Abstract
Reconstruction of the local velocity field from the overdensity field and a gravitational acceleration that falls off from a point mass as r −2 yields velocities in broad agreement with peculiar velocities measured with galaxy distance indicators. MONDian gravity does not. To quantify this, we introduce the velocity angular correlation function as a diagnostic of peculiar velocity field alignment and coherence as a function of scale. It is independent of the bias parameter of structure formation in the standard model of cosmology and the acceleration parameter of MOND. A modified gravity acceleration consistent with observed large scale structure would need to asymptote to zero at large distances more like r −2, than r −1.
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Notes
During early cosmic times, all accelerations on all scales are large, so that the Newtonian equations pertain. As time goes by, the gravitational field decreases in amplitude and enters the MOND region. This modification would be T N g N +T MOND g MOND, where T N is the time spent in the Newtonian regime and T MOND is time spent in the MOND regime. T N /T MOND depends on the amplitude of the initial fluctuations.
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Acknowledgements
This research was supported by the Munich Institute for Astro- and Particle Physics (MIAPP) of the DFG cluster of excellence “Origin and Structure of the Universe”. We thank MIAPP for their hospitality while this contribution was being prepared and Richard Anderson for suggesting it. The 6dFGS is a project of the Australian Astronomical Observatory. We are grateful for grant LP130100286 from the Australian Research Council and to CAASTRO (http://www.caastro.org) for conference travel support. CAASTRO is the ARC’s Centre of Excellence for All Sky Astrophysics. Comments from David Parkinson in connection with the 2nd CAASTRO/CoEPP joint workshop on dark matter are appreciated, as were comments from the referee.
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Mould, J., Colless, M., Erdoğdu, P. et al. Modified gravity and large scale flows. Astrophys Space Sci 357, 162 (2015). https://doi.org/10.1007/s10509-015-2351-2
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DOI: https://doi.org/10.1007/s10509-015-2351-2