Novel ansatzes and scalar quantities in gravito-electromagnetism

@article{Bakopoulos2016NovelAA,
  title={Novel ansatzes and scalar quantities in gravito-electromagnetism},
  author={Athanasios Bakopoulos and Panagiota Kanti},
  journal={General Relativity and Gravitation},
  year={2016},
  volume={49},
  pages={1-29}
}
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 two novel forms of metric perturbations. The first one is a generalisation of the traditional GEM ansatz, and succeeds in reproducing the whole set of Maxwell’s equations even for a dynamical vector potential $$\mathbf {A}$$A. The second form, the so-called alternative ansatz, goes beyond that… Expand
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References

SHOWING 1-10 OF 70 REFERENCES
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 oughtExpand
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,Expand
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 physicalExpand
Gravito-electromagnetism
We develop and apply a fully covariant 1 + 3 electromagnetic analogy for gravity. The free gravitational field is covariantly characterized by the Weyl gravito-electric and gravito-magnetic spatialExpand
Note concerning gravitation and electromagnetism
The Maxwell equations for gravitational fields previously assumed by Sciama are derived from elementary considerations. The Lagrangian for a gravitating mass in a non-inertial coordinate systemExpand
Newtonian gravitational field theory: Two-body problem
The effects of a dual force which appears in a consistent field theory of Newtonian gravitation are explored by a study of the motion of two bodies which interact with each other through theExpand
On a Lagrangian formulation of gravitoelectromagnetism
We examine a Lagrangian formulation of gravity based on an approach analogous to electromagnetism, called Gravitoelectromagnetism (GEM). The gravitational analogue of the electromagnetic field tensorExpand
Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
The field equations associated with the Born-Infeld-Einstein action are derived using the Palatini variational technique. In this approach the metric and connection are varied independently and theExpand
Newtonian gravitational field theory
A field theory for gravitation is developed within the framework of the special theory of relativity. This is achieved by exploiting the similarity in mathematical structure of two relations whichExpand
Analogy between general relativity and electromagnetism for slowly moving particles in weak gravitational fields
Starting from the equations of general relativity, equations similar to those of electromagnetic theory are derived. It is assumed that the particles are slowly moving (v≪c), and the gravitationalExpand
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