Wave-like spatially homogeneous models of Stackel spacetimes (3.1) type in the scalar-tensor theory of gravity

Abstract

All classes of spatially homogeneous space-time models in the generalized scalar-tensor theory of gravity are found that allow the integration of the equations of motion of test particles and the eikonal equation by the method of %complete separation of variables by type (3.1). Three classes of exact solutions are obtained that relate to wave-like spacetime models. The resulting spacetime models are of type IV, VI, and VII according to the Bianchi classification and type N according to Petrov's classification.

7 pages

References in corpus (5)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Pure radiation in space-time models that admit integration of the eikonal equation by the separation of variables method
• Separation of variables in Hamilton-Jacobi equation for a charged test particle in the Stackel spaces of type (2.0)
• Shapovalov wave-like spacetimes
• Spatially homogeneous models of Stäckel spacetimes of type (2.1)

Cited by in corpus (4)

• Exact models of pure radiation in R^2 gravity for spatially homogeneous Shapovalov spacetimes type II
• Type I Shapovalov wave spacetimes in the Brans-Dicke scalar-tensor theory of gravity
• Quadratic theory of gravity with a scalar field and type I Shapovalov wave spacetimes
• Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations