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The Shapiro effect, also known as the gravitational time delay, is close kin to the gravitational deflection of light that was the central topic of our Summer School. It is also an interesting test bed for exploring a topic that provides…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Markus Pössel

We discuss the deflection of light and Shapiro delay under the influence of gravity as described by Schwarzschild metric. We obtain an exact expression based on the coordinate velocity, as first set forth by Einstein, and present a…

General Relativity and Quantum Cosmology · Physics 2012-10-23 Sina Ataollah Khorasani

The Shapiro time delay is one of the four classical tests of Einstein general theory of relativity and is commonly interpreted as a constrain on the parametrized post Newtonian (PPN) parameter gamma, which is exactly unity in general…

Instrumentation and Detectors · Physics 2026-05-28 Farhad Hakimi , Hosain Hakimi

The "Shapiro delay" experienced by an astronomical messenger traveling through a gravitational field has been used to place constraints on possible deviations from the equivalence principle. The standard Shapiro delay used to obtain these…

General Relativity and Quantum Cosmology · Physics 2019-12-05 Olivier Minazzoli , Nathan K. Johnson-McDaniel , Mairi Sakellariadou

Using the Einstein gravitation theory (EGT) we calculate the Schwarzschild metric that is defined in the surrounding vacuum of a spherically symmetric mass distribution, not in rotation. The field equations of the EGT with this metric were…

General Relativity and Quantum Cosmology · Physics 2010-05-25 M. Cattani

Fomalont and Kopeikin have recently succeeded in measuring the velocity-dependent component of the Shapiro time delay of light from a quasar passing behind Jupiter. While there is general agreement that this observation tests the…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

In order to test the Einstein gravitation theory (EGT) we compare their predictions with the measured results in the following phenomena: the perihelion advance of planets, deflection of light, radar echo delays around the Sun and an…

General Relativity and Quantum Cosmology · Physics 2010-07-02 M. Cattani

Using only a thought experiment and Einstein's correspondence principal, a model is derived that correctly predicts the Schwarzschild time dilation expression in limiting cases. The method requires almost no prerequisite knowledge from the…

Physics Education · Physics 2007-05-23 Andrew Theyken Bench

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

Several versions of the Gravitational Time Dilation effect of General Relativity are formulated by the use of Einstein's Equivalence Principle. It is shown that all of them are logical consequence of a first-order axiom system of Special…

General Relativity and Quantum Cosmology · Physics 2007-09-19 Judit X. Madarasz , Istvan Nemeti , Gergely Szekely

The objective of this second part of the work is to present heuristic derivations of the three classical tests of general relativity. These derivations are based on the Einstein equivalence principle and use Newtonian physics as a…

History and Philosophy of Physics · Physics 2020-08-27 Jorge Pinochet

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

Einstein's theory of general relativity (GR) provides the best available description of gravity. The recent detection of gravitational waves and the first picture of a black hole have provided spectacular confirmations of GR, as well as…

Physics Education · Physics 2020-08-26 Jorge Pinochet

Listening to echoes has long been a way to estimate distances, a technique whose backbone is the time delay. The gravitational field also creates a time delay, called Shapiro time delay, that helps us extract some information from the field…

General Relativity and Quantum Cosmology · Physics 2024-01-17 A. Ghasemi Azar , H. Rezaei , H. Moradpour

There are several shortcomings in the "standard" Shapiro delay tests of the equivalence principle on cosmological scales \cite{minazzoli:2019pr}. Although many people in the community already acknowledged this in the literature, and…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Olivier Minazzoli

In a recent paper published in Classical and Quantum Gravity, 2004, vol. 21, p. 3803 Carlip used a vector-tensor theory of gravity to calculate the Shapiro time delay by a moving gravitational lens. He claimed that the relativistic…

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

Statements about relativistic effects are often subtle. In this essay we will demonstrate that the three classical tests of general relativity, namely perihelion precession, deflection of light and gravitational redshift, are passed…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Dennis Hansen , Jelle Hartong , Niels A. Obers

The development of both special and general relativity is accomplished in a series of 6 papers using a simple approach. The purpose is to explain the how and why of relativity to a broad public, and to be useful for students of physics by…

Popular Physics · Physics 2020-02-28 Ralph Berger

The status of experimental tests of general relativity and of theoretical frameworks for analysing them are reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the E\"otv\"os experiment, tests of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Clifford M. Will

In Newtonian gravity (NG) it is known that the gravitational field anywhere inside a spherically symmetric distribution of mass is determined only by the enclosed mass. This is also widely believed to be true in general relativity (GR), and…

General Relativity and Quantum Cosmology · Physics 2012-09-13 Shuang-Nan Zhang , Shuxu Yi
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