The complete Brans–Dicke theories

Journal Article · Sun Jan 15 00:00:00 EST 2017 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.11.013· OSTI ID:22617458

Kofinas, Georgios

Given that the simple wave equation of Brans–Dicke theory for the scalar field is preserved, we have investigated, through exhaustively analyzing the Bianchi identities, the consistent theories which violate the exact energy conservation equation. It is found that only three theories exist which are unambiguously determined from consistency, without imposing arbitrary functions by hand. Each of these theories possesses a specific interaction term which controls the energy exchange between the scalar field and ordinary matter. The theories contain new parameters (integration constants from the integration procedure) and when these are switched-off, Brans–Dicke theory emerges. As usually, the vacuum theories can be defined from the complete Brans–Dicke theories when the matter energy–momentum tensor vanishes.

• OSTI ID: 22617458
• Journal Information: Annals of Physics, Vol. 376; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ENERGY-MOMENTUM TENSOR
GRAVITATION
SCALAR FIELDS
WAVE EQUATIONS