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After discussing some subtle issues concerning the computation of deflection angle, a general but simple expression of bending angle of light rays in weak deflection limit has been presented for a general static and spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-07-21 Arunava Bhadra

This research delves into the optical characteristics of stationary, spherically symmetric black holes. These black holes follow the Konoplya-Zhidenko deformation rule in arbitrary gravity theories. This research finds that the effects of…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Qiao Yue , Zhaoyi Xu , Meirong Tang

Einstein's general theory of relativity poses many problems to the quantum theory of point particle fields. Among them is the fate of a massive point particle. Since its rest mass exists entirely within its Schwarzschild radius, in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. F. L. Ward

We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Xiao-Jun Gao , Xiao-kun Yan , Yihao Yin , Ya-Peng Hu

It is suggested an expanding locally anisotropic metric (ELA) ansatz describing matter in a flat expanding universe which interpolates between the Schwarzschild (SC) metric near point-like central bodies of mass 'M' and the Robertson-Walker…

General Relativity and Quantum Cosmology · Physics 2014-11-21 P. Castelo Ferreira

Bending of light rays by gravitational sources is one of the first evidences of the general relativity. When the gravitational souce is a stationary massive object such as a black hole, the bending angle has an integral representation, from…

High Energy Physics - Theory · Physics 2021-07-07 Tadashi Sasaki , Hisao Suzuki

The non-detection of dark matter (DM) particles in increasingly stringent laboratory searches has encouraged alternative gravity theories where gravity is sourced only from visible matter. Here, we consider whether such theories can pass a…

Astrophysics of Galaxies · Physics 2020-08-05 Mandy C. Chen , Tom Broadhurst , Jeremy Lim , Sandor M. Molnar , Jose M. Diego , Masamune Oguri , Lilian L. Lee

In this work, we focus on the situation where a significant amount of matter could be located close to the event horizon of the central black hole and how it affects the gravitational lensing signal. We consider a simple toy model where the…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Harsha Miriam Reji , Mandar Patil

One crucial problem in relativistic astrophysics is that of the nature of black hole candidates. It is usually assumed that astrophysical black holes are described by the Schwarzschild or Kerr space-times; however, there is no direct…

General Relativity and Quantum Cosmology · Physics 2020-11-05 J. A. Arrieta-Villamizar , J. M. Velásquez-Cadavid , O. M. Pimentel , F. D. Lora-Clavijo , A. C. Gutiérrez-Piñeres

The values of the bending delays in the signal of a radio pulsar in a binary with a stellar mass black hole as a companion have been calculated accurately within a full general relativistic framework considering the Schwarzchid spacetime…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Jyotijwal Debnath , Manjari Bagchi , Avishek Basu

We present a fully covariant and gauge-invariant formulation of electromagnetic wave propagation in static, spherically symmetric black hole spacetimes, developed entirely within Schwarzschild-like coordinates. Start ing from the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Abdullah Guvendi , Omar Mustafa Semra Gurtas Dogan , Hassan Hassanabadi

High-precision astrometry on sub-micro-arcsecond level in angular resolution requires accurate determination of the trajectory of a light-signal from the celestial light source through the gravitational field of the Solar system toward the…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Sven Zschocke

We study the accuracy of the post-Newtonian (PN) approximation and its formal region of validity, by investigating its optimal asymptotic expansion for the quasi-circular, adiabatic inspiral of a point particle into a Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Emanuele Berti

Testing gravity theory in the strong field region becomes a reality due to the observations of gravitational waves and black hole shadows. In this paper, we discuss how to constrain the possible deviations of the classical general…

General Relativity and Quantum Cosmology · Physics 2019-09-10 S. X. Tian , Zong-Hong Zhu

Cosmic expansion influences the angular size of black hole shadow. The most general way to describe a black hole embedded into an expanding universe is to use the McVittie metric. So far, the exact analytical solution for the shadow size in…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

We study the null geodesics extending from the near-horizon region out to the far region in the background of the Schwarzschild and the singly-spinning Myers-Perry black holes in the large dimension limit. We find that in this limit the…

General Relativity and Quantum Cosmology · Physics 2020-02-05 Minyong Guo , Peng-Cheng Li , Bin Chen

Light deflection in the post-linear gravitational field of two bounded point-like masses is treated. Both the light source and the observer are assumed to be located at infinity in an asymptotically flat space. The equations of light…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Michael H. Brügmann

With the help of AdS/CFT correspondence, the Einstein ring of a charged black hole in conformal gravity has been studied. Imposing an oscillating Gauss source on one side of the AdS boundary which propagates in the bulk, we derive the…

General Relativity and Quantum Cosmology · Physics 2023-12-29 Xin-Yun Hu , Xiao-Xiong Zeng , Li-Fang Li , Peng Xu

In the post-Newtonian (PN) expansion, we extend the determination of quasicircular orbital parameters to be used by subsequent full numerical simulations to the 3.5PN order, and find that this leads to lower eccentricities, $e$, than with…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Alessandro Ciarfella , James Healy , Carlos O. Lousto , Hiroyuki Nakano

Braneworld black holes existing today may be of primordial origin, or may even be produced in high energy particle collisions in the laboratory and in cosmic ray showers as well. These black holes obey a modified mass-radius relationship…

Astrophysics · Physics 2008-11-26 A. S. Majumdar , Nupur Mukherjee