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2014

Non-linear matter bispectrum in general relativity

Biern, Sang Gyu, Gong, Jinn-Ouk, Jeong, Donghui

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We show that the relativistic effects are negligibly small in the non-linear density and velocity bispectra.

Although the non-linearities of Einstein equation introduce additional non-linear terms to the Newtonian fluid equations, the corrections to the bispectrum only show up on super-horizon scales.
We show this with the next-to-leading order non-linear bispectrum for a pressureless fluid in a flat Friedmann-Robertson-Walker background, by calculating the density and velocity fields up to fourth order.
We work in the comoving gauge, where the dynamics is identical to the Newtonian up to second order.

Non-linear matter bispectrum in general relativity · Around

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