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We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as…

High Energy Physics - Theory · Physics 2012-09-17 José Bernabeu , Domènec Espriu , Daniel Puigdomènech

We study the gravitational Faraday rotation, on linearly polarized light rays emitted by a pulsar, orbiting another compact object. We relate the rotation angle to the orbital phase of the emitting pulsar, as well as to other parameters…

Astrophysics · Physics 2008-11-26 Matteo Luca Ruggiero , Angelo Tartaglia

The gravitational radiation backreaction effects are considered in the Lense-Thirring approximation. New methods for parameterizing the orbit and for averaging the instantaneous radiative losses are developed. To first order in the spin S…

General Relativity and Quantum Cosmology · Physics 2009-10-30 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

We extend the results obtained in \cite{Piattella_2016, mcvittie_2015} and \cite{Park_2008} for gravitational lensing in the McVittie metric by including the effect of the transition from the matter-dominated epoch of the Universe to the…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-21 Pedro Bessa , Oliver F. Piattella

The propagation of gravitational waves can be described in terms of null geodesics by using the geometrical optics approximation. However, at large but finite frequencies the propagation is affected by the spin-orbit coupling corrections to…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Marius A. Oancea , Richard Stiskalek , Miguel Zumalacárregui

Gravitational Faraday Rotation (GFR) is a frame-dragging effect induced by rotating massive objects, which is one of the important, yet studied characteristics of lensed gravitational waves (GWs). In this work, we calculate the GFR angle…

General Relativity and Quantum Cosmology · Physics 2022-11-09 Zhao Li , Jin Qiao , Wen Zhao , Xinzhong Er

We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Xiao-Jun Gao , Xiao-kun Yan , Yihao Yin , Ya-Peng Hu

We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering…

High Energy Physics - Theory · Physics 2021-03-24 Ratindranath Akhoury , Ryo Saotome , George Sterman

We develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the…

High Energy Physics - Theory · Physics 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

It is known that the gravitational analog of the Faraday rotation arises in the rotating spacetime due to the nonzero gravitomagnetic field. In this paper, we show that it also arises in the "nonrotating" Reissner-Nordstr\"om spacetime, if…

General Relativity and Quantum Cosmology · Physics 2022-04-01 Chandrachur Chakraborty

We investigate the gravitational lensing effects of a static spherically symmetric black hole (BH) within the framework of the revised Deser-Woodard (D-W) nonlocal gravity. By analyzing the deflection angle in both the weak and strong field…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Haida Li , Xiangdong Zhang

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

Spherically symmetric black holes produce, by strong field lensing, two infinite series of relativistic images, formed by light rays winding around the black hole at distances comparable to the gravitational radius. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2010-02-23 V. Bozza

We review the theoretical aspects of gravitational lensing by black holes, and discuss the perspectives for realistic observations. We will first treat lensing by spherically symmetric black holes, in which the formation of infinite…

General Relativity and Quantum Cosmology · Physics 2014-11-20 V. Bozza

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Antoine Klein , Philippe Jetzer

We consider a situation in which light emitted from the neighborhood of a binary interacts with gravitational waves from the binary (e.g., a supermassive black hole binary in a quasar, a binary pulsar, etc.). The effect is cumulative over…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Dong-Hoon Kim

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the…

High Energy Physics - Theory · Physics 2020-07-15 Clifford Cheung , Mikhail P. Solon

Gravitational waves exhibit the unique signature of their spin-2 nature in processes of wave scattering, due to the interaction between spin and a background spacetime. Since the spin effect is more pronounced for longer wavelengths and…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Hayato Motohashi , Shinji Mukohyama

We study propagation of high-frequency electromagnetic and gravitational waves in the gravitational field of a rotating black hole. Due to the interaction of the spin of the field with the spacetime curvature, the standard geometric optics…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Valeri P. Frolov , Alex Koek

In this paper we look at the gravitational spin--spin interaction between macroscopic astronomical bodies. In particular, we calculate their post--Newtonian orbital effects of order $\mathcal{O}(c^{-2})$ on the trajectory of a spinning…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio