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We calculate the bending angles of light under the strong electric and magnetic fields by a charged black hole and a magnetized neutron star according to the nonlinear electrodynamics of Euler-Heisenberg interaction. The bending angle of…

High Energy Physics - Phenomenology · Physics 2015-05-27 Jin Young Kim , Taekoon Lee

Starting from the first law of black hole thermodynamics, we establish an explicit correspondence between the corrected entropy and the metric function under the condition of fixed black hole energy and horizon position. Using the corrected…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Fang Liu , Yu-Bo Ma , Yun-Zhi Du , Huai-Fan Li

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…

We define compactness of a gravitational lens as the scaled closest distance of approach (i.e., $r_0/M$) of the null geodesic giving rise to an image. We model forty supermassive dark objects as Schwarzschild lenses and compute compactness…

General Relativity and Quantum Cosmology · Physics 2024-08-13 K. S. Virbhadra

In this letter we apply the Gauss--Bonnet theorem (GB) to calculate the deflection angle by a quantum corrected Schwarzschild black hole in the weak limit approximation. In particular we calculate the light deflection by two types of…

General Relativity and Quantum Cosmology · Physics 2017-06-09 Kimet Jusufi

In this review, various researches on finding the bending angle of light deflected by a massive gravitating object which regard the Gauss-Bonnet theorem as the premise have been revised. Primarily, the Gibbons and Werner method is studied…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Yashmitha Kumaran , 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

The central supermassive black hole of the galaxy M87 is currently a target for precision spin measurement using high-resolution, horizon-scale imaging. Such observations aim to resolve the first lensed (${n}~{=}~{1}$) sub-image of the…

High Energy Astrophysical Phenomena · Physics 2026-03-27 Delilah E. A. Gates , Dominic O. Chang , Aaron Held , Daniel C. M. Palumbo

Black hole (BH) perturbation theory and the scattering models provide a powerful framework for studying gravitational lensing at the wave-optics level. However, conventional calculations encountered two issues: the divergence of the…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Zhao Li , Wen Zhao

We investigate the optical and radiative signatures of an accretion disk around a Schwarzschild black hole (BH) immersed in a uniform magnetic field. The spacetime geometry is described by the Schwarzschild-Bertotti-Robinson (SBR) metric,…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Javokhir Sharipov , Pankaj Sheoran , Sanjar Shaymatov

We study the optical appearance of a thin accretion disk around a Schwarzschild black hole pierced by a cosmic string with a semi-analytic method of Luminet [11]. Direct and secondary images with different parameters observed by a distant…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Changqing Liu , Li Tang , Jiliang Jing

We consider the scattering of lightlike matter in the presence of a heavy scalar object (such as the Sun or a Schwarzschild black hole). By treating general relativity as an effective field theory we directly compute the nonanalytic…

High Energy Physics - Theory · Physics 2017-04-20 N. E. J. Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein , Ludovic Planté , Pierre Vanhove

We present a simple method for including the oblateness of a rapidly rotating neutron star when fitting X-ray light curves. In previous work we showed that the oblateness induced by rotation at frequencies above 300 Hz produces a geometric…

Astrophysics · Physics 2008-11-26 Sharon M. Morsink , Denis A. Leahy , Coire Cadeau , John Braga

We consider a simple spherical model consisting of a Schwarzschild black hole of mass $M$ and a dark matter of mass $\Delta M$ around it. The general formula for the radius of black-hole shadow has been derived in this case. It is shown…

General Relativity and Quantum Cosmology · Physics 2019-06-05 R. A. Konoplya

We explore a simple spherical model of optically thin accretion on a Schwarzschild black hole, and study the properties of the image as seen by a distant observer. We show that a dark circular region in the center --- a shadow --- is always…

High Energy Astrophysical Phenomena · Physics 2019-12-11 Ramesh Narayan , Michael D. Johnson , Charles F. Gammie

We investigate the Hawking radiation of massive spin-1 vector particles, which are coupled to vacuum fluctuations of a quantum field, from Rindler modified Schwarzschild black hole. Rindler acceleration is used to produce the post-general…

General Physics · Physics 2017-09-05 I. Sakalli , A. Ovgun

The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Zonghai Li , Xia Zhou , Weijun Li , Guansheng He

We present a detailed study of gravitational lensing around a rotating BTZ black hole in (2+1) dimensional gravity. The study of orbits for massless test particle around this BH spacetime is performed to describe the nature of cosmological…

General Relativity and Quantum Cosmology · Physics 2020-11-02 Shubham Kala , Hemwati Nandan , Prateek Sharma

This article describes the Schwarzschild orbit superposition method. It is the state-of-the-art dynamical modelling tool for early-type galaxies. Tests with analytic models show that masses and orbital anisotropies of not too face-on…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Jens Thomas

Gravitation lensing calculations, which are generally done for light ray, are extended to that for a massive particle. Many interesting results were observed. We discuss the scattering cross section along-with many consequential quantities…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikhil J. Joshi
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