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

Abstract

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.

arXiv comment12 pages, version to appear in MPLA

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Cited by in corpus (2)

• Classical tests of General Relativity in thick branes
• Metamaterial branes