On the weak field approximation of Brans-Dicke theory of gravity

Abstract

It is shown that in the weak field approximation solutions of Brans-Dicke equations are simply related to the solutions of General Relativity equations for the same matter distribution. A simple method is developed which permits to obtain Brans-Dicke solutions from Einstein solutions when both theories are considered in their linearized forms. To illustrate the method some examples found in the literature are discussed.

12 pages, latex, no figures

References in corpus (1)

• Global Monopoles in Brans-Dicke Theory of Gravity

Cited by in corpus (15)

• Extended Theories of Gravity
• Illusions of general relativity in Brans-Dicke gravity
• Precision Gravity Tests and the Einstein Equivalence Principle
• Linearized modified gravity theories with a cosmological term: advance of perihelion and deflection of light
• Equivalence principle violation at finite temperature in scalar-tensor gravity
• Light bending in $F\left[g(\square )R\right]$ extended gravity theories
• Brans-Dicke DGP Brane Cosmology
• Gravitomagnetic time delay and the Lense-Thirring effect in Brans-Dicke theory of gravity
• Spacetime Singularities in Generalized Brans-Dicke Theories
• An issue with the classification of the scalar-tensor theories of gravity
• Vacuumless cosmic strings in Brans-Dicke theory
• Reply to "Comment on 'Scalar-tensor gravity coupled to a global monopole and flat rotation curves' "
• Stellar explosion in the weak field approximation of the Brans-Dicke theory
• Violation of the equivalence principle in curvature based extended gravity at finite temperature
• Propagation and emission of gravitational waves in the weak-field limit within the Palatini formalism