Hamiltonian theory of brane-world gravity

Details Hamiltonian theory of brane-world gravity Hamiltonian theory of brane-world gravity

2006-12-08

arxiv.org/abs/gr-qc/0612050v1

Proceedings of the Eleventh Marcel Grossmann Meeting 2006, Eds. H Kleinert, RT Jantzen and R Ruffini, World Scientific, Singap

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to appear in the Proceedings of the Eleventh Marcel Grossmann Meeting 2006, World Scientific, Singapore (2007)

Scientific paper

A brane-world universe consists of a 4-dimensional brane embedded into a 5-dimensional space-time (bulk). We apply the Arnowitt-Deser-Misner decomposition to the brane-world, which results in a 3+1+1 break-up of the bulk. We present the canonical theory of brane cosmology based on this decomposition. The Hamiltonian equations allow for the study of any physical phenomena in brane gravity. This method gives new prospects for studying the initial value problem, stability analysis, brane black holes, cosmological perturbation theory and canonical quantization in brane-worlds.

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