Consequences of symmetries and consistency relations in the large-scale structure of the universe for non-local bias and modified gravity

Article Article scientifique Article Consequences of symmetries and consistency relations in the large-scale structure of the universe for non-local bias and modified gravity eng 2014 author Kechagias Alexandros 810141 author Norena Sanchez Jorge Ivan 813343 author Perrier Hideki 781745 author Riotto Antonio Walter 650982 83-106 10.1016/j.nuclphysb.2014.03.020 0550-3213 http://linkinghub.elsevier.com/retrieve/pii/S0550321314000947 Consistency relations involving the soft limit of the (n+1)correlation functions of dark matter and galaxy overdensities can be obtained, both in real and redshift space, thanks to the symmetries enjoyed by the Newtonian equations of motion describing the dark matter and galaxy fluids coupled through gravity. We study the implications of such symmetries for the theory of galaxy bias and for the theories of modified gravity. We find that the invariance of the fluid equations under a coordinate transformation that induces a long-wavelength velocity constrains the bias to depend only on a set of invariants, while the symmetry of such equations under Lifshitz scalings in the case of matter domination allows one to compute the time-dependence of the coefficients in the bias expansion. We also find that theories of modified gravity which violate the equivalence principle induce a violation of the consistency relation which may be a signature for their observation. Thus, given adiabatic Gaussian initial conditions, the observation of a deviation from the consistency relation for galaxies would signal a breakdown of the so-called non-local Eulerian bias model or the violation of the equivalence principle in the underlying theory of gravity. Dewey 500.2 Open Access - SCOAP3 37 Département de physique théorique 133 false Nuclear physics. B 883 aa0776f5-43d3-4f96-a800-fd04d8ab67d4 Article (Published version) Public Riotto6.pdf 369886 application/pdf CC BY openAccess Faculté des sciences / Section de physique / Département de physique théorique

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Consequences of symmetries and consistency relations in the large-scale structure of the universe for non-local bias and modified gravity	Nuclear physics. B			2014	706	284

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Norena Sanchez, Jorge Ivan