08
Gen.Rel.Grav.40:1341-1351,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
8 pages, 1 figure. To appear in General Relativity and Gravitation as a contributed paper to Mashhoon Festschrift
Scientific paper
10.1007/s10714-008-0611-y
We study the classical geodesic motions of nonzero rest mass test particles and photons in (3+1+n)- dimensional warped product spaces. An important feature of these spaces is that they allow a natural decoupling between the motions in the (3+1)-dimensional spacetime and those in the extra n dimensions. Using this decoupling and employing phase space analysis we investigate the conditions for confinement of particles and photons to the (3+1)- spacetime submanifold. In addition to providing information regarding the motion of photons, we also show that these motions are not constrained by the value of the extrinsic curvature. We obtain the general conditions for the confinement of geodesics in the case of pseudo-Riemannian manifolds as well as establishing the conditions for the stability of such confinement. These results also generalise a recent result of the authors concerning the embeddings of hypersurfaces with codimension one.
Dahia Fabio
Romero Carlos
Silva Lucio F. P.
Tavakol Reza
No associations
LandOfFree
Geodesic motion in the neighbourhood of submanifolds embedded in warped product 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 Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodesic motion in the neighbourhood of submanifolds embedded in warped product spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-377700