Exact analytic solution for non-linear density fluctuation in a ΛCDM universe

Journal Article · Fri Jul 01 00:00:00 EDT 2016 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2016/07/017· OSTI ID:22679658

Yoo, Jaiyul ^[1]; Gong, Jinn-Ouk ^[2]

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1. Center for Theoretical Astrophysics and Cosmology, Institute for Computational Science, Universität Zürich, Winterthurerstrasse 190, Zürich (Switzerland)
2. Asia Pacific Center for Theoretical Physics, 67 Cheongam-ro, Pohang, 37673 (Korea, Republic of)

We derive the exact third-order analytic solution of the matter density fluctuation in the proper-time hypersurface in a ΛCDM universe, accounting for the explicit time-dependence and clarifying the relation to the initial condition. Furthermore, we compare our analytic solution to the previous calculation in the comoving gauge, and to the standard Newtonian perturbation theory by providing Fourier kernels for the relativistic effects. Our results provide an essential ingredient for a complete description of galaxy bias in the relativistic context.

• OSTI ID: 22679658
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ANALYTICAL SOLUTION
COMPARATIVE EVALUATIONS
DENSITY
DISTURBANCES
FLUCTUATIONS
GALAXIES
NONLINEAR PROBLEMS
PERTURBATION THEORY
RELATIVISTIC RANGE
SIMULATION
TIME DEPENDENCE
UNIVERSE