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Both null and timelike rays experience trajectory bending in a gravitational field. In this work, we systematically develop a perturbative method to compute the deflection angle of rays with general velocity $v$ in arbitrary static and…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Junji Jia

Various authors have investigated the problem of light deflection by radially moving gravitational lenses - with inconsistent results. In this paper we generalize the calculations for arbitrary lens velocities and show that, to first order…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Ulrich Sperhake

The higher dimensional Weyl curvature induces on the brane a new source of gravity. This Weyl fluid of geometrical origin (reducing in the spherically symmetric, static configuration to a dark radiation and dark pressure) modifies…

General Relativity and Quantum Cosmology · Physics 2015-06-05 K. C. Wong , T. Harko , K. S. Cheng , L. Á. Gergely

In this paper we study the light bending caused by a slowly rotating source in the context of quadratic theories of gravity, in which the Einstein--Hilbert action is extended by additional terms quadratic in the curvature tensors. The…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Luca Buoninfante , Breno L. Giacchini

In this work, we study the gravitational lensing by a Lorentz-violating (LV) black hole inspired by the recent contribution [1]. Explicitly, we concentrate on a specific application: we perform the computation of gravitational lensing…

General Relativity and Quantum Cosmology · Physics 2025-11-21 A. A. Araújo Filho , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio

A method of general applicability has been developed, whereby the null geodesic equations of the Einstein-Straus-de Sitter metric can be integrated simultaneously in terms of the curvature constant $k$. The purpose is to generalize the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Mourad Guenouche

While most strong-gravitational-lensing systems may be roughly modelled by a single massive object between the source and the observer, in the details all the structures near the light path contribute to the observed images. These…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-01 Pierre Fleury , Julien Larena , Jean-Philippe Uzan

In this article we study gravitational lensing by non-rotating and asymptotically flat black holes in Horndeski theory. By adopting the strong deflection limit, we calculate the deflection angle, from which we obtain the positions and the…

General Relativity and Quantum Cosmology · Physics 2017-11-27 Javier Badía , Ernesto F. Eiroa

This paper investigates gravitational lensing in the strong deflection limit, focusing particularly on higher-order images produced near compact objects such as black holes and their observable impact through the visibility function.…

General Relativity and Quantum Cosmology · Physics 2025-08-06 Fabiano Feleppa , Fabio Aratore , Valerio Bozza

We investigate the possibility of measuring the Hubble constant, the fractional energy density components and the equation of state parameter of the ``dark energy'' using lensed multiple images of high-redshift supernovae. With future…

Astrophysics · Physics 2009-11-07 A. Goobar , E. Mortsell , R. Amanullah , P. Nugent

We model massive compact objects in galactic nuclei as stationary, axially-symmetric naked singularities in the Einstein-massless scalar field theory and study the resulting gravitational lensing. In the weak deflection limit we study…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Galin N. Gyulchev , Stoytcho S. Yazadjiev

We present a dark fluid model which contains the general linear equation of state including the gravitation term. The obtained spherical symmetric Euler equation and the continuity equation was investigated with the Sedov-type…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Imre F. Barna , Mihály A. Pocsai , Gergely Gábor Barnaföldi

We consider a spacetime with empty Schwarzschild-de Sitter exterior and Schwarzschild-de Sitter interior metric for a spherical fluid with constant density. The fluid interior may be taken to represent a galaxy supercluster, for which the…

General Relativity and Quantum Cosmology · Physics 2010-04-29 David Klein , Peter Collas

Several recent papers have suggested that the cosmological constant Lambda directly influences the gravitational deflection of light. We place this problem in a cosmological context, deriving an expression for the linear potentials which…

Astrophysics · Physics 2012-01-16 Fergus Simpson , John A. Peacock , Alan F. Heavens

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…

General Relativity and Quantum Cosmology · Physics 2023-08-07 Pedro Bessa

The current study aims to examine the impact of the boundary term on the bending angle of light for a static spherically symmetric black hole in the modified gravity described by the $f(\mathcal{T}, \mathcal{B})$ function. To accomplish…

General Relativity and Quantum Cosmology · Physics 2023-08-30 Nashiba Parbin , Dhruba Jyoti Gogoi , Jyatsnasree Bora , Umananda Dev Goswami

We study the bending of light for static spherically symmetric (SSS) space-times which include a dark energy contribution. Geometric dark energy models generically predict a correction to the Einstein angle written in terms of the distance…

Astrophysics · Physics 2008-11-26 Fabio Finelli , Matteo Galaverni , Alessandro Gruppuso

LISA might detect gravitational waves from mergers of massive black hole binaries strongly lensed by intervening galaxies (Sereno et al. 2010). The detection of multiple gravitational lensing events would provide a new tool for cosmography.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 M. Sereno , Ph. Jetzer , A. Sesana , M. Volonteri

The Lense--Thirring spacetime describes a 4-dimensional slowly rotating approximate solution of vacuum Einstein equations valid to a linear order in rotation parameter. It is fully characterized by a single metric function of the…

High Energy Physics - Theory · Physics 2022-04-27 Finnian Gray , Robie A. Hennigar , David Kubiznak , Robert B. Mann , Manu Srivastava

It is believed that rays bent inside and outside photon spheres could affect partially the black hole shadow images by the Event Horizon Telescope and the rays near photon spheres would be detected by near-future space observations. The…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Naoki Tsukamoto
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