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New probe of departures from general relativity using Minkowski functionals.

Fang, Wenjuan and Li, Baojiu and Zhao, Gong-Bo (2017) 'New probe of departures from general relativity using Minkowski functionals.', Physical review letters., 118 (18). p. 181301.


The morphological properties of the large scale structure of the Universe can be fully described by four Minkowski functionals (MFs), which provide important complementary information to other statistical observables such as the widely used 2-point statistics in configuration and Fourier spaces. In this work, for the first time, we present the differences in the morphology of the large scale structure caused by modifications to general relativity (to address the cosmic acceleration problem), by measuring the MFs from N-body simulations of modified gravity and general relativity. We find strong statistical power when using the MFs to constrain modified theories of gravity: with a galaxy survey that has survey volume ∼0.125ðh−1 GpcÞ3 and galaxy number density ∼1=ðh−1 MpcÞ3 , the two normal-branch Dvali-GabadadzePorrati models and the F5 fðRÞ model that we simulated can be discriminated from the ΛCDM model at a significance level ≳5σ with an individual MF measurement. Therefore, the MF of the large scale structure is potentially a powerful probe of gravity, and its application to real data deserves active exploration.

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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review Letters 118, 181301 © (2017) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:07 April 2017
Date deposited:06 July 2017
Date of first online publication:02 May 2017
Date first made open access:06 July 2017

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