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We show that in the weak field limit the light deflection alone cannot distinguish between different $R + F[g(\square)R]$ models of gravity, where $F$ and $g$ are arbitrary functions. This does not imply, however, that in all these theories…

General Relativity and Quantum Cosmology · Physics 2018-03-09 Breno L. Giacchini , Ilya L. Shapiro

Hu [Phys. Rev. D62 (2000) 043007] has presented a harmonic-space method for calculating the effects of weak gravitational lensing on the cosmic microwave background (CMB) over the full sky. Computing the lensed power spectra to first order…

Astrophysics · Physics 2009-11-07 Anthony Challinor , Gayoung Chon

The cosmology of general fourth order corrections to Einstein gravity is considered, both for a homogeneous and isotropic background and for general tensor perturbations. It is explicitly shown how the standard cosmological history can be…

General Relativity and Quantum Cosmology · Physics 2011-03-07 William Nelson

Gravitational lensing of the microwave background by the intervening dark matter mainly arises from large-angle fluctuations in the projected gravitational potential and hence offers a unique opportunity to study the physics of the dark…

Astrophysics · Physics 2011-05-12 Takemi Okamoto , Wayne Hu

We present formal expressions for the optical scalars in terms of the curvature scalars in the weak gravitational lensing regime at second order in perturbations of a flat background without mentioning the extension of the lens or their…

General Relativity and Quantum Cosmology · Physics 2018-04-16 Gabriel Crisnejo , Emanuel Gallo

Double-plane gravitational lensing is a rare but increasingly observed phenomenon in which the light from a distant source is lensed by two foreground objects at different redshifts. Such systems can be used to provide simultaneous…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 Daniel Johnson , Pierre Fleury , Martin Millon

Gravitational lens models, some of which might act as if a concave lens, have been recently investigated by using a static and spherically symmetric modified spacetime metric that depends on the inverse distance to the $n$-th power…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Koki Nakajima , Koji Izumi , Hideki Asada

The study of the magnification bias produced on high-redshift sub-millimetre galaxies by foreground galaxies through the analysis of the cross-correlation function was recently demonstrated as an interesting independent alternative to the…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-24 J. Gonzalez-Nuevo , M. M. Cueli , L. Bonavera , A. Lapi , M. Migliaccio , F. Argüeso , L. Toffolatti

Cosmological structures grow differently in theories of gravity which are modified as compared to Einstein's General relativity (GR). Cosmic microwave background (CMB) fluctuation patterns at the last scattering surface are lensed by these…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-12 Toshiya Namikawa , François R. Bouchet , Atsushi Taruya

A long standing question in cosmology is whether gravitational lensing changes the distance-redshift relation $D(z)$ or the mean flux density of sources. Interest in this has been rekindled by recent studies in non-linear relativistic…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-16 Nick Kaiser , John A. Peacock

The cosmic microwave background (CMB) represents a unique source for the study of gravitational lensing. It is extended across the entire sky, partially polarized, located at the extreme distance of z=1100, and is thought to have the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Duncan Hanson , Anthony Challinor , Antony Lewis

This is a general work on gravitational lensing. We present new expressions for the optical scalars and the deflection angle in terms of the energy-momentum tensor components of matter distributions. Our work generalizes standard references…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Emanuel Gallo , Osvaldo M. Moreschi

An important concern in the application of gamma-ray bursts (GRBs) to cosmology is that the calibration of GRB luminosity/energy relations depends on the cosmological model, due to the lack of a sufficient low-redshift GRB sample. In this…

Astrophysics · Physics 2009-11-13 Nan Liang , Wei Ke Xiao , Yuan Liu , Shuang Nan Zhang

Gravitational lensing of high-redshift supernovae is potentially an important source of uncertainty when deriving cosmological parameters from the measured brightness of Type Ia supernovae, especially in deep surveys with scarce statistics.…

The effects of gravitational lensing of the cosmic microwave background (CMB) have been measured at high significance with existing data and will be measured even more precisely in future surveys. Reversing the effects of lensing on the…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-20 Selim C. Hotinli , Joel Meyers , Cynthia Trendafilova , Daniel Green , Alexander van Engelen

We investigate the Lorentz symmetry breaking effects (LSBE) on the deflection of light by a rotating cosmic string spacetime in the weak limit approximation. We first calculate the deflection angle by a static cosmic string for a fixed…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Kimet Jusufi , İzzet Sakallı , Ali Övgün

Gravitational lensing distorts the cosmic microwave background (CMB) temperature and polarization fields and encodes valuable information on distances and growth rates at intermediate redshifts into the lensed power spectra. The…

Astrophysics · Physics 2008-11-26 Kendrick M. Smith , Wayne Hu , Manoj Kaplinghat

Due to the lack of low redshift long Gamma-Ray Bursts (GRBs), the circular problem has been a severe obstacle for using GRBs as cosmological candles. In this paper, we present a new method to deal with such a problem in MCMC global fitting…

Astrophysics · Physics 2010-11-11 Hong Li , Jun-Qing Xia , Jie Liu , Gong-Bo Zhao , Zu-Hui Fan , Xinmin Zhang

We calculate the deflection angle, as well as the positions and magnifications of the lensed images, in the case of covariant $f(T)$ gravity. We first extract the spherically symmetric solutions for both the pure-tetrad and the covariant…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-26 Xin Ren , Yaqi Zhao , Emmanuel N. Saridakis , Yi-Fu Cai

Weak lensing of galaxies and CMB photons through the large-scale structure of the Universe is one of the most promising cosmological probes with upcoming experiments dedicated to its measurements such as Euclid/LSST and CMB Stage 4…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Alexandre Barthelemy , Sandrine Codis , Francis Bernardeau