
arXiv: 1707.09945
handle: 11588/695189 , 11584/233234 , 11585/613252
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.
13 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
High Energy Physics - Theory, Cosmology and Nongalactic Astrophysics (astro-ph.CO), Physics, QC1-999, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Nuclear and high energy physics, Astrophysics - Astrophysics of Galaxies, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Astrophysics of Galaxies (astro-ph.GA), Dark matter, MOND, Dark fluid, Astrophysics - Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory, Cosmology and Nongalactic Astrophysics (astro-ph.CO), Physics, QC1-999, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Nuclear and high energy physics, Astrophysics - Astrophysics of Galaxies, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Astrophysics of Galaxies (astro-ph.GA), Dark matter, MOND, Dark fluid, Astrophysics - Cosmology and Nongalactic Astrophysics
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