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Deviations from the Friedmann-Robertson-Walker (FRW) cosmological model in the form of density inhomogeneities induce observational effects on the light propagating through these fluctuations. Using a rigorously parametrized metric whose…

Astrophysics · Physics 2007-05-23 Eric V. Linder

We present a pedagogical derivation of the Sachs-Wolfe effect, specifically the factor 1/3 relating the temperature fluctuations to gravitational potentials. The result arises from a cancellation between gravitational redshifts and…

Astrophysics · Physics 2009-08-18 Martin White , Wayne Hu

We study the behavior of light rays in perturbed Robertson-Walker cosmologies, calculating the redshift between an observer and the surface of last scattering to second order in the metric perturbation. At first order we recover the classic…

Astrophysics · Physics 2008-11-26 Ted Pyne , Sean M. Carroll

The frequency shift of light in the gravitational field generated by a rotating body is investigated. We consider the scenario in which both the light source and the observer are in motion. The frequency shift is calculated up to the…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Chunhua Jiang , Bo Yang , Guansheng He , Wenbin Lin

We present a coherent theoretical framework for computing gravitational lensing effects and redshift-space distortions in an inhomogeneous universe and investigate their impacts on galaxy two-point statistics. Adopting the linearized FRW…

Astrophysics · Physics 2009-11-13 Jaiyul Yoo

Gravitational waves are messengers carrying valuable information about their sources. For sources at cosmological distances, the waves will contain also the imprint left by the intervening matter. The situation is in close analogy with…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Pablo Laguna , Shane L. Larson , David Spergel , Nicolas Yunes

In this letter a new formula for light deflection is derived using only physically observable concepts. The general result is specialized to cosmological perturbation theory and expressed in terms of gauge--invariant perturbation variables.…

Astrophysics · Physics 2009-10-22 Ruth Durrer

We present a new approach to the Sachs-Wolfe effect, which is based on the dynamics of photons in a space and time varying gravitational field. We consider the influence of plasma dispersion effects on photon propagation, and establish the…

Astrophysics · Physics 2013-01-09 J. Tito Mendonca , Robert Bingham , Charles H. -T. Wang

In 2007 Rindler and Ishak showed that, contrary to previous claims, the value of the cosmological constant does have an effect on light deflection by a gravitating object in an expanding universe, modeled by a Schwarzschild-de~Sitter…

General Relativity and Quantum Cosmology · Physics 2018-05-25 Mir Emad Aghili , Brett Bolen , Luca Bombelli

In the present work, we theoretically investigate light deflection in the weak and strong field regimes for two regular spacetimes with corrections from loop quantum gravity. We treat analytically the expansions for both limits and use them…

General Relativity and Quantum Cosmology · Physics 2025-06-19 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória , Marcos V. de S. Silva , H. Belich

We investigate possible quantum gravity (QG) effects on the gravitational deflection of light. Two forms of deformation of the Schwarzschild spacetime are proposed. The first ansatz is a given Finslerian line element, it could be regarded…

General Relativity and Quantum Cosmology · Physics 2010-12-24 Xin Li , Zhe Chang

The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations. More precisely, the review covers all aspects of gravitational lensing where light propagation is described in terms of…

General Relativity and Quantum Cosmology · Physics 2010-10-19 Volker Perlick

When the gravitational lensing of the large-scale structure is calculated from a cosmological model a few assumptions enter: $(i)$ one assumes that the photons follow unperturbed background geodesics, which is usually referred to as the…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-28 Carolina Cuesta-Lazaro , Arnau Quera-Bofarull , Robert Reischke , Bjoern Malte Schaefer

We present a framework for studying gravitational lensing in spherically symmetric spacetimes using 1+1+2 covariant methods. A general formula for the deflection angle is derived and we show how this can be used to recover the standard…

General Relativity and Quantum Cosmology · Physics 2010-02-14 Bonita de Swardt , Peter K. S. Dunsby , Chris Clarkson

We consider the scattering of lightlike matter in the presence of a heavy scalar object (such as the Sun or a Schwarzschild black hole). By treating general relativity as an effective field theory we directly compute the nonanalytic…

High Energy Physics - Theory · Physics 2017-04-20 N. E. J. Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein , Ludovic Planté , Pierre Vanhove

We present a generalization and refinement of the Sachs-Wolfe technique which unifies many of the approaches taken to date and clarifies both the physical and the mathematical character of the method. We illustrate the formalism with a…

Astrophysics · Physics 2009-10-22 Ted Pyne , Mark Birkinshaw

In this paper, we recompute contributions to the spectrum of the nonlinear integrated Sachs-Wolfe (iSW)/Rees-Sciama effect in a dark energy cosmology. Focusing on the moderate nonlinear regime, all dynamical fields involved are derived from…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Philipp Merkel , Bjoern Malte Schaefer

We study the gravitational wave memory effect in spacetimes related to flat space by a conformal transformation. The discussion is general but the gravitational wave length scale is assumed to be small compared with the background curvature…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Niko Jokela , K. Kajantie , Miika Sarkkinen

The gravitational deflection of test particles including light, due to a radially moving Kerr-Newman black hole with an arbitrary constant velocity being perpendicular to its angular momentum, is investigated. In harmonic coordinates, we…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Guansheng He , Wenbin Lin

Both the non-homogeneous slowness of electromagnetic waves in gravitational fields and the frequency red shift contribute to the gravitational light bending. This twofold contribution explains the measured deflection of light rays by the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Igor Bulyzhenkov
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