Precision Gravity Tests and the Einstein Equivalence Principle

Abstract

General Relativity is today the best theory of gravity addressing a wide range of phenomena. Our understanding of physical laws, from cosmology to local scales, cannot be properly formulated without taking into account it. It is based on one of the most fundamental principles of Nature, the Equivalence Principle, which represents the core of the Einstein theory of gravity. The confirmation of its validity at different scales and in different contexts represents one of the main challenges of modern physics both from the theoretical and the experimental points of view. A major issue related to this principle is the fact that we actually do not know if it is valid at quantum level. Furthermore, recent progress on relativistic theories of gravity have to take into account new issues like Dark Matter and Dark Energy, as well as the validity of fundamental principles like local Lorentz and position invariance. Experiments allow to set stringent constraints on well established symmetry laws, on the physics beyond the Standard Model of particles and interactions, and on General Relativity and its possible extensions. In this review, we discuss precision tests of gravity in General Relativity and alternative theories and their relation with the Equivalence Principle. In the first part, we discuss the Einstein Equivalence Principle according to its weak and strong formulation. We recall some basic topics of General Relativity and the necessity of its extension. Some models of modified gravity are presented in some details. The second part of the paper is devoted to the experimental tests of the Equivalence Principle in its weak formulation. We present the results and methods used in high-precision experiments, and discuss the potential and prospects for future experimental tests.

References in corpus (60)

• Dynamics of dark energy
• The Confrontation between General Relativity and Experiment
• Cosmology and the Fate of Dilatation Symmetry
• Ultralight scalars as cosmological dark matter
• Atom Interferometers
• Extra force in $f(R)$ modified theories of gravity
• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Test of the Equivalence Principle Using a Rotating Torsion Balance
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• Interferometry with Bose-Einstein Condensates in Microgravity
• Testing General Relativity with Atom Interferometry
• Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
• A New Method for Gravitational Wave Detection with Atomic Sensors
• Matter-gravity couplings and Lorentz violation
• An Atomic Gravitational Wave Interferometric Sensor (AGIS)
• Atom Interferometry tests of the isotropy of post-Newtonian gravity
• Quantum Test of the Universality of Free Fall
• Equivalence Principle Violations and Couplings of a Light Dilaton
• Atom Interferometry with up to 24-Photon-Momentum-Transfer Beam Splitters
• Test of Equivalence Principle at $10^{-8}$ Level by a Dual-species Double-diffraction Raman Atom Interferometer
• Limits to the sensitivity of a low noise compact atomic gravimeter
• Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale
• Spin-Dependent Macroscopic Forces from New Particle Exchange
• Short-range tests of the equivalence principle
• Searching for dark matter and variation of fundamental constants with laser and maser interferometry
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• Precision measurement of gravity with cold atoms in an optical lattice and comparison with a classical gravimeter
• Preferred-Frame and CP-Violation Tests with Polarized Electrons
• Equivalence Principle Implications of Modified Gravity Models
• Quantum Tests of the Einstein Equivalence Principle with the STE-QUEST Space Mission
• GUP parameter from quantum corrections to the Newtonian potential
• Lunar Laser Ranging Tests of the Equivalence Principle
• An Atomic Gravitational Wave Interferometric Sensor in Low Earth Orbit (AGIS-LEO)
• Atom interferometry with the Sr optical clock transition
• Measurement of the Gravity-Field Curvature by Atom Interferometry
• Comparison between two mobile absolute gravimeters: optical versus atomic interferometers
• Enhancing the area of a Raman atom interferometer using a versatile double-diffraction technique
• Atom interferometry gravity-gradiometer for the determination of the Newtonian gravitational constant G
• Testing the universality of free fall with rubidium and ytterbium in a very large baseline atom interferometer
• Linear perturbations in Galileon gravity models
• Phenomenology of the Equivalence Principle with Light Scalars
• Theory of gravitation theories: a no-progress report
• Is it possible to detect gravitational waves with atom interferometers?
• Space test of the Equivalence Principle: first results of the MICROSCOPE mission
• Proposal for a Quantum Test of the Weak Equivalence Principle with Entangled Atomic Species
• Atom gravimeters and gravitational redshift
• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
• Design of a dual species atom interferometer for space
• A quantum sensor for atom-surface interactions below 10 $\mu$m
• Gravitational dynamics in Bose Einstein condensates
• Stringy gravity at short distances
• Reply to: Atom gravimeters and the gravitational redshift
• Metric fluctuations and the Weak Equivalence Principle
• Equivalence principle violation at finite temperature in scalar-tensor gravity
• The equivalence principle in Kaluza-Klein gravity
• Small scale structures in coupled scalar field dark matter
• An absolute calibration system for millimeter-accuracy APOLLO measurements
• Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics

