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We investigate strong gravitational lensing by a marginally unstable photon sphere in a Reissner-Nordstr\"{o}m naked singularity spacetime. Using the Picard-Fuchs equation, we derive full-order power series expressions for the deflection…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Tadashi Sasaki

This is a general work on gravitational lensing. We present new expressions for the optical scalars and the deflection angle in terms of the energy-momentum tensor components of matter distributions. Our work generalizes standard references…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Emanuel Gallo , Osvaldo M. Moreschi

The gravitational time delay of light, also called the Shapiro time delay, is one of the four classical tests of Einstein's theory of general relativity. This article derives the Newtonian version of the Shapiro time delay from Einstein's…

General Relativity and Quantum Cosmology · Physics 2020-01-03 Markus Pössel

In the present work, we theoretically investigate light deflection in the weak and strong field regimes for two regular spacetimes with corrections from loop quantum gravity. We treat analytically the expansions for both limits and use them…

General Relativity and Quantum Cosmology · Physics 2025-06-19 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória , Marcos V. de S. Silva , H. Belich

Weak gravitational lensing provides a unique method to directly measure the distribution of mass in the universe. Because the distortions induced by lensing in the shape of background galaxies are small, the measurement of weak lensing…

Astrophysics · Physics 2009-11-06 Alexandre Refregier , David Bacon

Compact objects with magnetic dipole are considered as gravitational lenses. The presence of strong magnetic field near the photon sphere can affect the trajectory of light. We compute the deflection angle near the photon sphere on the…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Jin Young Kim

The time delay in gravitational lenses can be used to derive the Hubble constant in a relatively simple way. The results of this method are less dependent on astrophysical assumptions than in many other methods. The most important…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz

In this paper, we calculate the weak deflection angle by Casimir wormhole and its shadow. To do so, we derive the Gaussian optical curvature and use the Gauss-Bonnet theorem. Then we find the deflection angle by Casimir wormhole in weak…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Wajiha Javed , Ali Hamza , Ali Övgün

Direct detection of dark energy or modified gravity may finally be within reach due to ultrasensitive instrumentation such as atom interferometry capable of detecting incredibly small scale accelerations. Forecasts, constraints and…

Computational Physics · Physics 2020-07-13 Nicholas C. White , Sandra M. Troian , Jeffrey B. Jewell , Curt J. Cutler , Sheng-wey Chiow , Nan Yu

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

The determination of the gravitational potential by the polyhedral method is revisited in the case where the surface of a body is composed of triangular facets. Based upon six test-shapes of astrophysical interest (sphere, spheroid,…

Earth and Planetary Astrophysics · Physics 2026-03-17 Jean-Marc Huré

This paper investigates charged particle deflection in a Kerr spacetime background with a dipole magnetic field, focusing on the equatorial plane and employing the weak field approximation. We employ the Jacobi-Randers metric to unify the…

General Relativity and Quantum Cosmology · Physics 2023-12-04 Zonghai Li , Junji Jia

The study of ultralight dark matter helps to constrain the lower bound of the mass in minimally coupled dark matter models. The granular structure of ultralight dark matter density fields produces metric perturbations which have been…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-09 Andrew Eberhardt , Qiuyue Liang , Elisa G. M. Ferreira

Context. Various simplified models have been investigated to understand the complex dynamical environment near irregular asteroids. We propose a generalized dipole-segment model (GDSM) to describe the gravitational fields of elongated…

Earth and Planetary Astrophysics · Physics 2026-03-03 A. K. de Almeida , A. F. S. Ferreira , L. B. T. Santos , F. Monteiro , A. Amarante , E. Tresaco , D. M. Sanchez , C. Gomes , A. F. B. A. Prado

Accurate gravity field calculations are necessary for landing on planets, moons, asteroids, minimoons, or other irregularly shaped bodies, but current methods become increasingly inaccurate and slow near the surface. We present high…

Earth and Planetary Astrophysics · Physics 2024-11-26 Thomas MacLean , Alan H. Barr

Recent experiments on ultra slow light in strongly dispersive media by several research groups reporting slowing down of the optical pulses down to speeds of a few metres per second encourage us to examine the intriguing possibility of…

Optics · Physics 2007-12-27 N. Kumar

While most strong-gravitational-lensing systems may be roughly modelled by a single massive object between the source and the observer, in the details all the structures near the light path contribute to the observed images. These…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-01 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

We present here an efficient method for computing the visible flux for each body during a multi-body eclipsing event for all commonly used limb darkening laws. Our approach follows the idea put forth by Pal (2012) to apply Green's Theorem…

Instrumentation and Methods for Astrophysics · Physics 2018-12-19 Donald R Short , Jerome A Orosz , Gur Windmiller , William F Welsh

This article computes the bending angle of a hairy black hole at weak field limits. The Gauss-Bonnet theorem is applied to the Gaussian optical curvature; this gives a way to calculate the hairy black hole light bending angle using the…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Riasat Ali , Xia Tiecheng , Muhammad Awais , Rimsha Babar

Anomalous radio flux ratios in four-image gravitational lens systems can be explained by adding a clumpy cold dark matter (CDM) component to the potential of the lens galaxy. Evans & Witt (2003) recently suggested that smooth multipole…

Astrophysics · Physics 2009-11-13 Arthur B. Congdon , Charles R. Keeton
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