Klein-Gordon equation for a particle in brane model

Details Klein-Gordon equation for a particle in brane model Klein-Gordon equation for a particle in brane model

2011-11-24

arxiv.org/abs/1111.5695v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 3 figures arXiv admin note: substantial text overlap with arXiv:0808.3337

Scientific paper

Brane model of universe is considered for free particle. Conservation laws on the brane are obtained using the symmetry properties of the brane. Equation of motion is derived for a particle using variation principle from these conservation laws. This equation includes terms accounting the variation of brane radius. Its solution is obtained at some approximations and dispersion relation for a particle is derived.

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