Klein-Gordon equation for a particle in brane model

2011/11/24 by S. N. Andrianov, С. Н. Андрианов, R. A. Daishev +4
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Galaxies: Formation, Evolution, Phenomena #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1111.5695

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

openalex publication_date 2011/11/24 · arxiv created 2011/12/09 · arxiv updated 2011/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Quantum Fields in Curved Space
• <title>Quantum equation of motion for a particle in the field of primordial fluctuations</title>

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