# Gauge symmetry and gravito-electromagnetism

@article{Clark2000GaugeSA, title={Gauge symmetry and gravito-electromagnetism}, author={S Clark and Robin W. Tucker}, journal={Classical and Quantum Gravity}, year={2000}, volume={17}, pages={4125-4157} }

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to emulate electromagnetic gauge transformations under substitutions belonging to the gauge symmetry group of perturbative gravitation. These definitions have the advantage that on a flat background, with the aid of a covariantly constant timelike vector field…

## 67 Citations

Covariant theory of gravitation in the framework of special relativity

- Physics
- 2018

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…

Novel ansatzes and scalar quantities in gravito-electromagnetism

- Physics
- 2016

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…

Gravitation and Special Relativity

- Physics
- 2013

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…

Gravito-electromagnetic analogies

- Physics, Mathematics
- 2014

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…

Quaternion algebra on 4 D superfluid quantum space-time

- 2019

Gravitomagnetic equations result from applying quaternionic differential operators to the energy-momentum tensor. These equations are similar to the Maxwell’s EM equations. Both sets of the equations…

Chirality in gravitational and electromagnetic interactions with matter

- Physics, MathematicsInternational Journal of Geometric Methods in Modern Physics
- 2018

It has been suggested that single and double jets observed emanating from certain astrophysical objects may have a purely gravitational origin. We discuss new classes of pulsed gravitational wave…

Quaternion Algebra on 4D Superfluid Quantum Space-Time: Gravitomagnetism

- PhysicsFoundations of Physics
- 2019

Gravitomagnetic equations result from applying quaternionic differential operators to the energy–momentum tensor. These equations are similar to the Maxwell’s EM equations. Both sets of the equations…

Newtonian Gravitational Radiation and Waves

- Physics
- 2020

In this paper, we review historical Maxwell's equation for gravity and recent studies on the lack of curvature of linear dipole gravitational waves. The extended Newton's gravity necessarily has
the…

Linearized electromagnetic and gravito-Heavisidian chirality in split octonion space-time

- Mathematics
- 2018

In this paper, we construct a split octonionic mathematical approach to generalized electromagnetic and gravito-Heavisidian chirality of dyons by modification of the Drude–Born–Fedorov constitutive…

Gravitoelectromagnetic analogy based on tidal tensors

- Physics
- 2008

We propose a new approach to a physical analogy between general relativity and electromagnetism, based on tidal tensors of both theories. Using this approach we write a covariant form for the…

## References

SHOWING 1-10 OF 37 REFERENCES

Analogy between general relativity and electromagnetism for slowly moving particles in weak gravitational fields

- Physics
- 1991

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 gravitational…

The Electromagnetic Analogue of Some Gravitational Perturbations in Cosmology

- Physics
- 1997

Recently attention has been drawn to the fact that perfect fluid tensor perturbations (with perturbed vorticity and acceleration vanishing) of isotropic cosmological models have a perturbed Weyl…

Dynamics of extended bodies in general relativity. I. Momentum and angular momentum

- PhysicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1970

Definitions are proposed for the total momentum vector pα and spin tensor Sαβ of an extended body in arbitrary gravitational and electromagnetic fields. These are based on the requirement that a…

General-relativistic celestial mechanics. I. Method and definition of reference systems.

- Physics, MedicinePhysical review. D, Particles and fields
- 1991

A new formalism for treating the general-relativistic celestial mechanics of systems of system of arbitrarily composed and shaped, weakly self-gravitating, rotating, deformable bodies is presented, aimed at yielding a complete description of the global dynamics of such $N-body systems.

An Introduction to Spinors and Geometry with Applications in Physics

- Mathematics
- 1988

There is now a greater range of mathematics used in theoretical physics than ever. The aim of this book is to introduce theoretical physicists, of graduate student level upwards, to the methods of…

Laboratory experiments to test relativistic gravity

- Physics
- 1977

Advancing technology will soon make possible a new class of gravitation experiments: pure laboratory experiments with laboratory sources of non-Newtonian gravity and laboratory detectors. This paper…

General Relativity for the Experimentalist

- PhysicsProceedings of the IRE
- 1961

Einstein's general theory of relativity is broken down and simplified under limitations usually satisfied in experimentally realizable situations. Following the work of Møller,1 an analogy between…

Propagation of information by electromagnetic and gravitational waves in cosmology

- Physics
- 1997

The propagation of arbitrary information by electromagnetic and gravitational waves in spatially homogeneous and isotropic cosmological models is examined. The test Maxwellian fields and the…

Black Holes: The Membrane Paradigm

- Physics
- 1986

The physics of black holes is explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space. A 3+1 formalism is used to…

Gravitomagnetism, Jets in Quasars, and the Stanford Gyroscope Experiment

- Physics
- 1988

William Fairbank is tremendously lucky-or is he clairvoyant? He initiated the Stanford gyroscope experiment in 1961 as a search for the dragging of inertial frames by the earth's rotation-an effect…