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In a flat, k=0 cosmology with galaxies that approximate singular isothermal spheres, gravitational lens image separations should be uncorrelated with source redshift. But in an open k=-1 cosmology such gravitational lens image separations…

Astrophysics · Physics 2009-10-30 Myeong-Gu Park , J. Richard Gott

We study Lorentz-violating models of massive gravity which preserve rotations and are invariant under time-dependent shifts of the spatial coordinates. In the linear approximation the Newtonian potential in these models has an extra…

High Energy Physics - Theory · Physics 2009-11-11 S. Dubovsky , P. Tinyakov , I. Tkachev

We consider universes that are close to Friedmann-Robertson-Walker in the sense that metric perturbations, their time derivatives and first spatial derivatives are small, but second spatial derivatives are not constrained. We show that if…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-03 Syksy Rasanen

Starting from a recently proposed framework for the evaluation of the cosmological averages, we evaluate the higher-order moments for the distribution of a given observable. Then, we explicitly discuss the case of the Hubble-Lema\^itre…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Tiziano Schiavone , Enea Di Dio , Giuseppe Fanizza

: From the epoch of recombination $(z\approx 10^3)$ till today, the typical density contrasts have grown by a factor of about $10^6$ in a Friedmann universe with $\Omega=1$. However, during the same epoch the typical gravitational potential…

General Relativity and Quantum Cosmology · Physics 2009-09-25 J. S. Bagla , T. Padmanabhan

Small distortions in the observed shapes of distant galaxies, a cosmic shear due to gravitational lensing, can be used to simultaneously determine the distance-redshift relation, r(z), and the density contrast growth factor, g(z). Both of…

Astrophysics · Physics 2010-04-22 L. Knox , Y. -S. Song , J. A. Tyson

We derive dynamical and gravitational lensing properties of local sources in the Hassan-Rosen bimetric gravity theory. Observations of elliptical galaxies rule out values of the effective length-scale of the theory, in units of the Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-14 Jonas Enander , Edvard Mortsell

We investigate the gravitational lens effect caused by a non-spherically distorted compact object. The non-spherical property of the gravitational potential is modeled by a quadrupole moment. Under the assumption that the quadrupole…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-03 Amano Saijo , Masumi Kasai

We develop a unified, analytic framework for gravitational lensing by Kerr black holes. In this first paper we present a new, general lens equation and magnification formula governing lensing by a compact object. Our lens equation assumes…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Amir B. Aazami , Charles R. Keeton , A. O. Petters

This paper investigates gravitational lensing effects in the presence of plasma in the strong deflection limit, which corresponds to light rays circling around a compact object and forming higher-order images. While previous studies of this…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Fabiano Feleppa , Valerio Bozza , Oleg Yu. Tsupko

The effect of currents of mass on bending of light rays is considered in the weak field regime. Following Fermat's principle and the standard theory of gravitational lensing, we derive the gravitomagnetic correction to time delay function…

Astrophysics · Physics 2009-11-07 M. Sereno

With today's millimeter and submillimeter instruments observers use gravitational lensing mostly as a tool to boost the sensitivity when observing distant objects. This is evident through the dominance of gravitationally lensed objects…

Astrophysics · Physics 2007-05-23 Tommy Wiklind , Danielle Alloin

In this work we introduced a new proposal to study the gravitational lensing theory by spherical lenses, starting from its surface mass density $\Sigma(x)$ written in terms of a decreasing function $f$ of a dimensionless coordinate $x$ on…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-21 Roger Hurtado , Leonardo Castaneda , Juan M. Tejeiro

Effects of massive object's spin on massive-massless $2 \to 2$ classical scattering is studied. Focus is set on the less-considered dimensionless expansion parameter $\lambda/b$, where $\lambda$ is the massless particle's wavelength and $b$…

High Energy Physics - Theory · Physics 2022-12-16 Wei-Ming Chen , Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim

Many distant objects can only be detected, or become more scientifically valuable, if they have been highly magnified by strong gravitational lensing. We use EAGLE and BAHAMAS, two recent cosmological hydrodynamical simulations, to predict…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-03 Andrew Robertson , Graham P. Smith , Richard Massey , Vincent Eke , Mathilde Jauzac , Matteo Bianconi , Dan Ryczanowski

We investigate the influence of plasma presence on relativistic images formed by Schwarzschild black hole lensing. When a gravitating body is surrounded by a plasma, the lensing angle depends on a frequency of the electromagnetic wave due…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan

We study the effects of large-scale density fluctuations on strong gravitational lensing. Previous studies have focused mostly on weak lensing, since large-scale structure alone cannot produce multiple images. When a galaxy or cluster acts…

Astrophysics · Physics 2009-10-28 Rennan Bar-Kana

Here the gravitational lensing in strong field limit of a Schwarzschild black hole with a solid deficit angle owing to global monopole within the context of the $f(R)$ gravity theory is investigated. We obtain the expressions of deflection…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Jingyun Man , Hongbo Cheng

In this study, we investigate gravitational lensing within modified gravity frameworks, focusing on the Hu-Sawicki $f(R)$ and normal branch Dvali-Gabadadze-Porrati (nDGP) models, and we compare these results with those obtained from general…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Ali Tizfahm , Saeed Fakhry , Javad T. Firouzjaee , Antonino Del Popolo

We present the luminosity distance series expansion to third order in redshift for a general space-time with no assumption on the metric tensor or the field equations prescribing it. It turns out that the coefficients of this general…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-25 Asta Heinesen
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