Gravitomagnetic Effects in the Propagation of Electromagnetic Waves in Variable Gravitational Fields of Arbitrary-Moving and Spinning Bodies
arXiv:gr-qc/0110101 · doi:10.1103/PhysRevD.65.064025
Abstract
Propagation of light in the gravitational field of self-gravitating spinning bodies moving with arbitrary velocities is discussed. The gravitational field is assumed to be "weak" everywhere. Equations of motion of a light ray are solved in the first post-Minkowskian approximation that is linear with respect to the universal gravitational constant . We do not restrict ourselves with the approximation of gravitational lens so that the solution of light geodesics is applicable for arbitrary locations of source of light and observer. This formalism is applied for studying corrections to the Shapiro time delay in binary pulsars caused by the rotation of pulsar and its companion. We also derive the correction to the light deflection angle caused by rotation of gravitating bodies in the solar system (Sun, planets) or a gravitational lens. The gravitational shift of frequency due to the combined translational and rotational motions of light-ray-deflecting bodies is analyzed as well. We give a general derivation of the formula describing the relativistic rotation of the plane of polarization of electromagnetic waves (Skrotskii effect). This formula is valid for arbitrary translational and rotational motion of gravitating bodies and greatly extends the results of previous researchers. Finally, we discuss the Skrotskii effect for gravitational waves emitted by localized sources such as a binary system. The theoretical results of this paper can be applied for studying various relativistic effects in microarcsecond space astrometry and developing corresponding algorithms for data processing in space astrometric missions such as FAME, SIM, and GAIA.
36 pages, 1 figure, submitted to Phys. Rev. D
References in corpus (1)
Cited by in corpus (112)
- Gravitomagnetic bending angle of light with finite-distance corrections in stationary axisymmetric spacetimes
- Electromagnetic fields in curved spacetimes
- Gravitational Lensing by Rotating Naked Singularities
- General post-Minkowskian expansion of time transfer functions
- Equivalence principle and experimental tests of gravitational spin effects
- Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers
- Analytical Kerr black hole lensing in the weak deflection limit
- Time transfer and frequency shift to the order 1/c^4 in the field of an axisymmetric rotating body
- World function and time transfer: general post-Minkowskian expansions
- Gravitomagnetism in the Kerr-Newman-Taub-NUT spacetime
- Gravimagnetism, Causality, and Aberration of Gravity in the Gravitational Light-Ray Deflection Experiments
- Micro-arcsecond light bending by Jupiter
- On the Gravitomagnetic Time Delay
- Magnification relations for Kerr lensing and testing Cosmic Censorship
- Gravitational Faraday rotation in a weak gravitational field
- A general relativistic model for the light propagation in the gravitational field of the Solar System: the dynamical case
- A General Relativistic Model of Light Propagation in the Gravitational Field of the Solar System: the Static Case
- The Speed of Gravity in General Relativity and Theoretical Interpretation of the Jovian Deflection Experiment
- Propagation of Light in the Field of Stationary and Radiative Gravitational Multipoles
- Aberration and the Fundamental Speed of Gravity in the Jovian Deflection Experiment
- Gravitational Deflection of Light and Massive Particle by a Moving Kerr-Newman Black Hole
- Nonlocal Gravity: The General Linear Approximation
- Gravity Probe Spin: Prospects for measuring general-relativistic precession of intrinsic spin using a ferromagnetic gyroscope
- Photon polarization and geometric phase in general relativity
- The Second Post-Newtonian Light Propagation and Its Astrometric Measurement in the Solar System
- Gravitomagnetism and the Speed of Gravity
- Position and frequency shifts induced by massive modes of the gravitational wave background in alternative gravity
- Wave propagation in axion electrodynamics
- Analytical Derivation of Second-Order Deflection in Equatorial Plane of a Radially Moving Kerr-Newman Black Hole
- Post-Newtonian gravitational effects in quantum interferometry
- Primary caustics and critical points behind a Kerr black hole
- Trajectory of a light ray in Kerr field: A material medium approach
- Light propagation in the field of a moving axisymmetric body: theory and application to JUNO
- Modification of the Doppler Effect due to the Helicity-Rotation Coupling
- Detecting gravito-magnetism with rotation of polarization by a gravitational lens
- Gravimagnetic effect of the barycentric motion of the Sun and determination of the post-Newtonian parameter gamma in the Cassini experiment
- Post-Newtonian limitations on measurement of the PPN parameters caused by motion of gravitating bodies
- Second-order time delay by a radially moving Kerr-Newman black hole
- Direction of light propagation to order G^2 in static, spherically symmetric spacetimes: a new derivation
- Helicity-Rotation-Gravity Coupling for Gravitational Waves
- The rotation of polarization by gravitational waves
- Polarization rotation, reference frames and Mach's principle
- The Post-Newtonian Treatment of the VLBI Experiment on September 8, 2002
- Time-Varying Gravitomagnetism
- To see invisible: image of the event horizon within the black hole shadow
- Rotation of the cosmic microwave background polarization from weak gravitational lensing
