2014/11/04 by J. R. Morris, John R. Morris
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Conformal map #Consistency (knowledge bases) #Cosmology and Gravitation Theories #Equations of motion #Frame (networking) #Geometry #Mathematical analysis #Mathematics #Motion (physics) #Physics #Pulsars and Gravitational Waves Research #Scalar (mathematics) #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.90.107501
published as Physical Review D 90, 107501 (2014) · 8 pages
openalex publication_date 2014/11/04 · arxiv created 2014/11/05 · arxiv updated 2014/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Four-dimensional scalar-tensor theory is considered within two conformal frames, the Jordan frame (JF) and the Einstein frame (EF). The actions for the theory are equivalent and equations of motion can be obtained from each action. It is found that the JF equations of motion, expressed in terms of EF variables, translate directly into and agree with the EF equations of motion obtained from the EF action, provided that certain simple consistency conditions are satisfied, which is always the case. The implication is that a solution set obtained in one conformal frame can be reliably translated into a solution set for the other frame, and therefore the two frames are, at least, mathematically equivalent.