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Related papers: Gravitational microlensing in modified gravity the…

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Gravitational microlensing has proved to be a versatile astrophysical tool. Recently, the question of whether higher order relativistic corrections can influence the observable properties of microlensing has been addressed. This letter…

Astrophysics · Physics 2009-11-06 Geraint F. Lewis , X. Rosalind Wang

By considering linear-order departures from general relativity, we compute a novel expression for the weak lensing convergence power spectrum under alternative theories of gravity. This comprises an integral over a 'kernel' of general…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-22 C. Danielle Leonard , Tessa Baker , Pedro G. Ferreira

Gravitational microlensing of gravitational waves (GWs) opens up the exciting possibility of studying the spacetime geometry around the lens. In this work, we investigate the prospects of constraining the `charged' hair of a charged…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Uddeepta Deka , Sumanta Chakraborty , Shasvath J. Kapadia , Md Arif Shaikh , Parameswaran Ajith

It is known that a relative translational motion between the deflector and the observer affects gravitational lensing. In this paper, a lens equation is obtained to describe such effects on actual lensing observables. Results can be easily…

Astrophysics · Physics 2008-11-26 M. Sereno

We examine a gravitational lens model inspired by modified gravity theories and exotic matter and energy. We study an asymptotically flat, static, and spherically symmetric spacetime that is modified in such a way that the spacetime metric…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Takao Kitamura , Koki Nakajima , Hideki Asada

We show that gravitational lensing can provide a direct method to probe the nature of dark energy at astrophysical scales. For lensing system as an isolated astrophysical object, we derive the dark energy contribution to gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-31 Hong-Jian He , Zhen Zhang

The gravitational lensing of gravitational waves should be treated in the wave optics instead of the geometrical optics when the wave length $\lambda$ of the gravitational waves is larger than the Schwarzschild radius of the lens mass $M$.…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi

Weak gravitational lensing is normally assumed to have only two principle effects: a magnification of a source and a distortion of the sources shape in the form of a shear. However, further distortions are actually present owing to changes…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Chris Clarkson

Waves propagating through a gravitational potential exhibit wave-optics effects when their wavelength is not significantly smaller than the lensing scales. We study the propagation of a scalar wave, governed by the Klein-Gordon equation in…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Emma Bruyère , Cyril Pitrou

Propagating gravitational waves (GWs) can encounter a massive object (lens) whose gravitational radius is comparable to the wavelength of the GWs (wave-optics regime). The resulting `microlensed' signal contains imprints about the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Gopalkrishna Prabhu , Uddeepta Deka , Sumanta Chakraborty , Shasvath J. Kapadia

Deviations from the gravitational inverse-square law would imprint scale-dependent features on the power spectrum of mass density fluctuations. We model such deviations as a Yukawa-like contribution to the gravitational potential and…

Astrophysics · Physics 2009-11-11 M. Sereno , J. A. Peacock

We show that fundamental plane of elliptical galaxies can be used to obtain observational constraints on metric theories of gravity. Being it connected to global properties of ellipticals, it can fix parameters of modified gravity.…

General Relativity and Quantum Cosmology · Physics 2020-04-27 Salvatore Capozziello , Vesna Borka Jovanović , Duško Borka , Predrag Jovanović

The standard treatment of gravitational lensing by a point mass lens M is based on a weak-field deflection angle a = 2/x, where x = (r c^2)/(2 G M) with r the distance of closest approach to the mass of a lensed light ray. It was shown that…

Astrophysics · Physics 2009-11-07 A. O. Petters

We prove a gravitational lensing theorem: the magnification of a source of uniform brightness by a foreground spherical lens is mu =1+pi(2R_E^2-R_L^2)/A, where A is the area of the source and R_E and R_L are the Einstein radius and size of…

Astrophysics · Physics 2009-11-07 Eric Agol

In this article we confront a class of $f(Q)$ gravity models with observational data of galaxy-galaxy lensing. Specifically, we consider the $f(Q)$ gravity models containing a small quadratic correction when compared with General Relativity…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-04 Qingqing Wang , Xin Ren , Yi-Fu Cai , Wentao Luo , Emmanuel N. Saridakis

We discuss, without assuming asymptotic flatness, a gravitational lens for an observer and source that are within a finite distance from a lens object. The proposed lens equation is consistent with the deflection angle of light that is…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Keita Takizawa , Toshiaki Ono , Hideki Asada

Gravitational waves (GW) from chirping binary black holes (BBHs) provide unique opportunities to test general relativity (GR) in the strong-field regime. However, testing GR can be challenging when incomplete physical modeling of the…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Anuj Mishra , N. V. Krishnendu , Apratim Ganguly

We study the effect of modified gravity on weak lensing in a class of scalar-tensor theory that includes $f(R)$ gravity as a special case. These models are designed to satisfy local gravity constraints by having a large scalar-field mass in…

Astrophysics · Physics 2009-06-23 Shinji Tsujikawa , Takayuki Tatekawa

The bending of lightrays by the gravitational field of a ``lens'' that is moving relative to the observer is calculated within the approximation of weak fields, small angles and thin lenses. Up to first order in $v/c$ -- and assuming the…

Astrophysics · Physics 2009-11-07 Simonetta Frittelli

The nature of the gravitational interaction between ordinary and dark matter is still open. Any deviation from universality or the Newtonian law also modifies the standard assumption of collisionless dark matter. On the other hand,…

High Energy Physics - Theory · Physics 2010-12-14 Zurab Berezhiani , Fabrizio Nesti , Luigi Pilo , Nicola Rossi