We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Durham University

Research & business

View Profile

Publication details for Dr Marius Constantin Cautun

Shi, Yanlong, Cautun, Marius & Li, Baojiu (2018). New method for initial density reconstruction. Physical Review D 97(2): 023505.

Author(s) from Durham


A theoretically interesting and practically important question in cosmology is the reconstruction of the
initial density distribution provided a late-time density field. This is a long-standing question with a revived
interest recently, especially in the context of optimally extracting the baryonic acoustic oscillation (BAO)
signals from observed galaxy distributions. We present a new efficient method to carry out this
reconstruction, which is based on numerical solutions to the nonlinear partial differential equation that
governs the mapping between the initial Lagrangian and final Eulerian coordinates of particles in evolved
density fields. This is motivated by numerical simulations of the quartic Galileon gravity model, which has
similar equations that can be solved effectively by multigrid Gauss-Seidel relaxation. The method is based
on mass conservation, and does not assume any specific cosmological model. Our test shows that it has a
performance comparable to that of state-of-the-art algorithms that were very recently put forward in the
literature, with the reconstructed density field over ∼80% (50%) correlated with the initial condition at
k ≲ 0.6 h=Mpc (1.0 h=Mpc). With an example, we demonstrate that this method can significantly improve
the accuracy of BAO reconstruction.