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The most simple observed cases of gravitational lensing of distant quasars and galaxies by galaxies and clusters of galaxies are used to test Einstein's theory of General Relativity and Newtonian Gravity over galactic and intergalactic…

Astrophysics · Physics 2009-09-25 Arnon Dar

Scalar-tensor theories (STTs) are a widely studied alternative to General Relativity (GR) in which gravity is endowed with an additional scalar degree of freedom. Although severely constrained by solar system and pulsar timing experiments,…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Raissa F. P. Mendes

TThe detection of gravitational waves from merging binary black holes has led to a bound on the mass of a hypothetical massive carrier of the gravitational interaction predicted by some modified gravity theories (a massive graviton, for…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Clifford M. Will

We use galaxy-galaxy weak lensing data to perform a novel test on general relativity (GR) and $f(T)$ torsional gravity. In particular, we impose strong constraints using the torsional (teleparallel) formulation of gravity in which the…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Zhaoting Chen , Wentao Luo , Yi-Fu Cai , Emmanuel N. Saridakis

Recently, several interesting proposals were made modifying the law of gravity on large scales, within a sensible relativistic formulation. This allows a precise formulation of the idea that such a modification might account for galaxy…

High Energy Physics - Phenomenology · Physics 2010-04-06 A. Aguirre , C. P. Burgess , A. Friedland , D. Nolte

Gravitational lenses are a unique new constraint on the structure of galaxies. We review the evidence that most lenses are early-type galaxies, the optical properties of the lens galaxies, the evidence against constant M/L models, recent…

Astrophysics · Physics 2007-05-23 C. S. Kochanek , C. R. Keeton

In order to describe properly the gravity interactions including the mass currents, in the gravitomagnetism we construct four Maxwell type gravitational equations which are shown to be analogs of the Maxwell equations in the…

General Relativity and Quantum Cosmology · Physics 2025-03-31 Soon-Tae Hong

The modified Gauss-Bonnet gravity can be motivated by a number of physical reasons, including: the uniqueness of a gravitational Lagrangian in four and higher dimensions and the leading order $\alpha^\prime$ corrections in superstring…

High Energy Physics - Theory · Physics 2017-08-23 Ishwaree P. Neupane

The idea that we live in a Universe undergoing a period of acceleration is a strongly held notion in cosmology. As this can, potentially, be explained with a modification to General Relativity we look at current cosmological data with the…

Astrophysics · Physics 2010-11-11 Shaun A. Thomas , Filipe B. Abdalla , Jochen Weller

Weak gravitational lensing of distant galaxies by foreground structures has proven to be a powerful tool to study the mass distribution in the universe. Nowadays, attention has shifted from clusters of galaxies to the statistical properties…

Astrophysics · Physics 2009-11-07 Henk Hoekstra , Howard Yee , Mike Gladders

We consider general metric $f(R)$ theories of gravity by solving the field equations in the presence of a spherical static mass distribution by analytical perturbative means. Expanding the field equations systematically in $\cO(G)$, we…

Astrophysics · Physics 2008-11-26 T. Multamaki , I. Vilja

In a multidimensional Kaluza-Klein model with Ricci-flat internal space, we study the gravitational field in the weak-field limit. This field is created by two coupled sources. First, this is a point-like massive body which has a dust-like…

General Relativity and Quantum Cosmology · Physics 2017-11-03 Alexander Zhuk , Alexey Chopovsky , Seyed Hossein Fakhr , Valerii Shulga , Han Wei

The traditional perturbative method is applied to the case of gravitational lensing of planetary systems. A complete and detailed description of the structure of caustics for a system with an arbitrary number of planets can be obtained. I…

Astrophysics · Physics 2011-05-23 V. Bozza

Newtonian limit of Extended Theories of Gravity (in particular, higher--order and scalar--tensor theories) is theoretically discussed taking into account recent observational and experimental results.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Salvatore Capozziello

Weak gravitational lensing is rapidly becoming one of the principal probes of dark matter and dark energy in the universe. In this brief review we outline how weak lensing helps determine the structure of dark matter halos, measure the…

Cosmology and Nongalactic Astrophysics · Physics 2010-08-25 Dragan Huterer

We discuss Newtonian and the post-Newtonian limits of Fourth Order Gravity Theories pointing out, in details, their resemblances and differences with respect to General Relativity. Particular emphasis is placed on the exact solutions and…

General Relativity and Quantum Cosmology · Physics 2010-09-20 Salvatore Capozziello , Arturo Stabile

Future weak lensing surveys will map the evolution of matter perturbations and gravitational potentials, yielding a new test of general relativity on cosmic scales. They will probe the relations between matter overdensities, local…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-15 Gong-Bo Zhao , Levon Pogosian , Alessandra Silvestri , Joel Zylberberg

Viable modifications of gravity on cosmological scales predominantly rely on screening mechanisms to recover Einstein's Theory of General Relativity in the Solar System, where it has been well tested. A parametrisation of the effects of…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-23 Lucas Lombriser

We study the effects of a finite mass for the photon on its propagation in a weak gravitational field. In particular, we analyse the gravitational time delay, also known as the Shapiro effect. We work in isotropic coordinates in the…

General Relativity and Quantum Cosmology · Physics 2024-11-21 P. C. Malta , C. A. D. Zarro

We analytically work out the long-term variations caused on the motion of a planet orbiting a star by a very distant, pointlike massive object X. Apart from the semi-major axis a, all the other Keplerian osculating orbital elements…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Lorenzo Iorio