Abstract
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.
Original language | English |
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Article number | 017 |
Journal | Journal of Cosmology and Astroparticle Physics |
Volume | 2016 |
Issue number | 7 |
DOIs | |
State | Published - 2016 |
Bibliographical note
Publisher Copyright:© 2016 IOP Publishing Ltd and Sissa Medialab srl .
Keywords
- cosmological perturbation theory
- galaxy clustering
- power spectrum