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We present a framework that reformulates gravitational lensing as an optical phenomenon governed by an effective refractive index, enabling exploration of modified gravity theories using undergraduate-level mathematics and optics. After…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Romy Hanang Setya Budhi

We compute the effects of a stochastic background of gravitational waves on multiply imaged systems or on weak lensing. There are two possible observable effects, a static relative deflection of images or shear, and an induced time…

Astrophysics · Physics 2009-12-30 Rennan Bar-Kana

A massive astrophysical object deforms a local distribution of dark matter, resulting in a local overdensity of dark matter. This phenomenon is often referred to as gravitational focusing. In the solar system, the gravitational focusing due…

High Energy Physics - Phenomenology · Physics 2022-04-05 Hyungjin Kim , Alessandro Lenoci

The deflection of light in the gravitational field of the Sun is one of the most fundamental consequences for general relativity as well as one of its classical tests first performed by Eddington a century ago. However, despite its center…

General Relativity and Quantum Cosmology · Physics 2023-09-13 Dripto Biswas , Sougato Bose , Anupam Mazumdar , Marko Toroš

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 gravitational field of a laser pulse, although not detectable at the moment, comes with a peculiar feature which continues to attract attention; cause and effect propagate with the same speed, that of light. A particular result of this…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Dennis Rätzel , Martin Wilkens , Ralf Menzel

Gravitational waves (GWs) emitted by binary sources are interesting signals for testing gravity on cosmological scales since they allow measurements of the luminosity distance. When followed by electromagnetic counterparts, in particular,…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-17 Isabela S. Matos , Emilio Bellini , Maurício O. Calvão , Martin Kunz

Exploring Einstein's theories of relativity in quantum systems, for example by using atomic clocks at high speeds can deepen our knowledge in physics. However, many challenges still remain on finding novel methods for detecting effects of…

Quantum Physics · Physics 2015-04-24 Wen-Te Liao , Sven Ahrens

Gravitational waves (GW), as light, are gravitationally lensed by intervening matter, deflecting their trajectories, delaying their arrival and occasionally producing multiple images. In theories beyond general relativity (GR), new…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jose María Ezquiaga , Miguel Zumalacárregui

In this paper, we delve into the gravitational lensing and photon trajectories in the vicinity of non-asymptotically flat black hole spacetimes within the framework of dRGT massive gravity, incorporating a non-zero graviton mass. We assume…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Haximjan Abdusattar , Yu-Xuan Han , Abdujappar Rusul , Shi-Bei Kong

Quantum gravity is quite elusive at the experimental level; thus a lot of interest has been raised by recent searches for quantum gravity effects in the propagation of light from distant sources, like gamma ray bursters and active galactic…

General Physics · Physics 2010-12-03 Stefano Ansoldi , Edoardo Milotti

Under the assumptions of General Relativity (GR), gravitational waves propagate at the speed of light and their mediation can be represented as a particle through a massless graviton. We investigate the impact and observability of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-24 Margaret Johnston , Marios Kalomenopoulos , Carl-Johan Haster

In this short paper we investigate quantum gravitational effects on Einstein's equations using effective field theory techniques. We consider the leading order quantum gravitational correction to the wave equation. Besides the usual…

High Energy Physics - Theory · Physics 2016-08-24 Xavier Calmet , Iberê Kuntz , Sonali Mohapatra

Although general relativity underlies modern cosmology, its applicability on cosmological length scales has yet to be stringently tested. Such a test has recently been proposed, using a quantity, EG, that combines measures of large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2010-03-11 Reinabelle Reyes , Rachel Mandelbaum , Uros Seljak , Tobias Baldauf , James E. Gunn , Lucas Lombriser , Robert E. Smith

The potential of the gravitational microlensing inside our Galaxy for testing the Einstein formula for the gravitational light deflection is discussed. For this purpose, the lens mapping is modified by introducing parameter eps, which…

General Relativity and Quantum Cosmology · Physics 2020-12-22 A. N. Alexandrov , V. M. Sliusar , V. I. Zhdanov

General relativistic deflection of light by mass, dipole, and quadrupole moments of gravitational field of a moving massive planet in the Solar system is derived in the approximation of the linearized Einstein equations. All terms of order…

General Relativity and Quantum Cosmology · Physics 2007-12-05 Sergei Kopeikin , Valeri Makarov

Einstein's theory of gravity, General Relativity, has been precisely tested on Solar System scales, but the long-range nature of gravity is still poorly constrained. The nearby strong gravitational lens, ESO 325-G004, provides a laboratory…

Just like light, gravitational waves (GWs) are deflected and magnified by gravitational fields as they propagate through the Universe. However, their low frequency, phase coherence and feeble coupling to matter allow for distinct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-29 Giovanni Tambalo , Miguel Zumalacárregui , Liang Dai , Mark Ho-Yeuk Cheung

The Sun's gravitational field deflects the apparent positions of close objects in accordance with the formulae of general relativity. Optical astrometry is used to test the prediction, but only with the stars close to the Sun and only…

General Relativity and Quantum Cosmology · Physics 2015-11-03 O. Titov , A. Girdiuk

The diffraction patterns of lensed gravitational waves encode information about their propagation speeds. If gravitons have mass, the dispersion relation and speed of gravitational waves will be affected in a frequency-dependent manner,…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Ka-Wai Chung , Tjonnie Guang Feng Li