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Gravitational scattering of the electromagnetic field from a heavy scalar field provides a fundamental testbed for understanding the deflection of light by massive bodies. In many approaches based on effective field theory, the calculation…

High Energy Physics - Theory · Physics 2026-01-19 Yihan Ma , Ding-fang Zeng

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…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Barrabes , P. A. Hogan

We discuss, without assuming asymptotic flatness, a gravitational lens for an observer and source that are within a finite distance from a lens object. The proposed lens equation is consistent with the deflection angle of light that is…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Keita Takizawa , Toshiaki Ono , Hideki Asada

We develop a unified, analytic framework for gravitational lensing by Kerr black holes. In this first paper we present a new, general lens equation and magnification formula governing lensing by a compact object. Our lens equation assumes…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Amir B. Aazami , Charles R. Keeton , A. O. Petters

The deflection angle of equatorial light (the light in the equatorial plane) in Kerr-de Sitter (KdS) spacetime was previously calculated by Sultana [\href{https://journals.aps.org/prd/abstract/10.1103/PhysRevD.88.042003}{Phys. Rev. D 88,…

General Relativity and Quantum Cosmology · Physics 2023-12-19 Yang Huang , Xiangyun Fu

We investigate the deflection angle in a strong deflection limit for a marginally unstable photon sphere in a general asymptotically flat, static and spherically symmetric spacetime under some assumptions to calculate observables. The…

General Relativity and Quantum Cosmology · Physics 2020-11-12 Naoki Tsukamoto

Deflection angles of massive test particles moving along an unbound trajectory in the Schwarzschild metric are considered for the case of large deflection. We analytically consider the strong deflection limit, which is opposite to the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Oleg Yu. Tsupko

We demonstrate an efficient method to compute the strong-gravitational-lensing deflection angle and magnification for any elliptical surface-density profile. This method solves a numerical hurdle in lens modelling that has lacked a general…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-10 Anowar J. Shajib

Motivated by recent works on light deflection and shadow behaviors on AdS geometries, we investigate the deflection angle of light rays by superentropic black holes. Taking appropriate approximations, we first obtain the involved…

General Relativity and Quantum Cosmology · Physics 2022-06-29 A. Belhaj , H. Belmahi , M. Benali , H. El Moumni

In this paper, we investigate the gravitational lensing effect for the Schwarzschild-like black hole spacetime in the background of a Kalb-Ramond (KR) field proposed in [K. Yang et. al., Phys. Rev. D 108 (2023) 124004]. The solution is…

Using a perturbative technique, in this work we study the deflection of null and timelike signals in the extended Einstein-Maxwell spacetime, the Born-Infeld gravity and the charged Ellis-Bronnikov (CEB) spacetime in the weak field limit.…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Jinhong He , Qianchuan Wang , Qiyue Hu , Li Feng , Junji Jia

The 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere is more accurate than a deflection angle in a strong deflection limit, which is used often, because the later has hidden error terms. We…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Naoki Tsukamoto

The exact metric of a moving Kerr black hole with an arbitrary constant velocity is derived in Kerr-Schild coordinates. We then calculate the null equatorial gravitational deflection caused by a radially moving Kerr source up to the second…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Weijun Li , Zhongwen Feng , Xia Zhou , Xueling Mu , Guansheng He

Using the Gauss-Bonnet theorem, we compute and examine the deflection angle of light rays by rotating regular black holes with a cosmological constant. By the help of optical geometries, we first deal with the Hayward black holes with…

General Relativity and Quantum Cosmology · Physics 2022-11-30 A. Belhaj , H. Belmahi , M. Benali , H. El Moumni

Although the formulas for the light deflection due to quadrupole gravitational field of deflecting bodies are well known, the formulas are rather complicated, so that massive computations of quadrupole light deflection (e.g., in the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 Sven Zschocke , Sergei A. Klioner

Gravitational lensing by a spinning deflector in translational motion relative to the observer is discussed in the weak field, slow motion approximation. The effect of rotation, which generates an intrinsic gravito-magnetic field, separates…

Astrophysics · Physics 2009-11-10 M. Sereno

This chapter provides a comprehensive overview of weak gravitational lensing and its current applications in cosmology. We begin by introducing the fundamental concepts of gravitational lensing and derive the key equations for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-06 J. Prat , D. Bacon

Various authors have investigated the problem of light deflection by radially moving gravitational lenses - with inconsistent results. In this paper we generalize the calculations for arbitrary lens velocities and show that, to first order…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Ulrich Sperhake

The trajectory deflection and gravitational-electromagnetic dual lensing (GEL) of charged signal in general charged static and spherically symmetric spacetimes are considered in this work. We showed that the perturbative approach previously…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Xiaoge Xu , Tingyuan Jiang , Junji Jia

Gravitational lensing by the light sphere of compact objects like black holes and wormholes will give us information on the compact objects. In this paper, we provide an improved strong deflection limit analysis in a general asymptotically…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Naoki Tsukamoto