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The gravitational lensing signal produced by a galaxy or a galaxy cluster is determined by its total matter distribution, providing us with a way to directly constrain their dark matter content. State-of-the-art numerical simulations…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-27 Giulia Despali , Felix M. Heinze , Claudio Mastromarino

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

General Physics · Physics 2007-05-23 Yehea I. Ismail

We investigate the semiclassical approach to the lensing of photons in a spherically symmetric gravitational background, starting from Born level and include in our analysis the radiative corrections obtained from the electroweak theory for…

High Energy Physics - Phenomenology · Physics 2021-07-29 Claudio Coriano , Luigi Delle Rose , Matteo Maria Maglio , Mirko Serino

In the metric formulation gravitons are described with the parity symmetric $S_+^2\otimes S_-^2$ representation of Lorentz group. General Relativity is then the unique theory of interacting gravitons with second order field equations. We…

High Energy Physics - Theory · Physics 2015-10-27 Kirill Krasnov

In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfect non-relativistic fluid, in the weak deflection limit. We…

General Relativity and Quantum Cosmology · Physics 2008-12-18 G W Gibbons , M C Werner

We study gravitational lensing and the bending of light in low energy scale (M_S) gravity theories with extra space-time dimensions n. We find that due to the presence of spin-2 Kaluza-Klein states from compactification, a correction to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Gang He , Girish C. Joshi , Bruce H. J. McKellar

This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the PN approximation and the further gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Mariafelicia De Laurentis

The propagation of high-frequency gravitational waves can be analyzed using the geometrical optics approximation. In the case of large but finite frequencies, the geometrical optics approximation is no longer accurate, and…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Lars Andersson , Jérémie Joudioux , Marius A. Oancea , Ayush Raj

We study the bending of gravitons that pass near a massive object like the Sun, using scattering amplitudes in which the Sun is represented by a massive scalar particle. Our results complete previous work on the bending angles of massless…

High Energy Physics - Theory · Physics 2019-06-26 Huan-Hang Chi

The mathematical theory of gravitational lensing has revealed many generic and global properties. Beginning with multiple imaging, we review Morse-theoretic image counting formulas and lower bound results, and complex-algebraic upper bounds…

Astrophysics of Galaxies · Physics 2014-11-20 A. O. Petters , M. C. Werner

Graviton pairing and destruction of these pairs under collisions with bodies may lead to the Newtonian attraction. It opens us a new way to a very-low-energy quantum gravity model. In the model by the author, cosmological redshifts are…

High Energy Physics - Theory · Physics 2007-05-23 Michael A. Ivanov

We present equations for the gravitational lensing flexion expected for an elliptical lens mass distribution. These can be reduced to one-dimensional finite integrals, thus saving significant computing time over a full two-dimensional…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 A. J. Hawken , S. L. Bridle

We present a halo mass function accurate over the full relevant Hu-Sawicki $f(R)$ parameter space based on spherical collapse calculations and calibrated to a suite of modified gravity $N$-body simulations that include massive neutrinos. We…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-24 Steffen Hagstotz , Matteo Costanzi , Marco Baldi , Jochen Weller

Following Sereno (2002a), we discuss the bending of light rays by spherically symmetric lenses with angular momentum. For several astrophysical systems, such as white dwarfs and galaxies, gravitomagnetism induces a correction on the…

Astrophysics · Physics 2009-11-07 M. Sereno , V. F. CArdone

Both the non-homogeneous slowness of electromagnetic waves in gravitational fields and the frequency red shift contribute to the gravitational light bending. This twofold contribution explains the measured deflection of light rays by the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Igor Bulyzhenkov

I present a simple scheme for the treatment of gravitational interactions on galactic scales. In analogy to known mechanisms of quantum field theory, I assume ad hoc that gravitation is mediated by virtual exchange particles - gravitons -…

Astrophysics of Galaxies · Physics 2017-01-18 Sascha Trippe

Graviton-photon oscillation is the conversion of gravitational waves to electromagnetic waves and vice versa in the presence of a background electromagnetic field. We investigate this phenomenon in a cosmological scenario considering a…

General Relativity and Quantum Cosmology · Physics 2023-10-10 José A. R. Cembranos , Miguel González Ortiz , Prado Martín-Moruno

The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün

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…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Asahi Ishihara , Yusuke Suzuki , Toshiaki Ono , Takao Kitamura , Hideki Asada

When gravitational waves propagate near massive objects, their paths curve resulting in gravitational lensing, which is expected to be a promising new instrument in astrophysics. If the time delay between different paths is comparable with…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Oleg Bulashenko , Helena Ubach
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