• Corpus ID: 238856995

Light, delayed: The Shapiro Effect and the Newtonian Limit

@inproceedings{Possel2021LightDT,
  title={Light, delayed: The Shapiro Effect and the Newtonian Limit},
  author={Markus Possel},
  year={2021}
}
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.1 It is also an interesting test bed for exploring a topic that provides the foundations for most of the calculations we have done in this school, yet is highly complex when treated more rigorously: the question of the Newtonian limit, and of the post-Newtonian corrections that must be applied to include the leading-order effects… 
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References

SHOWING 1-10 OF 18 REFERENCES
The Shapiro time delay and the equivalence principle
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
On the unreasonable effectiveness of the post-Newtonian approximation in gravitational physics
  • C. Will
  • Physics, Medicine
    Proceedings of the National Academy of Sciences
  • 2011
The post-Newtonian approximation is a method for solving Einstein’s field equations for physical systems in which motions are slow compared to the speed of light and where gravitational fields are
Book-Review - was Einstein Right - Putting General Relativity to the Test
The renaissance of general relativity the straight road to curved space-time the gravitational red shift of light and clocks the departure of light from the straight and narrow the perihelion shift
A test of general relativity using radio links with the Cassini spacecraft
TLDR
A measurement of the frequency shift of radio photons to and from the Cassini spacecraft as they passed near the Sun agrees with the predictions of standard general relativity with a sensitivity that approaches the level at which, theoretically, deviations are expected in some cosmological models.
The Confrontation between General Relativity and Experiment
  • C. Will
  • Physics, Medicine
    Living reviews in relativity
  • 2001
TLDR
Tests of general relativity at the post-Newtonian level have reached high precision, including the light defl ection the Shapiro time delay, the perihelion advance of Mercury, and the Nordtvedt effect in lunar motion.
A two-solar-mass neutron star measured using Shapiro delay
TLDR
Radio timing observations of the binary millisecond pulsar J1614-2230 that show a strong Shapiro delay signature are presented and the pulsar mass is calculated to be (1.97 ± 0.04)M⊙, which rules out almost all currently proposed hyperon or boson condensate equations of state.
Tests of General Relativity from Timing the Double Pulsar
TLDR
By measuring relativistic corrections to the Keplerian description of the orbital motion, it is found that the “post-Keplerian” parameter s agrees with the value predicted by general relativity within an uncertainty of 0.05%, the most precise test yet obtained.
The fourth test of general relativity
In the 'fourth test of general relativity' the gravitational acceleration of celestial bodies-the Earth and the Moon-were experimentally compared in the gravitational field of the Sun. Because such
Further experimental tests of relativistic gravity using the binary pulsar PSR 1913+16
Fourteen-year observations of the binary pulsar PSR 1913 + 16 provided data consistent with a straightforward model allowing for the motion of the earth, special and general relativistic effects
Fourth Test of General Relativity: New Radar Result
New radar observations yield a more stringent test of the predicted relativistic increase in echo times of radio signals sent from Earth and reflected from Mercury and Venus. These "extra" delays may
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