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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
We perform three-dimensional numerical relativity simulations of homogeneous and inhomogeneous expanding spacetimes, with a view toward quantifying nonlinear effects …