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• MICROSCOPE mission: final results of the test of the Equivalence Principle
• Comparing Equivalent Gravities: common features and differences
• Testing gravity with cold atom interferometry: Results and prospects
• Generalized Uncertainty Principle, Classical Mechanics, and General Relativity
• Cornering the axion with CP-violating interactions
• Probing the Lorentz Symmetry Violation Using the First Image of Sagittarius A*: Constraints on Standard-Model Extension Coefficients
• Updating constraints on f(T) teleparallel cosmology and the consistency with Big Bang Nucleosynthesis
• Spacetime Quantum Reference Frames and superpositions of proper times
• Unveiling dark fifth forces with linear cosmology
• Search for oscillations of fundamental constants using molecular spectroscopy
• Constraints on a tidal charge of the supermassive black hole in M87* with the EHT observations in April 2017
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Searches for beyond-Riemann gravity
• Searching for a Fifth Force with Atomic and Nuclear Clocks
• Testing f(R) gravity models with quasar X-ray and UV fluxes
• Neutrino spin oscillations in conformally gravity coupling models and quintessence surrounding a black hole
• BBN Constraints on $f(Q,T)$ Gravity
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Is the $W$-boson mass enhanced by the axion-like particle, dark photon, or chameleon dark energy?
• Neutrino pair annihilation ($\nu \bar{\nu }\to e^{-}{e}^{+}$) in the presence of quintessence surrounding a black hole
• New test on the Einstein equivalence principle through the photon ring of black holes
• Leading bounds on micro- to picometer fifth forces from neutron star cooling
• Gravity from Pre-geometry
• Gravitational redshift induces quantum interference
• Quantum generalisation of Einstein's Equivalence Principle can be verified with entangled clocks as quantum reference frames
• New Interpretations of the Cosmological Preference for a Negative Neutrino Mass
• Velocity distribution of elliptical galaxies in the framework of Non-local Gravity model
• Introduction to gravitational redshift of quantum photons propagating in curved spacetime
• The Origin of Rest-mass Energy
• Possible effects of Hybrid Gravity on stellar kinematics in elliptical galaxies
• Extended Geometric Trinity of Gravity
• The Equivalence Principle as a Noether Symmetry
• Significance of Composition-Dependent Effects in Fifth-Force Searches
• Never bet against Einstein
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
• Assessment of the experimental support for differential simultaneity
• Quantum Sensing Using Atomic Clocks for Nuclear and Particle Physics
• Adherence and violation of the equivalence principle from classical to quantum mechanics
• Equivalent Gravities and Equivalence Principle: Foundations and experimental implications
• Impact of inhomogeneities on slowly rolling Quintessence: implications for the local variations of the fine-structure constant
• Sensitivity of KM3NeT to Violation of Equivalence Principle
• Hybrid electrostatic-atomic accelerometer for future space gravity missions
• Testing the Quantum Equivalence Principle with Gravitational Waves
• Phenomenological Implications of a Magnetic 5th Force
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left
• Phase modulation detection of a strontium atom interferometer gyroscope
• Delta-kick Squeezing