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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205401The 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.12 pages, version to appear in MPLAGeneral Relativity and Quantum CosmologyOn the classical confinement of test particles to a thin 3-brane in the absence of non-gravitational forcestext