Brans-Dicke theory in Bondi-Sachs form: Asymptotically flat solutions, asymptotic symmetries and gravitational-wave memory effects

Understand

Gravitational-wave memory effects are identified by their distinctive effects on families of freely falling observers: after a burst of waves pass by their locations, memory effects can cause lasting relative displacements of the observers.

• These effects are closely related to the infrared properties of gravity and other massless field theories, including their asymptotic symmetries and conserved quantities.
• In this paper, we investigate the connection between memory effects, symmetries, and conserved quantities in Brans-Dicke theory.
• We compute the field equations in Bondi coordinates, and we define a set of boundary conditions that represent asymptotically flat solutions in this context.