Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a non-perturbative approximation

Details Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a non-perturbative approximation Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a non-perturbative approximation

2012-03-28

arxiv.org/abs/1203.6263v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, submitted

Scientific paper

In this first paper we present a Lagrangian framework for the description of structure formation in general relativity, restricting attention to irrotational dust matter. As an application we present a self-contained derivation of a general-relativistic analogue of Zel'dovich's approximation for the description of structure formation in cosmology, and compare it with previous suggestions in the literature. This approximation is then investigated: paraphrasing the derivation in the Newtonian framework we provide general-relativistic analogues of the basic system of equations for a single dynamical field variable and recall the first-order perturbation solution of these equations. We then define a general-relativistic analogue of Zel'dovich's approximation and investigate consequences by functionally evaluating relevant variables. We so obtain a possibly powerful model that, although constructed through extrapolation of a perturbative solution, can be used to address non-perturbatively, e.g. problems of structure formation, backreaction problems, nonlinear properties of gravitational radiation, and light-propagation in realistic inhomogeneous universe models. It also provides the key-building blocks for initializing a fully relativistic numerical simulation.

Affiliated with

Also associated with

No associations

Rating

Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a non-perturbative approximation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a non-perturbative approximation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a non-perturbative approximation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-272762