Unification of dark matter and dark energy: the inhomogeneous Chaplygin gas

N Bilić, GB Tupper, RD Viollier - Physics Letters B, 2002 - Elsevier
Unification of dark matter and dark energy: the inhomogeneous Chaplygin gas -
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On average properties of inhomogeneous fluids in general relativity: dust cosmologies

T Buchert - General Relativity and Gravitation, 2000 - Springer
For general relativistic spacetimes filled with irrotational 'dust'a generalized form of
Friedmann's equations for an 'effective'expansion factor a D of inhomogeneous cosmologies …

Relativistic second-order perturbations of the Einstein–de Sitter universe

S Matarrese, S Mollerach, M Bruni - Physical Review D, 1998 - APS
We consider the evolution of relativistic perturbations in the Einstein–de Sitter cosmological
model, including second-order effects. The perturbations are considered in two different …

Dark energy from structure: a status report

T Buchert - General Relativity and Gravitation, 2008 - Springer
The effective evolution of an inhomogeneous universe model in any theory of gravitation
may be described in terms of spatially averaged variables. In Einstein's theory, restricting …

Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?

T Buchert, M Carfora, GFR Ellis, EW Kolb… - … and quantum gravity, 2015 - iopscience.iop.org
No. In a number of papers, Green and Wald argue that the standard FLRW model
approximates our Universe extremely well on all scales, except close to strong-field …

On cosmic acceleration without dark energy

EW Kolb, S Matarrese, A Riotto - New Journal of Physics, 2006 - iopscience.iop.org
We elaborate on the proposal that the observed acceleration of the Universe is the result of
the backreaction of cosmological perturbations, rather than the effect of a negative-pressure …

Second-order perturbations of the Friedmann world model

H Noh, J Hwang - Physical Review D, 2004 - APS
We consider the instability of the Friedmann world model to second order in perturbations.
We present the perturbed set of equations up to second order in the Friedmann background …

On general-relativistic Lagrangian perturbation theory and its non-perturbative generalization

T Buchert, I Delgado Gaspar, JJ Ostrowski - Universe, 2022 - mdpi.com
The Newtonian Lagrangian perturbation theory is a widely used framework to study structure
formation in cosmology in the nonlinear regime. We review a general-relativistic formulation …

Newtonian cosmology in Lagrangian formulation: foundations and perturbation theory

J Ehlers, T Buchert - General Relativity and Gravitation, 1997 - Springer
The “Newtonian” theory of spatially unbounded, self-gravitating, pressureless continua in
Lagrangian form is reconsidered. Following a review of the pertinent kinematics, we present …

Inhomogeneous cosmology with numerical relativity

HJ Macpherson, PD Lasky, DJ Price - Physical Review D, 2017 - APS
We perform three-dimensional numerical relativity simulations of homogeneous and
inhomogeneous expanding spacetimes, with a view toward quantifying nonlinear effects …