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We investigate gravitational lensing in the Palatini approach to the f(R) extended theories of gravity. Starting from an exact solution of the f(R) field equations, which corresponds to the Schwarzschild-de Sitter metric and, on the basis…

Astrophysics · Physics 2009-07-22 Matteo Luca Ruggiero

In this paper we discuss and compare a node-only LAGEOS-LAGEOS II combination and a node-only LAGEOS-LAGEOS II-Ajisai-Jason1 combination for the determination of the Lense-Thirring effect. The new combined EIGEN-CG01C Earth gravity model…

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

This paper discusses the Laser Astrometric Test Of Relativity (LATOR) mission. By using a combination of independent time-series of highly accurate gravitational deflection of light in the immediate proximity to the Sun along with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

We propose the Lagrangian formulation for describing the motion of a test particle in a general relativistic, stationary, and axially symmetric spacetime. The test particle is also affected by a radiation field, modeled as a coherent flux…

General Relativity and Quantum Cosmology · Physics 2018-05-07 Vittorio De Falco , Emmanuele Battista , Maurizio Falanga

The GRavitational lEnsing Accuracy Testing 3 (GREAT3) challenge is the third in a series of image analysis challenges, with a goal of testing and facilitating the development of methods for analyzing astronomical images that will be used to…

Using the linear theory of perturbations in General Relativity, we express a set of consistency relations that can be observationally tested with current and future large scale structure surveys. We then outline a stringent…

Astrophysics · Physics 2009-11-13 Yong-Seon Song , Olivier Doré

In 1859, Le Verrier discovered the mercury perihelion advance anomaly. This anomaly turned out to be the first relativistic-gravity effect observed. During the 141 years to 2000, the precisions of laboratory and space experiments, and…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Wei-Tou Ni

In this paper we very preliminarily investigate the possibility of measuring the post-Newtonian general relativistic gravitoelectric and gravitomagnetic components of the acceleration of gravity on the Earth, in continuous regime, with two…

General Relativity and Quantum Cosmology · Physics 2009-05-27 Lorenzo Iorio

We study the impact of relativistic gravitational deflection of light on the accuracy of future Space Interferometry Mission (SIM). We estimate the deflection angles caused by the monopole, quadrupole and octupole components of…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Slava G. Turyshev

The Laser Astrometric Test Of Relativity (LATOR) is a Michelson-Morley-type experiment designed to achieve a major improvement in the accuracy of the tests of relativistic gravity in the solar system. By using a combination of independent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

In two analyses of orbital data from the Mars Global Surveyor spacecraft, Iorio [1,2] has claimed confirmation of the frame-dragging effect predicted by general relativity. Initially to an accuracy of 6%, and now 0.5%, exceeding the…

Astrophysics · Physics 2007-11-11 Kris Krogh

Einstein's theory of general relativity (GR) has been precisely tested on solar system scales, but extragalactic tests are still poorly performed. In this work, we use a newly compiled sample of galaxy-scale strong gravitational lenses to…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-02 Jun-Jie Wei , Yun Chen , Shuo Cao , Xue-Feng Wu

The measurement of spin effects in general relativity has recently taken centre stage with the successfully launched Gravity Probe B experiment coming toward an end, coupled with recently reported measurements using laser ranging. Many…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. F. O'Connell

We review the derivation of the metric for a spinning body of any shape and composition using linearized general relativity theory, and also obtain the same metric using a transformation argument. The latter derivation makes it clear that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. J. Adler , A. S. Silbergleit

Solar system observations have traditionally allowed for very stringent tests of Einstein's theory of general relativity. We here revisit the possibility of using these observations to constrain gravitational parity violation as…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Yuya Nakamura , Daiki Kikuchi , Kei Yamada , Hideki Asada , Nicolas Yunes

Frame dragging, one of the outstanding phenomena predicted by General Relativity, is efficiently studied by means of the laser-ranged satellites LARES, LAGEOS and LAGEOS 2. The accurate analysis of the orbital perturbations of Earth's solid…

Earth and Planetary Astrophysics · Physics 2018-02-02 V. G. Gurzadyan , I. Ciufolini , H. G. Khachatryan , S. Mirzoyan , A. Paolozzi , G. Sindoni

In these lectures I give an overview of gravitational lensing, concentrating on theoretical aspects, including derivations of some of the important results. Topics covered include the determination of surface mass densities of intervening…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Alan Heavens

We explore the sensitivity of weak gravitational lensing to second-order corrections to the spacetime metric within a cosmological adaptation of the parameterized post-Newtonian framework. Whereas one might expect nonlinearities of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 R. Ali Vanderveld , Robert R. Caldwell , Jason Rhodes

Recent experiments have successfully tested Einstein's general theory of relativity to remarkable precision. We discuss recent progress in the tests of relativistic gravity in the solar system and present motivations for the new generation…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Slava G. Turyshev

This paper addresses the motivation, technology and recent results in the tests of the general theory of relativity (GR) in the solar system. We specifically discuss Lunar Laser Ranging (LLR), the only technique available to test the Strong…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Slava G. Turyshev , James G. Williams , Kenneth Nordtvedt , Michael Shao , Thomas W. Murphy