Physical Significance of the Difference between the Brans-Dicke Theory and General Relativity

2000/12/28 by A. Miyazaki, Miyazaki, A.
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0012104

13 pages, LaTeX2e. Submitted to Physical Review D

arxiv created 2000/12/28 · arxiv updated 2009/11/30

Abstract

The asymptotic behavior of the scalar field and its physical meaning are discussed for T=0 and T≠ 0 for the large enough coupling parameter ω. The special character of the Brans-Dicke theory is also discussed for local and cosmological problems in comparison with general relativity and the selection rules are introduced respectivley. The scalar field by locally-distributed matter should exhibit the asymptotic behavior ϕ= <ϕ> +O(1/ω) because of the presence of cosmological matter. The scalar field of a proper cosmological solution should have the asymptotic form ϕ=O(ρ/ω) and should converge to zero in the continuous limit ρ/ω→ 0.

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