2002/02/02 by Antonio Accioly, A. Accioly, Accioly, A. +5
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling constant #Equivalence (formal languages) #Hamiltonian (control theory) #Mathematical physics #Mathematics #Minimal coupling #Physics #Pure mathematics #Quantum mechanics #Relativity and Gravitational Theory #Scalar field #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0202006
9 pages, LaTex
arxiv created 2002/02/02 · openalex publication_date 2002/02/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is shown that the exact Foldy-Wouthuysen transformation for spin-0 particles on spacetimes described by the metrics ds2 = V2 dt2 - W2 d \bfx2, where V=V(\bfx) and W=W(\bfx), only exists if the scalar field is nonminimally coupled to the Ricci scalar field with a coupling constant equal to 1/6. The nonminimal coupling term, in turn, does not violate the equivalence principle. As an application we obtain the nonrelativistic Foldy-Wouthuysen Hamiltonian concerning the general solution to the linearized field equations of higher-derivative gravity for a static pointlike source in the Teyssandier gauge.