2002/01/31 by Antonio Accioly, Harold Blas
Mathematics · Physics and Astronomy · #Classical mechanics #Conformal map #Cosmology and Gravitation Theories #Coupling (piping) #Exact solutions in general relativity #Geometry #Gravitation #Gravitational field #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Quantum mechanics #Relativity and Gravitational Theory #Scalar (mathematics) #Space (punctuation) #Spacetime #Spin (aerodynamics) #Theoretical physics #Transformation (genetics) #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.66.067501
published as Phys.Rev.D66:067501,2002 · 10 pages, revtex, improved version to appear in Phys. Rev. D
arxiv created 2002/07/24 · openalex publication_date 2002/09/25 · arxiv updated 2011/08/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Up to now, the only known exact Foldy-Wouthuysen transformation (FWT) in curved space is that concerning Dirac particles coupled to static spacetime metrics. Here we construct the exact FWT related to a real spin-0 particle for the aforementioned spacetimes. This exact transformation exists independently of the value of the coupling between the scalar field and gravity. Moreover, the gravitational Darwin term written for the conformal coupling is one-third of the corresponding term in the fermionic case. There are some arguments in the literature that seem to favor the choice \ensuremathλ=(1)/(6). We rehearse a number of claims of these works.