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相关论文: The Jacobi map for gravitational lensing: the role…

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The precision reached by current and forthcoming strong-lensing observations requires to accurately model various perturbations to the main deflector. Hitherto, theoretical models have been developed to account for either cosmological…

广义相对论与量子宇宙学 · 物理学 2022-05-10 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

Cosmological weak lensing has been a highly successful and rapidly developing research field since the first detection of cosmic shear in 2000. However, it has recently been pointed out in Yoo et al. that the standard weak lensing formalism…

宇宙学与河外天体物理 · 物理学 2018-08-03 Nastassia Grimm , Jaiyul Yoo

Generalizing a result for the binary lens, similar alternative expressions are also given for the Jacobian determinant for a gravitational lens consisting of an arbitrary number of discrete lensing centres, with arbitrary masses and…

天体物理学 · 物理学 2007-05-23 T. Richard Carson

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…

广义相对论与量子宇宙学 · 物理学 2010-10-19 Volker Perlick

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…

广义相对论与量子宇宙学 · 物理学 2026-04-09 Romy Hanang Setya Budhi

In this paper we build the general formalism of gravitational lensing in luminal Horndeski theories, deriving the Jacobi matrix equation and the general angular diameter distance in these theories through the screen space formalism. We…

广义相对论与量子宇宙学 · 物理学 2023-08-07 Pedro Bessa

We develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics. The geodesics of the spacetime are expressed as integral…

广义相对论与量子宇宙学 · 物理学 2025-08-19 Thomas P. Kling , Sophia MacQueen Pooler

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…

广义相对论与量子宇宙学 · 物理学 2011-05-12 Emanuel Gallo , Osvaldo M. Moreschi

The standard definition of gravitational lensing magnification is generalized to Lorentzian spacetimes, and it is shown how it can be interpreted geometrically in terms of the van Vleck determinant and the exponential map. This is joint…

广义相对论与量子宇宙学 · 物理学 2015-07-21 Marcus C. Werner

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

The study of light lensed by cosmic matter has yielded much information about astrophysical questions. Observations are explained using geometrical optics following a ray-based description of light. After deflection the lensed light…

天体物理仪器与方法 · 物理学 2023-06-22 Valeria Rodriguez-Fajardo , Thao P. Nguyen , Kiyan S. Hocek , Jacob M. Freedman , Enrique J. Galvez

We compute the weak lensing Jacobi map at first order in perturbation theory and show that it is both, gauge invariant and symmetric. Linear perturbations therefore do not induce any rotation. However, vector and tensor perturbations do…

宇宙学与河外天体物理 · 物理学 2022-08-26 Giuseppe Fanizza , Enea Di Dio , Ruth Durrer , Giovanni Marozzi

Gravitational lensing by a spinning deflector in translational motion relative to the observer is discussed in the weak field, slow motion approximation. The effect of rotation, which generates an intrinsic gravito-magnetic field, separates…

天体物理学 · 物理学 2009-11-10 M. Sereno

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…

天体物理学 · 物理学 2008-11-26 M. Sereno

We first define what we mean by gravitational lensing equations in a general space-time. A set of exact relations are then derived that can be used as the gravitational lens equations in all physical situations. The caveat is that into…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Simonetta Frittelli , Ezra T. Newman

In a general-relativistic spacetime (Lorentzian manifold), gravitational lensing can be characterized by a lens map, in analogy to the lens map of the quasi-Newtonian approximation formalism. The lens map is defined on the celestial sphere…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Volker Perlick

In this article, we discuss the idea of gravitational lensing, from a systematic, historical and didactic point of view. We show how the basic lensing equation together with the concepts of geometrical optics opens a space of implications…

物理学史与哲学 · 物理学 2019-05-20 Tilman Sauer , Tobias Schütz

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…

广义相对论与量子宇宙学 · 物理学 2025-06-19 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória , Marcos V. de S. Silva , H. Belich

When the gravitational lensing potential can be approximated by that of circularly symmetric system affected by weak perturbations, it is found that the shape of the resulting (tangential) caustics is entirely specified by the local…

天体物理学 · 物理学 2007-05-23 Jin H. An

We found strong similarities between the gravitational lensing and the conventional optical lensing. The similarities imply a graded refractive index description of the light deflection in gravitational field. We got a general approach to…

广义相对论与量子宇宙学 · 物理学 2009-11-13 Xing-Hao Ye , Qiang Lin
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