Relativistic cosmological perturbation scheme on a general background: scalar perturbations for irrotational dust
arXiv:1202.5766 · doi:10.1088/0264-9381/29/11/115004
Abstract
In standard perturbation approaches and N-body simulations, inhomogeneities are described to evolve on a predefined background cosmology, commonly taken as the homogeneous-isotropic solutions of Einstein's field equations (Friedmann-Lemaître-Robertson-Walker (FLRW) cosmologies). In order to make physical sense, this background cosmology must provide a reasonable description of the effective, i.e. spatially averaged, evolution of structure inhomogeneities also in the nonlinear regime. Guided by the insights that (i) the average over an inhomogeneous distribution of matter and geometry is in general not given by a homogeneous solution of general relativity, and that (ii) the class of FLRW cosmologies is not only locally but also globally gravitationally unstable in relevant cases, we here develop a perturbation approach that describes the evolution of inhomogeneities on a general background being defined by the spatially averaged evolution equations. This physical background interacts with the formation of structures. We derive and discuss the resulting perturbation scheme for the matter model `irrotational dust' in the Lagrangian picture, restricting our attention to scalar perturbations.
18 pages. Matches published version in CQG
References in corpus (21)
- 3+1 Formalism and Bases of Numerical Relativity
- Backreaction in late-time cosmology
- Cosmic clocks, cosmic variance and cosmic averages
- Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
- Lemaitre-Tolman-Bondi model and accelerating expansion
- What is dust? - Physical foundations of the averaging problem in cosmology
- Correspondence between kinematical backreaction and scalar field cosmologies - the `morphon field'
- Multiscale cosmology and structure-emerging Dark Energy: A plausibility analysis
- Adhesive Gravitational Clustering
- On the curvature of the present-day Universe
- Lagrangian theory of structure formation in relativistic cosmology II: average properties of a generic evolution model
- Applicability of the linearly perturbed FRW metric and Newtonian cosmology
- Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a nonperturbative approximation
- Back-reaction and effective acceleration in generic LTB dust models
- Global gravitational instability of FLRW backgrounds - interpreting the dark sectors
- Description of our cosmological spacetime as a perturbed conformal Newtonian metric and implications for the backreaction proposal for the accelerating universe
- Geometrical order-of-magnitude estimates for spatial curvature in realistic models of the Universe
- Effective inhomogeneous inflation: curvature inhomogeneities of the Einstein vacuum
- A gradient expansion for cosmological backreaction
- On the necessity of the revisions for the cosmological matter perturbations from the general relativity
- Relativistic Cosmological Perturbation Theory and the Evolution of Small-Scale Inhomogeneities
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- Backreaction in late-time cosmology
- Lagrangian theory of structure formation in relativistic cosmology II: average properties of a generic evolution model
- Lagrangian theory of structure formation in relativistic cosmology I: Lagrangian framework and definition of a nonperturbative approximation
- Solving the curvature and Hubble parameter inconsistencies through structure formation-induced curvature
- On average properties of inhomogeneous fluids in general relativity III: general fluid cosmologies
- On Backreaction in Newtonian cosmology
- Late time anisotropy as an imprint of cosmological backreaction
- Relative information entropy and Weyl curvature of the inhomogeneous Universe
- Lagrangian theory of structure formation in relativistic cosmology. IV. Lagrangian approach to gravitational waves
- Lagrangian theory of structure formation in relativistic cosmology. VI. Comparison with Szekeres exact solutions
- On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization
- Cosmological perturbations on an averaged background