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This paper investigates off-equatorial plane deflections and gravitational lensing of both null signals and massive particles in Kerr spacetime in the weak deflection limit, with the finite distance effect of the source and detector taken…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Tingyuan Jiang , Xiaoge Xu , Junji Jia

We employ Bozza's method to calculate the deflection angle of light in the presence of the strong gravitational field generated by an improved Schwarzschild-like black hole whose metric, regular throughout the entire spacetime, was derived…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Javier Chagoya , I. Díaz-Saldaña , Benito Rodríguez , Wilfredo Yunpanqui

We investigate two general relativistic effects - namely, the Shirokov and Shapiro effects - within the framework of the Zipoy-Voorhees spacetime ($q$-metric), which generalizes the Schwarzschild solution by incorporating a quadrupole…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Daniya Utepova , Kuantay Boshkayev , Serzhan Momynov , Anuar Idrissov , Gulzada Baimbetova , Hernando Quevedo , Ainur Urazalina

The total light deflection represents a concept, which allows one to decide which multipoles need to be implemented in the light trajectory for a given astrometric accuracy. The fundamental quantity of total light deflection is the tangent…

General Relativity and Quantum Cosmology · Physics 2023-11-02 Sven Zschocke

The deflection of gamma-rays in Earth's gravitational field is tested in laser Compton scattering at high energy accelerators. Within a formalism connecting the bending angle to the photon's momentum it follows that detected gamma-ray…

General Physics · Physics 2022-06-30 Vahagn Gharibyan

The purpose of this article is twofold. First, we extend the results presented in [Gabriel Crisnejo and Emanuel Gallo, Phys.Rev.D 97, 124016 (2018)] to stationary spacetimes. Specifically, we show that the Gauss-Bonnet theorem can be…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Gabriel Crisnejo , Emanuel Gallo , Kimet Jusufi

The flux ratios of strongly lensed quasars have previously been used to infer the properties of dark matter. In these analyses it is crucial to separate the effect of the main lensing galaxy and the low-mass dark matter halo population. In…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-19 Jacob S. Cohen , Christopher D. Fassnacht , Conor M. O'Riordan , Simona Vegetti

Gravitational light deflection is known as one of three classical tests of general relativity and the angle of deflection may be computed explicitly using approximate or exact solutions describing the gravitational force generated from a…

General Relativity and Quantum Cosmology · Physics 2018-09-28 Chenmei Xu , Yisong Yang

The Generator Coordinate Method (GCM) in the Gaussian Overlap Approximation (GOA) is applied to a description of the nuclear quadrupole collective states. The full five-dimensional quadrupole tensor is used as a set of the generator…

Nuclear Theory · Physics 2015-06-04 Stanisław G. Rohoziński

The 0th order of affine perturbation series of the deflection angle of a ray near a photon sphere is more accurate than a deflection angle in a strong deflection limit, which is used often, because the later has hidden error terms. We…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Naoki Tsukamoto

In this paper, we establish a generalized geometric framework based on the Gauss-Bonnet theorem and the Jacobi metric to investigate the gravitational deflection of massive spinning particles up to the quadrupole order $\mathcal{O}(s^2)$.…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Hoang Van Quyet

The proper motion (also known as position drift) field of extragalactic sources at cosmological distances across our sky can be used to measure the acceleration of the Solar System through the aberration effect. If measured very precisely,…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-06 Andreas Tsigkas Kouvelis , Asta Heinesen , Shashank Shalgar , Mikołaj Korzyński

The Shapiro effect, also known as the gravitational time delay, is close kin to the gravitational deflection of light that was the central topic of our Summer School. It is also an interesting test bed for exploring a topic that provides…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Markus Pössel

Light deflection in the post-linear gravitational field of two bounded point-like masses is treated. Both the light source and the observer are assumed to be located at infinity in an asymptotically flat space. The equations of light…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Michael H. Brügmann

This paper discusses the effects of gravitational waves on high-accuracy astrometric observations such as those delivered by Gaia. Depending on the frequency of gravitational waves, two regimes for the influence of gravitational waves on…

High Energy Astrophysical Phenomena · Physics 2018-02-14 Sergei A. Klioner

In this paper, we present a spherical Fast Multipole Method (sFMM) for ray tracing simulation of gravitational lensing (GL) on a curved sky. The sFMM is a non-trivial extension of the Fast Multiple Method (FMM) to sphere $\mathbb S^2$, and…

Instrumentation and Methods for Astrophysics · Physics 2023-05-17 Xingpao Suo , Xi Kang , Chengliang Wei , Guoliang Li

Some years ago, a new powerful technique, known as the Classical Effective Field Theory, was proposed to describe classical phenomena in gravitational systems. Here we show how this approach can be useful to investigate theoretically…

High Energy Physics - Theory · Physics 2008-12-18 Vitor Cardoso , Oscar J. C. Dias , Pau Figueras

The detailed study of the strong gravitational lensing of a Kerr black hole within Quantum Einstein Gravity (QEG) is performed. We calculate the photon sphere, the deflection angle of light, and observables on the equatorial plane under the…

General Relativity and Quantum Cosmology · Physics 2024-09-09 Chen-Hao Xie , Yu Zhang , Bo-Li Liu , Peng-Fei Duan , Yu-Li Lou

The time delay of a light signal in the quadrupole field of a body at rest is determined in the second post-Newtonian (2PN) approximation in harmonic coordinates. For grazing light rays at Sun, Jupiter, and Saturn the 2PN quadrupole effect…

General Relativity and Quantum Cosmology · Physics 2022-11-29 Sven Zschocke

In strong gravitational lens systems, the light bending is usually dominated by one main galaxy, but may be affected by other mass along the line of sight (LOS). Shear and convergence can be used to approximate the contributions from less…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-09 Curtis McCully , Charles R. Keeton , Kenneth C. Wong , Ann I. Zabludoff