Gravitomagnetism in the Lewis cylindrical metrics

DOI10.1088/1361-6382/abc570zbMath1480.83021arXiv1912.09407OpenAlexW3095347918MaRDI QIDQ5162545

L. Filipe O. Costa, José Natário, Nilton O. Santos

Publication date: 2 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09407

zbMATH Keywords

gravitomagnetismSagnac effectframe-dragging\(1+3\) quasi-Maxwell formalismgravito-electromagnetic analogylocally and globally static spacetimesvan Stockum cylinder

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Electromagnetic fields in general relativity and gravitational theory (83C50) Einstein-Maxwell equations (83C22)

Cites Work

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• Gravito-electromagnetic analogies
• Editorial note to: T. Levi-Civita, The physical reality of some normal spaces of Bianchi and to: Einsteinian \(ds^2\) in Newtonian fields. IX: The analog of the logarithmic potential
• Republication of: Einsteinian \(ds^2\) in Newtonian fields. IX: The analog of the logarithmic potential
• Extremally accelerated observers in stationary axisymmetric spacetimes
• Some remarks on loop variables, holonomy transformation, and gravitational Aharonov-Bohm effect
• Rotating coordinates as tools for calculating circular geodesics and gyroscopic precession
• Republication of: New mechanics of material systems. Translation from [Acta Phys. Polon. 6, 163--200 (1937)]
• Republication of: On the physical significance of the Riemann tensor
• Space tensors in general relativity. I: Spatial tensor algebra and analysis. II: Physical applications; III: The structural equations
• The Sagnac phase shift suggested by the Aharonov-Bohm effect for relativistic matter beams
• Electromagnetic duality in general relativity
• Geometric treatment of the gravitomagnetic clock effect
• Sagnac effect of Gödel's universe
• Circular orbits in stationary axisymmetric spacetimes
• The parameters of the Lewis metric for the Weyl class
• Matching stationary space-times
• Quasi-Maxwell interpretation of the spin-curvature coupling
• The Sagnac effect in curved space-times from an analogy with the Aharonov-Bohm effect
• Gravitomagnetism and relative observer clock effects
• On the gravitomagnetic effects in cylindrically symmetric space–times
• Classical monopoles: Newton, NUT space, gravomagnetic lensing, and atomic spectra
• Gravitational waves in general relativity I. Cylindrical waves
• General relativity: Relative standard mass, momentum, energy and gravitational field in a general system of reference
• Covariant Conservation Laws in General Relativity
• MOTION OF A GYROSCOPE ACCORDING TO EINSTEIN'S THEORY OF GRAVITATION
• Significance of Electromagnetic Potentials in the Quantum Theory
• Conformally stationary spacetimes
• Killing inequalities for relativistically rotating fluids
• Gravito-electromagnetism
• Stationary and static cylindrically symmetric Einstein spaces of the Lewis form
• Electric and magnetic Weyl tensors: classification and analysis
• On parameters of the Levi-Civita solution
• Detection of the gravitomagnetic clock effect
• Holonomy and gravitomagnetism
• The gravitomagnetic clock effect
• Geodesics in Lewis space–time
• On the parameters of the Lewis metric for the Lewis class
• The magnetic Weyl tensor and the van Stockum solution
• The Levi–Civita space–time
• Perfect-fluid cylinders and walls - sources for the Levi-Civita spacetime
• Gravitomagnetic clock effect and extremely accelerated observers
• Rotating cylindrical systems and gravitomagnetism
• Cylindrical systems in general relativity
• Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes
• A covariant multipole formalism for extended test bodies in general relativity
• Avoiding closed timelike curves with a collapsing rotating null dust shell
• Static perfect fluids in general relativity
• The Large Scale Structure of Space-Time
• What forces act in relativistic gyroscope precession?
• IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry
• Spinning test-particles in general relativity. I
• General Relativity
• Exact Space-Times in Einstein's General Relativity
• On stationary vacuum solutions to the Einstein equations