Type I Shapovalov wave spacetimes in the Brans-Dicke scalar-tensor theory of gravity

TL;DR

This paper constructs exact solutions for Type I Shapovalov wave spacetimes within Brans-Dicke scalar-tensor gravity, enabling potential observational tests for gravitational wave disturbances beyond general relativity.

Contribution

It provides the first exact solutions for Type I Shapovalov wave spacetimes in Brans-Dicke theory, facilitating new ways to detect scalar-tensor gravitational waves.

Findings

Exact solutions for Type I Shapovalov spacetimes in Brans-Dicke theory.

Derived equations for test particle trajectories in these spacetimes.

Potential for observational detection of scalar-tensor gravitational waves.

Abstract

Exact solutions for Shapovalov wave spacetimes of type I in the scalar-tensor theory of gravity of Brans-Dicke are constructed. Shapovalov's wave spacetimes describe gravitational-wave models that allow the separation of wave variables in privileged coordinate systems. In contrast to the general theory of relativity, the vacuum field equations of the Brans-Dicke scalar-tensor theory of gravity lead to exact solutions for type I Shapovalov spaces, which makes it possible to construct observational checks for detecting such wave disturbances. For the models under consideration, equations for the trajectories of test particles are obtained.