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We explore a new realisation of the galactic scale dynamics via gravitational lensing phenomenon in power-law $f(R)$ gravity theory of the type $f(R)\propto R^{1+\delta}$ with $\delta<<1$ for interpreting the clustered dark matter effects.…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-05 Vipin Kumar Sharma , Bal Krishna Yadav , Murli Manohar Verma

We have derived the relationship between the radial proper distance, h, and the polar angle, phi, for a light ray that is emitted and travels in the neighborhood of the Earth's surface. General relativity predicts that, even locally, the…

General Relativity and Quantum Cosmology · Physics 2008-09-25 Eduardo Díaz-Miguel

Ultra-high energy cosmic rays are mostly charged particles and they are therefore deflected by magnetic fields on their path from their sources to Earth. An interesting phenomenon arising from these deflections is the appearance of multiple…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Geraldina Golup , Diego Harari , Silvia Mollerach , Esteban Roulet

Continuing work initiated in an earlier publication [Ishihara, Suzuki, Ono, Kitamura, Asada, Phys. Rev. D {\bf 94}, 084015 (2016) ], we discuss a method of calculating the bending angle of light in a static, spherically symmetric and…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Hideki Asada

We succeed to find compact analytical expressions which allow to easily extract the black hole spin from observations of its shadow, without need to construct or model the entire curve of the shadow. The deformation of Kerr black hole…

General Relativity and Quantum Cosmology · Physics 2017-06-07 O. Yu. Tsupko

In this paper, the weak gravitational lensing phenomenon for a recently proposed rotating regular black hole with an asymptotically Minkowski core characterized by a sub-Planckian curvature was investigated. Using the Gauss-Bonnet Theorem,…

General Relativity and Quantum Cosmology · Physics 2024-11-01 Miles Angelo P. Sodejana

This paper investigates the trajectories of light beams in a Kerr metric, which describes the gravitational field in the neighborhood of a rotating black hole. After reduction by cyclic coordinates, this problem reduces to analysis of a…

Dynamical Systems · Mathematics 2025-01-23 Ivan Bizyaev

We calculate the optical diffraction radiation generated by a bunch of high energy particles as they pass through a round hole within an annular metallic ring. We derive expressions for the differential angular spectrum in the far-field and…

Accelerator Physics · Physics 2008-08-29 Tanaji Sen

We calculate the deflection of a light ray caused by the gravitational field of a cosmic string loop in the weak field limit and reduce the problem to a single quadrature over a time slice of the loop's world sheet. We then apply this…

Astrophysics · Physics 2011-09-09 Andrew A de Laix , Tanmay Vachaspati

We obtain the angular distribution of the cosmic rays reaching an observer from an individual source and after propagation through a turbulent magnetic field, for different ratios between the source distance and the diffusion length. We…

High Energy Astrophysical Phenomena · Physics 2016-03-23 Diego Harari , Silvia Mollerach , Esteban Roulet

Wormholes are one of the most interesting topological features in spacetime, offering a rat run between two vastly separated regions of the universe. In this paper, we study the deflection angle of light by wormholes, which are supported by…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Kimet Jusufi , Ali Övgün , Ayan Banerjee , İzzet Sakallı

We have computed the deflection angles caused by 195 objects in the solar system, including 177 satellites and eight asteroids. Twenty-one satellites and six asteroids can bend light from distant compact extragalactic sources by more than…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Yingjie Li , Ye Xu , Shaibo Bian , ZeHao Lin , JingJing Li , DeJian Liu , Chaojie Hao

We study the strong gravitational lensing in the background of a rotating non-Kerr compact object with a deformed parameter $\epsilon$ and an unbound rotation parameter $a$. We find that the photon sphere radius and the deflection angle…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Songbai Chen , Jiliang Jing

Understanding the deflection of light by a massive deflector, as well as the associated gravitational lens phenomena, require the use of the theory of General Relativity. I consider here a classical approach, based on Newton's equation of…

Physics Education · Physics 2008-03-05 T. Garel

An improved formula for the timing of binary pulsars that accounts for the relativistic deflection of light in the gravitational field of the pulsar's companion is presented, and the measurability of this effect together with its variance…

Astrophysics · Physics 2015-06-24 Oleg Doroshenko , Sergei Kopeikin

We study the deflection of light rays in a cold, non-magnetized plasma using the worldline framework. Starting from Synge's Hamiltonian formalism, we construct a position-space action and use it perturbatively to calculate light bending…

High Energy Physics - Theory · Physics 2025-04-15 Francesco Comberiati , Leonardo de la Cruz

From any location outside the event horizon of a black hole there are an infinite number of trajectories for light to an observer. Each of these paths differ in the number of orbits revolved around the black hole and in their proximity to…

General Relativity and Quantum Cosmology · Physics 2021-07-12 Albert Sneppen

Highly accurate closed-form expressions that describe the full trajectory of photons propagating in the equatorial plane of a Kerr black hole are obtained using asymptotic approximants. This work extends a prior study of the overall bending…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Ryne J. Beachley , Morgan Mistysyn , Joshua A. Faber , Steven J. Weinstein , Nathaniel S. Barlow

In this article, we calculate the deflection angle of tidal charged black hole (TCBH) in weak field limits. First we obtain the Gaussian optical curvature and then apply the Gauss-Bonnet theorem on it. With the help of Gibbons-Werner…

General Relativity and Quantum Cosmology · Physics 2021-10-25 Wajiha Javed , Ali Hamza , Ali Övgün

The null geodesic equations that describe motion of photons in Kerr spacetime are solved exactly in the presence of the cosmological constant $\Lambda$. The exact solution for the deflection angle for generic light orbits (i.e. non-polar,…

General Relativity and Quantum Cosmology · Physics 2011-04-08 G. V. Kraniotis