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Gravitational lenses are examined in de-Sitter (dS) background, for which the existence of the dS horizon is taken into account and hyperbolic trigonometry is used together with the hyperbolic angular diameter distance. Spherical…

广义相对论与量子宇宙学 · 物理学 2022-06-08 Keita Takizawa , Hideki Asada

An exact solution is obtained for the gravitational bending of light in static, spherically symmetric metrics which includes the Schwarzschild-de Sitter spacetime and also the Mannheim-Kazanas metric of conformal Weyl gravity. From the…

广义相对论与量子宇宙学 · 物理学 2017-01-06 Yen-Kheng Lim , Qing-hai Wang

We discuss, without assuming asymptotic flatness, a gravitational lens for an observer and source that are within a finite distance from a lens object. The proposed lens equation is consistent with the deflection angle of light that is…

广义相对论与量子宇宙学 · 物理学 2020-09-30 Keita Takizawa , Toshiaki Ono , Hideki Asada

We calculate the deflection angle of light from a distant source by a galaxy cluster in Weyl's conformal gravity. The general method of calculation is first applied to calculate the deflection angle in Schwarzschild-de Sitter (Kottler)…

广义相对论与量子宇宙学 · 物理学 2019-10-18 Oguzhan Kasikci , Cemsinan Deliduman

The null geodesic equations that describe motion of photons in Kerr spacetime are solved exactly in the presence of the cosmological constant $\Lambda$. The exact solution for the deflection angle for generic light orbits (i.e. non-polar,…

广义相对论与量子宇宙学 · 物理学 2011-04-08 G. V. Kraniotis

We study light propagation and gravitational lensing in scalar-tensor theories of gravity by using a static, axisymmetric exterior solution. The solution has asymptotic flatness properties and is reduced to Voorhees's one in the case of a…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Shin-ei Tsuneishi , Kazuya Watanabe , Tooru Tsuchida

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

Weyl's conformal gravity theory, which is considered as a compelling alternative to general relativity theory, has been claimed to describe the observed flat rotation curve feature of spiral galaxies without the need of invoking dark…

广义相对论与量子宇宙学 · 物理学 2023-07-12 Shubhrangshu Ghosh , Mahasweta Bhattacharya , Yanzi Sherpa , Arunava Bhadra

The gravitational deflection angle of light for an observer and source at finite distance from a lens object has been studied by Ishihara et al. [Phys. Rev. D, 94, 084015 (2016)], based on the Gauss-Bonnet theorem with using the optical…

广义相对论与量子宇宙学 · 物理学 2020-05-27 Keita Takizawa , Toshiaki Ono , Hideki Asada

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…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Galin N. Gyulchev , Stoytcho S. Yazadjiev

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

In this work, we develop a general perturbative procedure to find the off-equatorial plane deflections in the weak deflection limit in general stationary and axisymmetric spacetimes, allowing the existence of the generalized Carter…

广义相对论与量子宇宙学 · 物理学 2024-12-24 Xinguang Ying , Junji Jia

We reconsider the widely held view that the Mannheim--Kazanas (MK) vacuum solution for a static, spherically-symmetric system in conformal gravity (CG) predicts flat rotation curves, such as those observed in galaxies, without the need for…

广义相对论与量子宇宙学 · 物理学 2021-09-13 Michael Hobson , Anthony Lasenby

We discuss a possible extension of calculations of the bending angle of light in a static, spherically symmetric and asymptotically flat spacetime to a non-asymptotically flat case. We examine a relation between the bending angle of light…

广义相对论与量子宇宙学 · 物理学 2016-10-19 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Takao Kitamura , Hideki Asada

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

广义相对论与量子宇宙学 · 物理学 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

The null geodesics that describe photon orbits in the spacetime of a rotating electrically charged black hole (Kerr-Newman) are solved exactly including the contribution from the cosmological constant. We derive elegant closed form…

广义相对论与量子宇宙学 · 物理学 2015-02-27 G. V. Kraniotis

We estimate the changes in solar system tests of general relativity when "dark energy" arises from a Weyl scaling invariant action, using the modified Schwarzschild-like spherically symmetric solution obtained in this case by Adler and…

广义相对论与量子宇宙学 · 物理学 2023-01-11 Stephen L. Adler

The method of Rindler and Ishak enables one to study how light is bent in the vicinity of a non-rotating and spherically symmetric gravitational lens. This method mainly aims to investigate the role of cosmological constant in the…

广义相对论与量子宇宙学 · 物理学 2022-08-08 Mert Mangut , Huriye Gürsel , İzzet Sakallı

A new geometric method to determine the deflection of light in the equatorial plane of the Kerr solution is presented, whose optical geometry is a surface with a Finsler metric of Randers type. Applying the Gauss-Bonnet theorem to a…

广义相对论与量子宇宙学 · 物理学 2015-06-05 M. C. Werner

We study the gravitational lensing scenario where the lens is a spherically symmetric charged black hole (BH) surrounded by quintessence matter. The null geodesic equations in the curved background of the black hole are derived. The…

广义相对论与量子宇宙学 · 物理学 2017-06-21 Mustapha Azreg-Aïnou , Sebastian Bahamonde , Mubasher Jamil
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