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The geodetic VLBI technique is capable of measuring the Sun's gravity light deflection from distant radio sources around the whole sky. This light deflection is equivalent to the conventional gravitational delay used for the reduction of…

Instrumentation and Methods for Astrophysics · Physics 2017-02-23 O. Titov

The Sun's gravitational field deflects the apparent positions of close objects in accordance with the formulae of general relativity. Optical astrometry is used to test the prediction, but only with the stars close to the Sun and only…

General Relativity and Quantum Cosmology · Physics 2015-11-03 O. Titov , A. Girdiuk

Geodetic Very Long Baseline Interferometry (VLBI) measures the group delay in the barycentric reference frame. As the Earth is orbiting around the Solar system barycentre with the velocity $V$ of 30 km/s, VLBI proves to be a handy tool to…

Instrumentation and Methods for Astrophysics · Physics 2018-10-10 Oleg Titov , Hana Krasna

We consider an alternative formula for time delay in gravitational lensing. Imposing a smoothness condition on the gravitationally deformed paths followed by the photons from the source to the observer, we show that our formula displays the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Nicola Alchera , Marco Bonici , Roberta Cardinale , Alba Domi , Nicola Maggiore , Chiara Righi , Silvano Tosi

Context. We highlight the capabilities of the geodetic VLBI technique to test General relativity in the classical astrometric style, i.e., measuring the deflection of light in the vicinity of the Sun. Aims. In previous studies, the…

We consider several aspects of the generalized multi-plane gravitational lens theory, in which light rays from a distant source are affected by several main deflectors, and in addition by the tidal gravitational field of the large-scale…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-10 Peter Schneider

We present a novel test of general relativity (GR): measuring the geometric component of the time delay due to gravitational lensing. GR predicts that photons and gravitational waves follow the same geodesic paths and thus experience the…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-19 David Rubin , Istvan Szapudi , Benjamin J. Shappee , Gagandeep S. Anand

We reexamined the gravitational time delay of light, allowing for various models of modified gravity. We clarify the dependence of the time delay (and induced frequency shift) on modified gravity models and investigate how to distinguish…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideki Asada

Equations of light, propagating from quasar to observer on earth, are integrated in the time-dependent gravitational field of the solar system by making use of either retarded or advanced solutions of the Einstein field equations. This…

Astrophysics · Physics 2007-05-23 Sergei M. Kopeikin

A relativistic sub-picosecond model of gravitational time delay in radio astronomical observations is worked out and a new experimental test of general relativity is discussed in which the effect of retardation of gravity associated with…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei Kopeikin , Ed Fomalont

General relativity may be an effective theory with higher curvature correction terms in the action. Inclusion of these terms leads to exciting new possibilities, e.g., gravitational and electromagnetic perturbations following different…

General Relativity and Quantum Cosmology · Physics 2019-11-12 Avirup Ghosh , Soumya Jana , Akash K Mishra , Sudipta Sarkar

The gravitational time delay of light, also called the Shapiro time delay, is one of the four classical tests of Einstein's theory of general relativity. This article derives the Newtonian version of the Shapiro time delay from Einstein's…

General Relativity and Quantum Cosmology · Physics 2020-01-03 Markus Pössel

We discuss theoretical formalisms concerning with experimental verification of General Relativity (GR). Non-metric generalizations of GR are considered and a system of postulates is formulated for metric-affine and Finsler gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Alexandrov , I. B. Vavilova , V. I. Zhdanov

We study the gravitational time delay in ray propagation due to rotating masses in the linear approximation of general relativity. Simple expressions are given for the gravitomagnetic time delay that occurs when rays of radiation cross a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. Ciufolini , S. Kopeikin , B. Mashhoon , F. Ricci

The theory of gravitational lensing has revealed many generic and fundamental properties of compact objects like black holes and wormholes. In this article, we utilize a recent formulation to compute the quantum effects on the deflection…

General Relativity and Quantum Cosmology · Physics 2018-01-11 Kimet Jusufi , Farook Rahaman , Ayan Banerjee

Alternative theories of gravity not only modify the polarization contents of the gravitational wave, but also affect the motions of the stars and the energy radiated away via the gravitational radiation. These aspects leave imprints in the…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Shaoqi Hou , Yungui Gong

The modern Very Long Baseline Interferometry (VLBI) relativistic delay model, as documented in the IERS Conventions refers to the time epoch when the signal passes one of two stations of an interferometer baseline (selected arbitrarily from…

Instrumentation and Methods for Astrophysics · Physics 2021-01-22 Oleg Titov , Alexei Melnikov , Yulia Lopez

In this paper we consider the possibility of measuring the corrections induced by the square of the parameter a_g of the Kerr metric to the general relativistic deflection of electromagnetic waves and time delay in an Earth based…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lorenzo Iorio

Gravitational physics of VLBI experiment conducted on September 8, 2002 and dedicated to measure the speed of gravity (a fundamental constant in the Einstein equations) is treated in the first post-Newtonian approximation. Explicit…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

In this paper we investigate the relation between the potential and geometric time delays in gravitational lensing. In the original paper of Shapiro (1964), it is stated that there is a time delay in the radar signals between Earth and…

General Relativity and Quantum Cosmology · Physics 2020-10-01 Oleg Yu. Tsupko , Gennady S. Bisnovatyi-Kogan , Adam Rogers , Xinzhong Er
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