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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…

General Relativity and Quantum Cosmology · Physics 2024-12-24 Xinguang Ying , Junji Jia

A phenomenological anisotropic variation \Delta G/G of the Newtonian gravitational coupling parameter G, if real, would affect the orbital dynamics of a two-body gravitationally bound system in a specific way. We analytically work out the…

General Relativity and Quantum Cosmology · Physics 2011-11-02 Lorenzo Iorio

The $ \gamma $-spacetime metric is a static and axially symmetric vacuum solution of the Einstein equation. This spacetime represents a naked singularity and it has an extra parameter $ \gamma $ which signifies deviations from spherical…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Hrishikesh Chakrabarty , Yong Tang

We show that a cosmic standard ruler can be constructed from the joint measurement of the time delay (dt) between gravitationally lensed quasar images and the velocity dispersion (sigma^2) of the lensing galaxy. This is specifically shown,…

Cosmology and Nongalactic Astrophysics · Physics 2009-12-06 Danuta Paraficz , Jens Hjorth

We devise a test of nonlinear departures from general relativity (GR) using time delays in strong gravitational lenses. We use a phenomenological model of gravitational screening as a step discontinuity in the measure of curvature per unit…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-04 Dhrubo Jyoti , Julian B. Munoz , Robert R. Caldwell , Marc Kamionkowski

The stellar orbital anisotropy parameter ($\beta_{\rm ani}$) is a persistent systematic uncertainty in galaxy-scale strong gravitational lensing (SGL) cosmology. Typically fixed to isotropy or a local prior, it frequently degenerates with…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-20 Jian Hu , Yi Liu , Jian-Ping Hu , Zhongmu Li

This paper investigates the spin precession of test particles moving in the equatorial plane of general stationary and axisymmetric spacetimes using the Mathisson-Papapetrou-Dixon equations. The spin precession angles for two cases, the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Shaofei Xu , Junji Jia

In this work we study the deflection and gravitational lensing of null and timelike signals in the Kiselev spacetime in the weak field limit, to investigate the effects of the equation of state parameter $\omega$ and the matter amount…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Haotian Liu , Jinning Liang , Junji Jia

We investigate the effects of gravitational lensing in the binary pulsar system J0737-3039. Current measurement of the orbital inclination allows the millisecond pulsar (A) to pass very close (at R_{min}=4000 km) in projection to the…

Astrophysics · Physics 2009-11-10 Dong Lai , Roman R. Rafikov

In this paper, we investigate the strong gravitational lensing by the stationary, axially-symmetric black hole in Kerr-Taub-NUT spacetime in the strong field limit. The deflection angle of light ray and other strong deflection limit…

High Energy Physics - Theory · Physics 2015-03-19 Shao-Wen Wei , Yu-Xiao Liu , Chun-E Fu , Ke Yang

In this paper we consider the possibility of measuring the corrections induced by the square of the parameter a_g of the Kerr metric to the general relativistic deflection of electromagnetic waves and time delay in an Earth based…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lorenzo Iorio

Future large ensembles of time delay lenses have the potential to provide interesting cosmological constraints complementary to those of other methods. In a flat universe with constant w including a Planck prior, LSST time delay…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-13 Dan Coe , Leonidas Moustakas

We study causality in gravitational systems beyond the classical limit. Using on-shell methods, we consider the one-loop corrections from charged particles to the photon energy-momentum tensor - the self-stress - that controls the quantum…

High Energy Physics - Theory · Physics 2022-06-08 Brando Bellazzini , Giulia Isabella , Matthew Lewandowski , Francesco Sgarlata

The theory of gravitational lensing has revealed many generic and fundamental properties of compact objects like black holes and wormholes. In this article, we utilize a recent formulation to compute the quantum effects on the deflection…

General Relativity and Quantum Cosmology · Physics 2018-01-11 Kimet Jusufi , Farook Rahaman , Ayan Banerjee

Gravitational lensing by rotating extended deflectors is discussed. Due to spin, corrections on image positions, caustics and critical curves can be significant. In order to obtain realistic quantitative estimates, the lens is modeled as a…

Astrophysics · Physics 2009-11-10 M. Sereno

Sagittarius A* (Sgr A*) exhibits frequent flaring activity across the electromagnetic spectrum, often associated with a localized region of strong emission, known as a hot spot. We aim to establish an empirical relationship linking key…

High Energy Astrophysical Phenomena · Physics 2026-02-25 A. I. Yfantis , D. C. M. Palumbo , M. Mościbrodzka

The leading-order gravitational time delay of relativistic neutral massive particles (e.g., neutrinos or high-energy cosmic-ray particles) caused by a moving Schwarzschild black hole with a constant radial velocity is investigated for the…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Guansheng He , Wenbin Lin , Yi Xie

In this work we study the deflection angle $\Delta \varphi$ and gravitational lensing of both lightlike and timelike neutral rays in Reissner-Nordstr\"om (RN) spacetimes. The exact deflection angle is found as an elliptical function of the…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Xiankai Pang , Junji Jia

Modifications to the classic time-delay effect and Doppler shift in General Relativity (GR) are studied in the context of the Lorentz-violating Standard-Model Extension (SME). We derive the leading Lorentz-violating corrections to the…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Quentin G. Bailey

We compare and contrast gravitational lensing, in the strong-field limit, by photon sphere in spherically symmetric regular electrically charged (REC) black holes ($0<b\leq b_E$) and with those by corresponding REC no-horizon spacetimes…

General Relativity and Quantum Cosmology · Physics 2022-10-21 Jitendra Kumar , Shafqat Ul Islam , Sushant G. Ghosh