Stationarity and large ω Brans–Dicke solutions versus general relativity

Abstract

It is often claimed that the asymptotic behaviour of the Brans–Dicke solutions versus general relativity, when \({\omega \longrightarrow \infty }\) , is related to the trace of the stress tensor. Considering the standard Euclidean cosmological model, we argue that this claim is not correct. On the other hand, we argue that this behaviour depends on the property of the considered solutions versus stationarity and asymptotical flatness.