Covariant theory of gravitation in the framework of special relativity

@article{Vieiva2018CovariantTO,
title={Covariant theory of gravitation in the framework of special relativity},
author={Ricardo Soares Vieiva and H. B. Brentan},
journal={The European Physical Journal Plus},
year={2018},
volume={133},
pages={1-26}
}

Abstract.In this work, we study the magnetic effects of gravity in the framework of special relativity. Imposing covariance of the gravitational force with respect to the Lorentz transformations, we show from a thought experiment that a magnetic-like force must be present whenever two or more bodies are in motion. The exact expression for this gravitomagnetic force is then derived purely from special relativity and the consequences of such a covariant theory are developed. For instance, we show… Expand