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Related papers: Gravitational lensing, memory and the Penrose limi…

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Gravitational lensing provides an efficient tool for the investigation of matter structures, independent of the dynamical or hydrostatic equilibrium properties of the deflecting system. However, it depends on the kinematic status. In fact,…

Astrophysics · Physics 2009-11-13 M. Sereno

Frequency-dependent gravitational lens effects are found for trajectories of electromagnetic rays passing through a distribution of plasma near a massive object. Ray propagation through plasma adds extra terms to the equations of motion…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Adam Rogers

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…

General Relativity and Quantum Cosmology · Physics 2019-12-10 Abraham I. Harte

We present a simple prescription for the rotation of polarization produced by a relativistically moving gravitational lens, applicable to arbitrary deflection angle and arbitrary velocity of the lens. When geometric optics is applicable,…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Maxim Lyutikov

We present a complete treatment in the strong field limit of gravitational retro-lensing by a static spherically symmetric compact object having a photon sphere. The results are compared with those corresponding to ordinary lensing in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ernesto F. Eiroa , Diego F. Torres

Gravitational lensing occurs as the path of light from distant celestial bodies is distorted due to gravitational attraction by other celestial bodies, whose mass is partly invisible, being so-called dark matter. When observed through a…

Instrumentation and Methods for Astrophysics · Physics 2024-05-29 Hans Georg Schaathun , Ben David Normann , Kenny Solevåg-Hoti

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…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Giulia Cusin , Macarena Lagos

We investigate imaging point sources with a monopole gravitational lens, such as the Solar Gravitational Lens in the geometric optics limit. We compute the light amplification of the lens used in conjunction with a telescope featuring a…

Instrumentation and Methods for Astrophysics · Physics 2023-11-08 Viktor T. Toth

An overview is given on those theoretical gravitational lensing results that can be formulated in a spacetime setting, without assuming that the gravitational fields are weak and that the bending angles are small. The first part is devoted…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Volker Perlick

We propose a novel concept of astrophysical mirroring in the schwarzschild framework, which emerges as a direct consequence of gravitational lensing effects occurring in the immediate vicinity of extremely dense massive objects within…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Bikramarka S Choudhury , Aritra Sanyal , Md Khalid Hossain , Farook Rahaman

We investigate the effects of gravitational lensing in the binary pulsar system J0737-3039. Current measurement of the orbital inclination allows the millisecond pulsar (A) to pass very close (at R_{min}=4000 km) in projection to the…

Astrophysics · Physics 2009-11-10 Dong Lai , Roman R. Rafikov

The total magnification due to a point lens has been of particular interest as the theorem that gravitational lensing results in light amplification for all observers appears to contradict the conservation of photon number. This has been…

Instrumentation and Methods for Astrophysics · Physics 2015-10-20 S. J. Walters , L. K. Forbes

We investigate the possibility of determining the mass distribution of a gravitational lens via lensing observations. We consider an extended, compact gravitational lens, representing its static external gravitational potential via an…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Slava G. Turyshev , Viktor T. Toth

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…

Astrophysics · Physics 2009-11-07 M. Sereno

The basic concepts of gravitational microlensing are introduced. We start with the lens equation, and then derive the image positions and magnifications. The statistical quantities of optical depth and event rate are then described. We…

Astrophysics · Physics 2008-11-05 Shude Mao

We study approximate solutions of the gravitational lens equation and corresponding lens magnification factor near the critical point. This consideration is based on the Taylor expansion of the lens potential in powers of coordinates and an…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-01 A. N. Alexandrov , S. M. Koval , V. I. Zhdanov

The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound results, and complex-algebraic upper bounds…

Astrophysics of Galaxies · Physics 2014-11-20 A. O. Petters , M. C. Werner

We investigate gravitational lensing in the Palatini approach to the f(R) extended theories of gravity. Starting from an exact solution of the f(R) field equations, which corresponds to the Schwarzschild-de Sitter metric and, on the basis…

Astrophysics · Physics 2009-07-22 Matteo Luca Ruggiero

Gravitational lensing is the phenomenon arising when light rays are deflected by the mass between the source and the observer. Largely magnified and highly distorted images of background galaxies are formed by these angular deflections if…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-02 Atınç Çağan Şengül

Gravitational wave memory is said to arise when a gravitational wave burst produces changes in a physical system that persist even after that wave has passed. This paper analyzes gravitational wave bursts in plane wave spacetimes, deriving…

General Relativity and Quantum Cosmology · Physics 2025-01-15 Abraham I. Harte , Thomas B. Mieling , Marius A. Oancea , Elisabeth Steininger