Abstract

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 Eötvös experiment, tests of special relativity, and the gravitational redshift experiment. Future tests of EEP and of the inverse square law will search 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 defl ection the Shapiro time delay, the perihelion advance of Mercury, and the Nordtvedt effect in lunar motion. Gravitational wave damping has been detected in an amount that agrees with general relativity to half a percent using the Hulse-Taylor binary pulsar, and new binary pulsar systems may yield further improvements. When direct observation of gravitational radiation from astrophysical sources begins, new tests of general relativity will be possible.

Highlights

  • At the time of the birth of general relativity (GR), experimental confirmation was almost a side issue

  • Among the testable violations of strong equivalence principle (SEP) are a violation of the weak equivalence principle for gravitating bodies that leads to perturbations in the Earth-Moon orbit; preferred-location and preferred-frame effects in the locally measured gravitational constant that could produce observable geophysical effects; and possible variations in the gravitational constant over cosmological timescales

  • In a pioneering calculation using his early form of the parametrized post-Newtonian (PPN) formalism, Nordtvedt [97] showed that many metric theories of gravity predict that massive bodies violate the weak equivalence principle – that is, fall with different accelerations depending on their gravitational self-energy

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Summary

Introduction

At the time of the birth of general relativity (GR), experimental confirmation was almost a side issue. The Genesis (1887–1919) comprises the period of the two great experiments which were the foundation of relativistic physics – the Michelson-Morley experiment and the Eotvos experiment – and the two immediate confirmations of GR – the deflection of light and the perihelion advance of Mercury Following this was a period of Hibernation (1920–1960) during which theoretical work temporarily outstripped technology and experimental possibilities, and, as a consequence, the field stagnated and was relegated to the backwaters of physics and astronomy. Astrophysical observations and gravitational wave detectors are being planned to explore and test GR in the strong-field, highly-dynamical regime associated with the formation and dynamics of these objects. In this Living Review, we shall survey the theoretical frameworks for studying experimental gravitation, summarize the current status of experiments, and attempt to chart the future of the subject. References to TEGP will be by chapter or section, e.g. “TEGP 8.9 [147]”

The Einstein equivalence principle
Schiff ’s conjecture
Matter and field variables:
The TH μ formalism
The c2 formalism
Universal coupling and the metric postulates
The strong equivalence principle
The parametrized post-Newtonian formalism
Coordinate system
Matter variables:
Competing theories of gravity
General relativity
The deflection of light
The time delay of light
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
Method Lunar Laser Ranging
Tests of post-Newtonian conservation laws
Geodetic precession
Search for gravitomagnetism
Improved PPN parameter values
Defining weak and strong gravity
Compact bodies and the strong equivalence principle
Motion and gravitational radiation in general relativity
Einstein’s equations in “relaxed” form
Equations of motion and gravitational waveform
Gravitational wave detection
The binary pulsar and general relativity
A population of binary pulsars?
Binary pulsars and alternative theories
Binary pulsars and scalar-tensor gravity
Gravitational wave observatories
Polarization of gravitational waves
Gravitational radiation back-reaction
Speed of gravitational waves
Other strong-gravity tests
Findings
Conclusions
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