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In this thesis, I investigate how to construct a self-consistent model of deformed general relativity using canonical methods and metric variables. The specific deformation of general covariance is predicted by some studies into loop…

General Relativity and Quantum Cosmology · Physics 2019-10-07 Rhiannon Cuttell

We consider the problem of gravitational deflection of a propagating relativistic massive particles by rotating black holes (Kerr black holes) and rotating wormholes (Teo wormholes) in the weak limit approximation. In particular we have…

General Relativity and Quantum Cosmology · Physics 2019-10-08 Kimet Jusufi

The gravitational deflection of light is a critical test of modified theories of gravity. A few years ago, Gibbons and Werner introduced a definition of the deflection angle based on the Gauss-Bonnet theorem. In more recent years, Arakida…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Flavio C. Sánchez , Armando A. Roque , Benito Rodríguez , Javier Chagoya

In this paper, we discuss the weak gravitational lensing in the context of stringy black holes. Initially, we examine the deflection angle of photon by charged stringy black hole. For this desire, we compute the Gaussian optical curvature…

General Relativity and Quantum Cosmology · Physics 2020-04-02 Wajiha Javed , Muhammad Bilal Khadim , Ali Övgün

We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Nikodem Popławski

We describe the statistical properties of light rays propagating though a random sea of gravity waves and compare with the case for scalar metric perturbations from density inhomogeneities. For scalar fluctuations the deflection angle grows…

Astrophysics · Physics 2010-11-30 Nick Kaiser , Andrew Jaffe

We study the impact of a minimal length, implied by generalized uncertainty principles and quantum gravity models, on unbounded (scattering) trajectories in the Kepler problem. The analysis is based on the precession of the Hamilton vector,…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Mykola Samar , Mariia Seniak

The deflection of light in the gravitational field of a massive body can be analyzed through diverse theoretical approaches. The null geodesic approach is commonly employed to calculate light deflection within strong and weak field limits.…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Saswati Roy , Shubham Kala , Atanu Singha , Hemwati Nandan , A. K. Sen

In this work, we probe the weak gravitational lensing by a static spherically symmetric black hole in view of $f(R)$ gravity in the background of the non-plasma medium (vacuum). We provide a discussion on a light ray in a static black hole…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Surajit Mandal

Stable massive neutral particles emitted by astrophysical sources undergo deflection under the gravitational potential of our own galaxy. The deflection angle depends on the particle velocity and therefore non-relativistic particles will be…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Luca Amendola , Valeria Pettorino

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 derive a coordinate-invariant expression for the photon deflection angle in the strong deflection limit (SDL) of stationary axisymmetric spacetimes. The key logarithmic-divergence coefficient is shown to depend only on quantities locally…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Takahisa Igata

We introduce the idea of {\it shape parameters} to describe the shape of the pencil of rays connecting an observer with a source lying on his past lightcone. On the basis of these shape parameters, we discuss a setting of image distortion…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Simonetta Frittelli , Thomas P. Kling , Ezra T. Newman

In this paper, we analyze deflection angle of photon from magnetized black hole within non-linear electrodynamics with parameter $\beta$. In doing so, we find the corresponding optical spacetime metric and then we calculate the Gaussian…

General Physics · Physics 2019-11-22 Wajiha Javed , Jameela Abbas , Ali Övgün

In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfect non-relativistic fluid, in the weak deflection limit. We…

General Relativity and Quantum Cosmology · Physics 2008-12-18 G W Gibbons , M C Werner

In this paper we review and build on the common methods used to analyze null geodesics in Schwarzschild de Sitter space. We present a general technique which allows finding measurable intersection angles of null trajectories analytically,…

General Relativity and Quantum Cosmology · Physics 2013-08-23 Dmitri Lebedev , Kayll Lake

In this article, we study regular scale-dependent black holes as gravitational lenses. We obtain the deflection angle in the strong deflection limit, from which we calculate the positions and the magnifications of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2019-07-11 Carlos M. Sendra

We investigate the impact of the axionic coupling parameter on the bending angle of light and the shadow cast by slowly rotating black holes in Chern-Simons modified gravity. We utilize the Ishihara \etal method to derive the deflection…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Nashiba Parbin , Dhruba Jyoti Gogoi , Umananda Dev Goswami

We study gravitational lensing by a Reissner-Nordstrom (RN) black hole in the weak field limit. We obtain the basic equations for the deflection angle and time delay and find analytical expressions for the positions and amplifications of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Sereno

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…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli
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