Effective Fluid Description of the Dark Universe

Abstract

We propose an effective anisotropic fluid description for a generic infrared-modified theory of gravity. In our framework, the additional component of the acceleration, commonly attributed to dark matter, is explained as a radial pressure generated by the reaction of the dark energy fluid to the presence of baryonic matter. Using quite general assumptions, and a microscopic description of the fluid in terms of a Bose-Einstein condensate of gravitons, we find the static, spherically symmetric solution for the metric in terms of the Misner-Sharp mass function and the fluid pressure. At galactic scales, we correctly reproduce the leading MOND-like $\log (r)$ and subleading $(1/r)\log (r)$ terms in the weak-field expansion of the potential. Our description also predicts a tiny (of order $10^{-6}$ for a typical spiral galaxy) Machian modification of the Newtonian potential at galactic scales, which is controlled by the cosmological acceleration.

arXiv comment13 pages, no figures. Replaced version: major revisions in the introduction, microscopic derivation of Tully-Fisher relation using Bose-Einstein condensate of gravitons. Some typos corrected

References in corpus (36)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• The Structure of Cold Dark Matter Halos
• Planck 2013 results. XVI. Cosmological parameters
• The Cosmological Constant and Dark Energy
• 4D Gravity on a Brane in 5D Minkowski Space
• Extended Theories of Gravity
• Dark Matter Substructure in Galactic Halos
• Where are the missing galactic satellites?
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Too big to fail? The puzzling darkness of massive Milky Way subhaloes
• The Baryonic Tully-Fisher Relation
• The Core-Cusp Problem
• The Milky Way's bright satellites as an apparent failure of LCDM
• Emergent Gravity and the Dark Universe
• The Baryonic Tully-Fisher Relation of Gas Rich Galaxies as a Test of LCDM and MOND
• The dark matter of gravitational lensing
• Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
• How Dark Matter Came to Matter
• Resolving the virial discrepancy in clusters of galaxies with modified Newtonian dynamics
• MOND theory
• Milky Way Mass Models and MOND
• MOND laws of galactic dynamics
• Combining rotation curves and gravitational lensing: How to measure the equation of state of dark matter in the galactic halo
• A Covariant Version of Verlinde's Emergent Gravity
• Modelling galaxy halos using dark matter with pressure
• Matter and gravitons in the gravitational collapse
• Quantum corpuscular corrections to the Newtonian potential
• MOND Prediction for the Velocity Dispersion of the `Feeble Giant' Crater II
• Two-fluid dark matter models
• On the number of soft quanta in classical field configurations
• Corpuscular slow-roll inflation
• Could pressureless dark matter have pressure?
• Comments on "Modeling Galaxy Halos Using Dark Matter with Pressure"
• Consistent Cosmic Microwave Background Spectra from Quantum Depletion
• Perspective on MOND emergence from Verlinde's "emergent gravity" and its recent test by weak lensing
• An Uneven Vacuum Energy Fluid as $\Lambda$, Dark Matter, MOND and Lens

Cited by in corpus (43)

• Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
• MOND-like Fractional Laplacian Theory
• Emergence of a Dark Force in Corpuscular Gravity
• Alleviating the cosmological constant problem from particle production
• Unified Superfluid Dark Sector
• On the Kuzmin model in fractional Newtonian gravity
• Gravitational antiscreening in stellar interiors
• Anisotropic Fluid Cosmology: an Alternative to Dark Matter?
• Galactic dynamics and long-range quantum gravity
• Corpuscular slow-roll inflation
• Quantum black holes in bootstrapped Newtonian gravity
• Quasi-normal modes and microscopic description of 2D black holes
• Dark Matter Realism
• A quantum state for the late Universe
• Anisotropic compact star with a linear pressure-density relationship
• Sine-Gordon solitonic scalar stars and black holes
• Effective metric outside bootstrapped Newtonian sources
• Emergence of a Cosmological Constant in Anisotropic Fluid Cosmology
• A simple model for explaining Galaxy Rotation Curves
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Covariant formulation of refracted gravity
• Infrared scaling for a graviton condensate
• Orbits in bootstrapped Newtonian gravity
• Quantum Formation of Primordial Black holes
• Entropy and Gravitation: From Black Hole Computers to Dark Energy and Dark Matter
• Nonsingular black holes from conformal symmetries
• Is de Sitter space always excluded in semiclassical f(R) gravity?
• Gravitational radiation reaction around a static black hole surrounded by a Dehnen type dark matter halo
• Dark Coincidences: Small-Scale Solutions with Refracted Gravity and MOND
• Modified gravity/entropic gravity correspondence due to graviton mass
• The cosmological constant of emergent spacetime in the Newtonian approximation
• Field equations and particle motion in covariant emergent gravity
• Domestic Corpuscular Inflaton
• Compact sources and cosmological horizons in lower dimensional bootstrapped Newtonian gravity
• Long-Range Quantum Gravity
• A new perspective on galactic dynamics
• Surface tension of the horizon
• Refracted Gravity Solutions from Small to Large Scales
• Quantum maximally symmetric space-times
• Matter without mass: do we really need the concept of mass?
• Effective models of non-singular quantum black holes
• Cosmological evolution driven by polytropic fluids in an inhomogeneous spacetime
• Rotating and non-linear magnetic-charged black hole with an anisotropic matter field