Non-Riemannian Description of Robinson-Trautman Spacetimes in Brans-Dicke Theory Of Gravity

Abstract

The variational field equations of Brans-Dicke scalar-tensor theory of gravitation are given in a non-Riemannian setting in the language of exterior differential forms over 4-dimensional spacetimes. A conformally re-scaled Robinson-Trautman metric together with the Brans-Dicke scalar field are used to characterise algebraically special Robinson-Trautman spacetimes. All the relevant tensors are worked out in a complex null basis and given explicitly in an appendix for future reference. Some special families of solutions are also given and discussed.

corrections in the introduction and appendices

References in corpus (4)

• Non-equilibrium dynamics and $Ad{S}_4$ Robinson-Trautman
• Revisiting the analogue of the Jebsen-Birkhoff theorem in Brans-Dicke gravity
• Radiative spacetimes approaching the Vaidya metric
• Spinning particles in scalar-tensor gravity

Cited by in corpus (2)

• Gravitational waves in Brans-Dicke Theory with a cosmological constant
• Near-extremal dynamics away from the horizon