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Gravitational lensing can happen not only for null signal but also timelike signals such as neutrinos and massive gravitational waves in some theories beyond GR. In this work we study the time delay between different relativistic images…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Haotian Liu , Junji Jia

We study the deflection and gravitational lensing (GL) of both timelike and null signals in the equatorial plane of arbitrary stationary and axisymmetric spacetimes in the strong deflection limit. Our approach employs a perturbative method…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Yujie Duan , Siyan Lin , Junji Jia

Time delay in Schwarzschild spacetime for null and timelike signals with arbitrary velocity $v$ is studied. The total travel time $t_\mathrm{if}$ is evaluated both exactly and approximately in the weak field limit, with the result given as…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Junji Jia , Haotian Liu

A perturbative method to compute the total travel time of both null and lightlike rays in arbitrary static spherically symmetric spacetimes in the weak field limit is proposed. The resultant total time takes a quasi-series form of the…

General Relativity and Quantum Cosmology · Physics 2021-09-01 Haotian Liu , Junji Jia

Spin of a test particle is a fundamental property that can affect its motion in a gravitational field. In this work we consider the effect of particle spin on its deflection angle and gravitational lensing in the equatorial plane of…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Zhuoming Zhang , Gaofeng Fan , Junji Jia

The deflection and gravitational lensing of light and massive particles in arbitrary static, spherically symmetric and asymptotically (anti-)de Sitter spacetimes are considered in this work. We first proved that for spacetimes whose metric…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Zixiao Li , Haotian Liu , Junji Jia

We derive the delay in travel time of photons due to the spin of a body both inside a rotating shell and outside a rotating body. We then show that this time delay by the spin of an astrophysical object might be detected in different images…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ignazio Ciufolini , Franco Ricci

In this work, we investigate the gravitational lensing of a charged black hole (spherically symmetric) within the context of Lorentz violation triggered by an antisymmetric tensor field. Our calculations consider two different scenarios:…

General Relativity and Quantum Cosmology · Physics 2025-07-04 A. A. Araújo Filho

We explore the universal symmetries of the black hole photon ring in a wide range of non-Kerr spacetimes, including the Kerr-Newman, Kerr-Sen, Kerr-Bardeen, and Kerr-Hayward metrics. The demagnification exponent ($\gamma$) controls the size…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Rahul Kumar Walia , Prashant Kocherlakota , Dominic O. Chang , Kiana Salehi

This work studies the periapsis shift in the equatorial plane of arbitrary stationary and axisymmetric spacetimes. Two perturbative methods are systematically developed. The first work for small eccentricity but very general orbit size and…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Jinhong He , Shaofei Xu , Junji Jia

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 study the time delay between two relativistic images due to strong gravitational lensing of the light rays caused by the Kerr and Kerr-Newman black holes. The trajectories of the light rays are restricted on the equatorial plane. Using…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Tien Hsieh , Da-Shin Lee , Chi-Yong Lin

One application of the Cosmological Gravitational Lensing in General Relativity is the measurement of the Hubble constant H_0 using the time delay Delta t between multiple images of lensed quasars. This method has already been applied,…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-27 Nicola Alchera , Marco Bonici , Nicola Maggiore

The distribution of differential time delays \Delta t between images produced by strong gravitational lensing contains information on the mass distributions in the lensing objects as well as on cosmological parameters such as H_0. We derive…

Astrophysics · Physics 2009-11-07 Masamune Oguri , Atsushi Taruya , Yasushi Suto , Edwin L. Turner

Measuring the astrometric and spectroscopic data of stars orbiting the central black hole in our galaxy (Sgr A*) offers a promising way to measure relativistic effects. In principle, the "no-hair" theorem can be tested at the Galactic…

Astrophysics of Galaxies · Physics 2026-03-11 K. Abd El Dayem , F. H. Vincent , G. Heissel , T. Paumard , G. Perrin

Gravitational lens models, some of which might act as if a concave lens, have been recently investigated by using a static and spherically symmetric modified spacetime metric that depends on the inverse distance to the $n$-th power…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Koki Nakajima , Koji Izumi , Hideki Asada

We introduce a new general-relativistic timing observable that measures the breaking of reflection symmetry in photon arrival times caused by black hole spin. Using backward ray tracing in the Kerr spacetime, we construct time-delay maps…

High Energy Astrophysical Phenomena · Physics 2026-05-14 Shakibul Chowdhury

The massive black hole at the Galactic center Sgr A* is surrounded by a cluster of stars orbiting around it. Light from these stars is bent by the gravitational field of the black hole, giving rise to several phenomena: astrometric…

Astrophysics of Galaxies · Physics 2015-06-04 V. Bozza , L. Mancini

The time delay of a light signal which propagates in the gravitational field of an isolated body is considered. The body can be of arbitrary but time-independent shape and inner structure and can be in uniform rotational motion, while the…

General Relativity and Quantum Cosmology · Physics 2024-03-20 Sven Zschocke

The construction of the cosmic distance-duality relation (CDDR) has been widely studied. However, its consistency with various new observables remains a topic of interest. We present a new way to constrain the CDDR $\eta(z)$ using different…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee , R. F. L. Holanda
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