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
9 Citations
Attractive Heaviside-Maxwellian (Vector) Gravity from Special Relativity and Quantum Field Theory
- Physics
- 2017
- 1
- PDF
A New Set of Maxwell-Lorentz Equations and Rediscovery of Heaviside-Maxwellian (Vector) Gravity from Quantum Field Theory
- Physics
- 2018
- 3
- PDF
Explanation of Gravity Probe B Experimental Results using Heaviside-Maxwellian (Vector) Gravity in Flat Space-time
- Physics
- 2020
- PDF
Comments on gravitoelectromagnetism of Ummarino and Gallerati in “Superconductor in a weak static gravitational field” vs other versions
- Physics
- 2017
- 12
- PDF
Helmholtz's theorem for two retarded fields and its application to Maxwell's equations
- Physics, Mathematics
- 2020
- PDF
References
SHOWING 1-10 OF 224 REFERENCES
Gravity, gauge theories and geometric algebra
- Physics
- Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 1998
- 202
- PDF
Attractive Heaviside-Maxwellian (Vector) Gravity from Special Relativity and Quantum Field Theory
- Physics
- 2017
- 1
- PDF
Causality electromagnetic induction and gravitation. A different approach to the theory of electromagnetic and gravitional fields.
- Physics
- 1992
- 42
- PDF
MOTION OF A GYROSCOPE ACCORDING TO EINSTEIN'S THEORY OF GRAVITATION.
- Physics, Medicine
- Proceedings of the National Academy of Sciences of the United States of America
- 1960
- 211
- PDF