Test of the Equivalence Principle in the Dark Sector on Galactic Scales

Abstract

The Einstein Equivalence Principle is a fundamental principle of the theory of General Relativity. While this principle has been thoroughly tested with standard matter, the question of its validity in the Dark sector remains open. In this paper, we consider a general tensor-scalar theory that allows to test the equivalence principle in the Dark sector by introducing two different conformal couplings to standard matter and to Dark matter. We constrain these couplings by considering galactic observations of strong lensing and of velocity dispersion. Our analysis shows that, in the case of a violation of the Einstein Equivalence Principle, data favour violations through coupling strengths that are of opposite signs for ordinary and Dark matter. At the same time, our analysis does not show any significant deviations from General Relativity.

20 pages (+ 17 pages of appendix), 8 figures, version accepted for publication in JCAP

References in corpus (27)

• The Confrontation between General Relativity and Experiment
• Test of the Equivalence Principle Using a Rotating Torsion Balance
• The Sloan Lens ACS Survey. V. The Full ACS Strong-Lens Sample
• The population of galaxy-galaxy strong lenses in forthcoming optical imaging surveys
• Equivalence Principle Violations and Couplings of a Light Dilaton
• Equivalence Principle Implications of Modified Gravity Models
• What Do We Know About Lorentz Invariance?
• Lunar Laser Ranging Tests of the Equivalence Principle
• First catalog of strong lens candidates in the COSMOS field
• Tidal Tails Test the Equivalence Principle in the Dark Sector
• Improved tests of Local Position Invariance using 87Rb and 133Cs fountains
• Cosmological parameters from strong gravitational lensing and stellar dynamics in elliptical galaxies
• Galilean Equivalence for Galactic Dark Matter
• The Sloan Digital Sky Survey Quasar Lens Search. II. Statistical Lens Sample from the Third Data Release
• Phenomenology of the Equivalence Principle with Light Scalars
• Constraint on the Post-Newtonian Parameter gamma on Galactic Size Scales
• Breaking of the equivalence principle in the electromagnetic sector and its cosmological signatures
• Testing Lorentz symmetry with planetary orbital dynamics
• Test of the gravitational redshift with stable clocks in eccentric orbits: application to Galileo satellites 5 and 6
• Dark-Matter-Induced Weak Equivalence Principle Violation
• Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
• Toward a Unified Description of Dark Energy and Dark Matter from the Abnormally Weighting Energy Hypothesis
• Hydrodynamic Effects in the Symmetron and $f(R)$-gravity Models
• Cosmological Constraints on the Gravitational Interactions of Matter and Dark Matter
• The Abnormally Weighting Energy Hypothesis: the Missing Link between Dark Matter and Dark Energy
• Observables in theories with a varying fine structure constant
• Is Dark Energy Abnormally Weighting?

Cited by in corpus (9)

• Searching for an oscillating massive scalar field as a dark matter candidate using atomic hyperfine frequency comparisons
• Long Range Interactions in Cosmology: Implications for Neutrinos
• Cosmological implications of scale-independent energy-momentum squared gravity: Pseudo nonminimal interactions in dark matter and relativistic relics
• Spotting deviations from R^2 inflation
• Hubble tension as a window on the gravitation of the dark matter sector: Exploration of a family of models
• Testing Lorentz invariance of dark matter with satellite galaxies
• Physical quantities and spatial parameters in the complex octonion curved space
• Contrastive analysis of two energy gradients in the ultra-strong magnetic fields
• Galaxy clusters, cosmic chronometers and the Einstein equivalence principle