Nonlinear matter bispectrum in general relativity

Sang Gyu Biern, Jinn Ouk Gong, Donghui Jeong

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We show that the relativistic effects are negligibly small in the nonlinear density and velocity bispectra. Although the nonlinearities of the Einstein equation introduce additional nonlinear terms to the Newtonian fluid equations, the corrections to the bispectrum only show up on superhorizon scales. We show this with the next-to-leading order nonlinear 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. We also discuss the leading order matter bispectrum in various gauges, and show yet another relativistic effect near horizon scales that the matter bispectrum strongly depends on the gauge choice.

Original languageEnglish (US)
Article number103523
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number10
StatePublished - May 21 2014

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


Dive into the research topics of 'Nonlinear matter bispectrum in general relativity'. Together they form a unique fingerprint.

Cite this