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Closed optical trajectories in Kerr spacetime are engineered to exhibit a marked lack of symmetry. The eccentricity manifests as a holonomy in gravitational Faraday rotation that can be made arbitrarily large by radial translation of the…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Blake Parvin , Mark T. Lusk

Gravitational Faraday Rotation (GFR) is a frame-dragging effect induced by rotating massive objects, which is one of the important, yet studied characteristics of lensed gravitational waves (GWs). In this work, we calculate the GFR angle…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Zhao Li , Jin Qiao , Wen Zhao , Xinzhong Er

We discuss the effects of an isolated gravitational lens on the rotation of the plane of polarization of linearly polarized light rays, the so called gravitational Faraday rotation, in metric theories of gravity. By applying the thin lens…

Astrophysics · Physics 2009-11-10 M. Sereno

Using the 1+3 formulation of stationary spacetimes we show, in the context of gravoelectromagnetism, that the plane of the polarization of light rays passing close to a black hole undergoes a rotation. We show that this rotation has the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mohammad Nouri-Zonoz

It is known that the gravitational analog of the Faraday rotation arises in the rotating spacetime due to the nonzero gravitomagnetic field. In this paper, we show that it also arises in the "nonrotating" Reissner-Nordstr\"om spacetime, if…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Chandrachur Chakraborty

We argue that the Fermi-Hubbard Hamiltonian describing the physics of ultracold atoms on optical lattices in the presence of artificial non-Abelian gauge fields, is exactly equivalent to the gauge theory Hamiltonian describing Dirac…

Quantum Gases · Physics 2011-03-07 O. Boada , A. Celi , J. I. Latorre , M. Lewenstein

We derive the approximate analytical solutions of the bound timelike geodesic orbits in the effective-one-body (EOB) frame with extreme-mass ratio limit. The analytical solutions are expressed in terms of the elliptic integrals using Mino…

General Relativity and Quantum Cosmology · Physics 2025-11-11 Chen Zhang , Wen-Biao Han

The effect of gravitational Faraday rotation was predicted in the 1950s, but there is currently no practical method for measuring this effect. Measuring this effect is important because it will provide new evidence for correctness of…

High Energy Astrophysical Phenomena · Physics 2015-11-30 Bin Chen

We study the gravitational Faraday rotation, on linearly polarized light rays emitted by a pulsar, orbiting another compact object. We relate the rotation angle to the orbital phase of the emitting pulsar, as well as to other parameters…

Astrophysics · Physics 2008-11-26 Matteo Luca Ruggiero , Angelo Tartaglia

Polarization holonomy is analytically determined for a class of closed, spherical trajectories of light transiting a black hole in the Kerr metric. The leading order geometric optics approximation admits a closed-form expression of such…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Mark T. Lusk

Optical Faraday rotation is one of the most direct and practically important manifestations of magnetically broken time-reversal symmetry. The rotation angle is proportional to the distance traveled by the light, and up to now sizeable…

Using the numerical data of MHD simulation for AGN jets based on our ``sweeping magnetic twist model'', we calculated the Faraday rotation measure (FRM) and the Stokes parameters to compare with observations. We propose that the FRM…

Astrophysics · Physics 2009-11-10 Y. Uchida , H. Kigure , S. Hirose , M. Nakamura , R. Cameron

We derive the analytical solutions of the bound timelike geodesic orbits in Kerr spacetime. The analytical solutions are expressed in terms of the elliptic integrals using Mino time $\lambda$ as the independent variable. Mino time decouples…

General Relativity and Quantum Cosmology · Physics 2012-08-28 Ryuichi Fujita , Wataru Hikida

These Faraday rotation calculations of hot, thick accretion flows are motivated by the measured steady rotation measure (RM) of $\approx -6 \times 10^5$ rad m$^{-2}$ from Sgr A*. In our numerical simulations, the quasi-steady state…

Astrophysics · Physics 2011-02-11 Prateek Sharma , Eliot Quataert , James M. Stone

We present multi-frequency VLA polarisation observations of nine gravitational lenses. The aim of these observations was to determine Faraday rotation measures (RM) for the individual lensed images, and to measure their continuum spectra…

Astrophysics · Physics 2007-05-23 A. R. Patnaik , K. M. Menten , R. W. Porcas , A. J. Kemball

Faraday rotation of a laser field induced by a single atom is demonstrated by tightly focussing a linearly polarized laser beam onto a laser-cooled ion held in a harmonic Paul trap. The polarization rotation signal is further used to…

Atomic Physics · Physics 2012-12-20 G. Hétet , L. Slodička , N. Röck , R. Blatt

We examine the rotation of the plane of polarization for linearly polarized light rays by the weak gravitational field of an isolated physical system. Based on the rotation of inertial frames, we review the general integral expression for…

Astrophysics · Physics 2009-11-10 Mauro Sereno

We develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics. The geodesics of the spacetime are expressed as integral…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Thomas P. Kling , Sophia MacQueen Pooler

Faraday rotation has been seen at millimeter wavelengths in several low luminosity active galactic nuclei, including Event Horizon Telescope (EHT) targets M87* and Sgr A*. The observed rotation measure (RM) probes the density, magnetic…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Angelo Ricarte , Ben S. Prather , George N. Wong , Ramesh Narayan , Charles Gammie , Michael Johnson

For the first time it has become possible to compare global 3D general relativistic magnetohydrodynamic (GRMHD) jet formation simulations directly to very-long baseline interferometric multi-frequency polarization observations of the…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Avery E. Broderick , Jonathan C. McKinney
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