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… 
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References

SHOWING 1-10 OF 223 REFERENCES
Gauge symmetry and gravito-electromagnetism
A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime,
Gravity, gauge theories and geometric algebra
  • A. Lasenby, C. Doran, S. Gull
  • Physics
    Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1998
A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent
Attractive Heaviside-Maxwellian (Vector) Gravity from Special Relativity and Quantum Field Theory
Adopting two independent approaches (a) Lorentz-invariance of physical laws and (b) local phase invariance of quantum field theory applied to the Dirac Lagrangian for massive electrically neutral
Causality electromagnetic induction and gravitation. A different approach to the theory of electromagnetic and gravitional fields.
To form any notion at all of the flux of gravitational energy, we must first localise the energy. In this respect it resembles the legendary hare in the cookery book. Whether the notion will turn out
Gravitation and Special Relativity
A mathematical derivation of Maxwell’s equations for gravitation, based on a mathematical proof of Faraday’s law, is presented. The theory provides a linear, relativistic Lagrangian field theory of
MOTION OF A GYROSCOPE ACCORDING TO EINSTEIN'S THEORY OF GRAVITATION.
  • L. Schiff
  • Physics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1960
TLDR
This section examines the experimental basis of Einstein's theory of gravitation, and the principle of equivalence, which is expressed in the following way: all observations made locally on a system in a static, uniform gravitational field in the absence of local background matter agree with corresponding observations made on the same system when it is subjected to an equivalent acceleration in the presence of the field.
Novel ansatzes and scalar quantities in gravito-electromagnetism
In this work, we focus on the theory of gravito-electromagnetism (GEM)—the theory that describes the dynamics of the gravitational field in terms of quantities met in electromagnetism—and we propose
From GEM to electromagnetism
In the first part of the present work, we focus on the theory of gravitoelectromagnetism (GEM), and we derive the full set of equations and constraints that the GEM scalar and vector potentials ought
What About Relativistic Gravitation
Various attempts to incorporate gravitation in Minkowski spacetime are described. The first one is Nordstrom’s scalar theory, which is shown to be theoretically consistent, but which turns out to be
Gravito-electromagnetic analogies
We reexamine and further develop different gravito-electromagnetic analogies found in the literature, and clarify the connection between them. Special emphasis is placed in two exact physical
...
...