Abstract

The status of experimental tests of general relativity and of theoretical frameworks for analyzing them is reviewed and updated. Einstein’s equivalence principle (EEP) is well supported by experiments such as the Eötvös experiment, tests of local Lorentz invariance and clock experiments. Ongoing tests of EEP and of the inverse square law are searching for new interactions arising from unification or quantum gravity. Tests of general relativity at the post-Newtonian level have reached high precision, including the light deflection, the Shapiro time delay, the perihelion advance of Mercury, the Nordtvedt effect in lunar motion, and frame-dragging. Gravitational wave damping has been detected in an amount that agrees with general relativity to better than half a percent using the Hulse-Taylor binary pulsar, and a growing family of other binary pulsar systems is yielding new tests, especially of strong-field effects. Current and future tests of relativity will center on strong gravity and gravitational waves.

Highlights

  • 11 June 2014Added new Section 2.3.3 on the Pioneer anomaly; split former Section 3 into new 3 and 4, and extended Section 3.3 on competing theories of gravity; added new Sections 5.3 and 5.4 on compact binary systems; added a new Section 8 on astrophysical and cosmological tests

  • When general relativity was born 100 years ago, experimental confirmation was almost a side issue

  • This proposal dovetailed with earlier hints of a deviation from the inverse-square law of Newtonian gravitation derived from measurements of the gravity profile down deep mines in Australia, and with emerging ideas from particle physics suggesting the possible presence of very low-mass particles with gravitational-strength couplings

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Summary

11 June 2014

Added new Section 2.3.3 on the Pioneer anomaly; split former Section 3 into new 3 and 4, and extended Section 3.3 on competing theories of gravity; added new Sections 5.3 and 5.4 on compact binary systems; added a new Section 8 on astrophysical and cosmological tests. The number of references increased from 299 to 454. Added two figures (8, 9) and updated Figures 1, 3, 5, and 7

Introduction
The Einstein equivalence principle
Tests of the weak equivalence principle
10-8 Eotvos
Tests of local Lorentz invariance
Tests of local position invariance
10-1 Pound-Rebka
Method
Schiff ’s conjecture
The T Hεμ formalism
The c2 formalism
The “fifth” force
Short-range modifications of Newtonian gravity
The Pioneer anomaly
Universal coupling and the metric postulates
The strong equivalence principle
The parametrized post-Newtonian formalism
Competing theories of gravity
General relativity
Scalar–tensor theories
Vector–tensor theories
Quadratic gravity and Chern–Simons theories
Massive gravity
The deflection of light
The time delay of light
Shapiro time delay and the speed of gravity
The perihelion shift of Mercury
Tests of the strong equivalence principle
The Nordtvedt effect and the lunar Eotvos experiment
Preferred-frame and preferred-location effects
Constancy of the Newtonian gravitational constant
Search for gravitomagnetism
Full disclosure
Geodetic precession
Tests of post-Newtonian conservation laws
Prospects for improved PPN parameter values
Defining weak and strong gravity
Compact bodies and the strong equivalence principle
Motion and gravitational radiation in general relativity: A history
Einstein’s equations in “relaxed” form
Equations of motion and gravitational waveform
Compact binary systems in scalar–tensor theories
Scalar–tensor equations in “relaxed” form
Binary systems containing black holes
The binary pulsar and general relativity
A zoo of binary pulsars
Binary pulsars and alternative theories
Binary pulsars and scalar–tensor gravity
Gravitational-wave observatories
Alternative theories of gravity
Speed of gravitational waves
Astrophysical and Cosmological Tests
Findings
Conclusions
Full Text
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