Nonminimal coupling, equivalence principle and exact Foldy-Wouthuysen transformation

Details Nonminimal coupling, equivalence principle and exact Foldy-Wouthuysen transformation Nonminimal coupling, equivalence principle and exact Foldy-Wouthuysen transformation

2002-02-02

arxiv.org/abs/gr-qc/0202006v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTex

Scientific paper

It is shown that the exact Foldy-Wouthuysen transformation for spin-0 particles on spacetimes described by the metrics $ds^2 = V^2 dt^2 - W^2 d {\bf{x}}^2$, where $V=V({\bf{x}})$ and $W=W({\bf{x}})$, 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.

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