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The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations. More precisely, the review covers all aspects of gravitational lensing where light propagation is described in terms of…

广义相对论与量子宇宙学 · 物理学 2010-10-19 Volker Perlick

Starting from a Hamiltonian description of the photon within the set of Bargmann-Wigner equations we derive new semiclassical equations of motion for the photon propagating in static gravitational field. These equations which are obtained…

高能物理 - 理论 · 物理学 2016-08-16 Pierre Gosselin , Alain Bérard , Herve Mohrbach

The geometrical nature of gravity emerges from the universality dictated by the equivalence principle. In the usual formulation of General Relativity, the geometrisation of the gravitational interaction is performed in terms of the…

高能物理 - 理论 · 物理学 2019-03-19 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi S. Koivisto

Geometric optics effectively describes the propagation of electromagnetic waves when the wavelength is much smaller than the characteristic length scale of the medium, making wave phenomena like diffraction negligible. As a result, light…

广义相对论与量子宇宙学 · 物理学 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli

A novel approach to the calculation of the deflection of highly relativistic test particles in gravitational fields is described. We make use of the light-like boosts of the gravitational fields of the sources. Examples are given of the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 C. Barrabes , P. A. Hogan

We review the physical basis for the assumption of locality in relativistic physics and its connection with the aberration of starlight. As a consequence of the hypothesis of locality, the standard relativistic formulas for the Doppler…

广义相对论与量子宇宙学 · 物理学 2026-02-06 Bahram Mashhoon

We present a framework that reformulates gravitational lensing as an optical phenomenon governed by an effective refractive index, enabling exploration of modified gravity theories using undergraduate-level mathematics and optics. After…

广义相对论与量子宇宙学 · 物理学 2026-04-09 Romy Hanang Setya Budhi

We find a new family of galactic metrics corresponding to flat rotation curves at the outer radii. These are vacuum solutions to a gravity theory where the Newton's coupling varies mildly in space. The effective `mass', whose origin is…

广义相对论与量子宇宙学 · 物理学 2025-05-08 Rounak Chakraborty , Sandipan Sengupta

The effect of currents of mass on bending of light rays is considered in the weak field regime. Following Fermat's principle and the standard theory of gravitational lensing, we derive the gravitomagnetic correction to time delay function…

天体物理学 · 物理学 2009-11-07 M. Sereno

The deflection angle $\Delta\phi$ of light rays by the gravitational field of a spherical system $M(r)$ is calculated using the MOdified Newtonian Dynamics (MOND). It is shown that $\Delta\phi$ with an impact parameter $r_0$ can be…

天体物理学 · 物理学 2016-08-30 Q. Bo , X. P. Wu , Z. L. Zou

General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived in the approximation of the linearized Einstein equations. All terms of order…

广义相对论与量子宇宙学 · 物理学 2007-12-05 Sergei Kopeikin , Valeri Makarov

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

广义相对论与量子宇宙学 · 物理学 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

Typical applications of gravitational lensing use the properties of electromagnetic or gravitational waves to infer the geometry through which those waves propagate. Nevertheless, the optical fields themselves - as opposed to their…

广义相对论与量子宇宙学 · 物理学 2019-12-10 Abraham I. Harte

Based on the geodesic equation in a static spherically symmetric metric we discuss the rotation curve and gravitational lensing. The rotation curve determines one function in the metric without assuming Einstein's equations. Then lensing is…

星系天体物理 · 物理学 2011-01-26 Gunter Scharf , Gerhard Braunlich

We present the geometric optics expansion for circularly polarized gravitational waves on a curved spacetime background, to subleading order. We call spin optics to the subleading order geometric optics expansion, which involves modifying…

广义相对论与量子宇宙学 · 物理学 2022-12-07 Pravin Kumar Dahal

The influence of plasma on different effects of gravitational lensing is reviewed. Using the Hamiltonian approach for geometrical optics in a medium in the presence of gravity, an exact formula for the photon deflection angle by a black…

广义相对论与量子宇宙学 · 物理学 2015-07-31 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

The bending of lightrays by the gravitational field of a ``lens'' that is moving relative to the observer is calculated within the approximation of weak fields, small angles and thin lenses. Up to first order in $v/c$ -- and assuming the…

天体物理学 · 物理学 2009-11-07 Simonetta Frittelli

It is known that the rotation of a gravitational lens affects properties of images. We consider an inverse problem: If the lens is dark, can we infer its rotation from the observed images? We find that, up to the first order in the…

天体物理学 · 物理学 2009-10-31 Hideki Asada , Masumi Kasai

It is standard practice to study the lensing of gravitational waves (GW) using the geometric optics regime. However, in many astrophysical configurations this regime breaks down as the wavelength becomes comparable to the Schwarzschild…

广义相对论与量子宇宙学 · 物理学 2020-02-26 Giulia Cusin , Macarena Lagos

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau