On the classical confinement of test particles to a thin 3-brane in the absence of non-gravitational forces

Details On the classical confinement of test particles to a thin 3-brane in the absence of non-gravitational forces On the classical confinement of test particles to a thin 3-brane in the absence of non-gravitational forces

2008-02-07

arxiv.org/abs/0802.0939v3

Mod.Phys.Lett.A23:2727-2736,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, version to appear in MPLA

Scientific paper

10.1142/S0217732308027503

The classical confinement condition of test particles to a brane universe in the absence of non-gravitational forces is transformed using the Hamilton-Jacobi formalism. The transformed condition provides a direct criterion for selecting in a cosmological scenario 5D bulk manifolds wherein it is possible to obtain confinement of trajectories to 4D hypersurfaces purely due to classical gravitational effects.

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