- Time Delay in Robertson-McVittie Spacetime and its Application to Increase of Astronomical Unit
- Roto-translational Effects on Deflection of Light and Particle by Moving Kerr Black Hole
- Time Transfer functions as a way to validate light propagation solutions for space astrometry
- Upper bounds on the photon mass
- Light propagation in the gravitational field of N arbitrarily moving bodies in 1PN approximation for high-precision astrometry
- From GEM to Electromagnetism
- Evolution of polarization orientations in a flat universe with vector perturbations: CMB and quasistellar objects
- A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
- The gravitational time delay in the field of a slowly moving body with arbitrary multipoles
- Light bending in a two black hole metric
- New method for determining the light travel time in static, spherically symmetric spacetimes. Calculation of the terms of order
- Tracing light propagation to the intrinsic accuracy of space-time geometry
- On gravito-magnetic time delay by extended lenses
- Advanced relativistic VLBI model for geodesy
- Relativistic orbits with gravitomagnetic corrections
- Light propagation in the gravitational field of N arbitrarily moving bodies in the 1.5PN approximation for high-precision astrometry
- Time transfer functions in Schwarzschild-like metrics in the weak-field limit: A unified description of Shapiro and lensing effects
- Relativistic gravitational deflection of light and its impact on the modeling accuracy for the Space Interferometry Mission
- Optics of spin-1 particles from gravity-induced phases
- Light propagation in the gravitational field of one arbitrarily moving pointlike body in the 2PN approximation
- Gravitational field of one uniformly moving extended body and N arbitrarily moving pointlike bodies in post-Minkowskian approximation
- Post-Newtonian light propagation in Kerr-Newman spacetime
- Weyl geometric effects on the propagation of light in gravitational fields
- Application of Time Transfer Function to McVittie Spacetime: Gravitational Time Delay and Secular Increase in Astronomical Unit
- Gravitational deflection of light and helicity asymmetry
- Dynamical orbital effects of General Relativity on the satellite-to-satellite range and range-rate in the GRACE mission: a sensitivity analysis
- Second Post-Minkowskian Metric for a Moving Kerr Black Hole
- Gravitational Faraday Rotation in Binary Pulsar Systems
- Novel Ansatzes and Scalar Quantities in Gravito-Electromagnetism
- Light propagation in 2PN approximation in the field of one moving monopole: I. Initial value problem
- Spinning Particles in Twisted Gravitational Wave Spacetimes
- Light propagation in 2PN approximation in the field of one moving monopole II. Boundary value problem
- Formal analogies between gravitation and electrodynamics
- A post-Keplerian parameter to test gravito-magnetic effects in binary pulsar systems
- General expansion of time transfer functions in optical spacetime
- On the Role of Caustic in Solar Gravitational Lens Imaging
- Light propagation in 2PN approximation in the monopole and quadrupole field of a body at rest: Initial value problem
- Some aspects of Relativistic Astrometry from within the Solar System
- On the Speed of Gravity and Relativistic v/c Corrections to the Shapiro Time Delay
- The Science of Fundamental Catalogs
- Comments on the paper by S. Samuel "On the speed of gravity and the Jupiter/Quasar measurement"
- The post-linear Schwarzschild solution in harmonic coordinates: elimination of structure-dependent terms
- Non-Equatorial Deflection of Light due to Kerr-Newman Black Hole: A Material Medium Approach
- Effects of gravitational waves on the polarization of pulsars
- Light rays, gravitational waves, and pulse-time offsets
- Rotation of polarization by a moving gravitational lens
- Kerr-Schild Form of the Exact Metric for a Constantly Moving Kerr Black Hole and Null Gravitational Deflection
- Exact Harmonic Metric for a Moving Reissner-Nordström Black Hole
- Total light deflection in the gravitational field of an axisymmetric body at rest with full mass and spin multipole structure
- Deflection of light in time-periodic spherically symmetric gravitational fields
- Rotation of polarization in the gravitational field of a laser beam - Faraday effect and optical activity
- Post-Minkowskian solution for the small-deflection motion of test particles in Kerr-Newman spacetime
- The Response of Laser Interferometric Gravitational Wave Detectors Beyond the Eikonal Equation
- Influence of gravitational waves upon light in the Minkowski background: from null geodesics to interferometry
- Constraining the parameters of binary systems through time-dependent light deflection
- Astrometric tests of General Relativity in the Solar System: mathematical and computational scenarios
- Gravitational rotation of polarization: Clarifying the gauge dependence and prediction for double pulsar
- Gravitational Faraday rotation of light propagation in the Kerr-Newman-Taub-NUT space-time
- Relativistic theory for time and frequency transfer through flowing media with an application to the atmosphere of Earth
- Gravitoelectromagnetic knot fields
- Polarization rotation and near-Earth quantum communications
- Strong Field of Binary Systems And Its Effects On Pulsar Arrival Times
- Light rays in the Solar system experiments: phases and displacements
- Observables for the Effect of Gravity on Electromagnetic Polarization
- Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens
- Sensing Gravity with Polarized Electromagnetic Radiation